(a) Kilogram
(b) Meter
(c) Newton
(d) Second
✅ Correct Answer: (c) Newton
Explanation: Newton is a derived unit of force (kg·m/s²). Fundamental units are kg, m, s, A, K, mol, cd.
Q2. The SI unit of luminous intensity is:
(a) Candela
(b) Lux
(c) Lumen
(d) Watt
✅ Correct Answer: (a) Candela
Explanation: Candela (cd) is the base SI unit for luminous intensity. Lux and lumen are derived units.
Q3. Which of the following is a derived quantity?
(a) Length
(b) Mass
(c) Time
(d) Velocity
✅ Correct Answer: (d) Velocity
Explanation: Velocity = displacement/time, hence derived from fundamental units.
Q4. The SI unit of electric current is:
(a) Volt
(b) Ampere
(c) Ohm
(d) Coulomb
✅ Correct Answer: (b) Ampere
Explanation: Ampere (A) is a base SI unit. Volt, Ohm, Coulomb are derived units.
Q5. The unit of pressure in SI is:
(a) Pascal
(b) Bar
(c) Torr
(d) Atmosphere
✅ Correct Answer: (a) Pascal
Explanation: Pascal (Pa) = N/m² = kg·m⁻¹·s⁻². Bar, Torr, atm are non-SI units.
Q6. Which of the following is dimensionless?
(a) Strain
(b) Force
(c) Energy
(d) Power
✅ Correct Answer: (a) Strain
Explanation: Strain = Δlength/original length → ratio, hence dimensionless.
Q7. The SI unit of frequency is:
(a) Hertz
(b) Joule
(c) Watt
(d) Newton
✅ Correct Answer: (a) Hertz
Explanation: Hertz (Hz) = cycles per second = s⁻¹.
Q8. Which of the following pairs is correctly matched?
(a) Work – Watt
(b) Power – Joule
(c) Force – Newton
(d) Energy – Hertz
✅ Correct Answer: (c) Force – Newton
Explanation: Work → Joule, Power → Watt, Force → Newton, Energy → Joule.
Q9. The SI unit of temperature is:
(a) Celsius
(b) Kelvin
(c) Fahrenheit
(d) Joule
✅ Correct Answer: (b) Kelvin
Explanation: Kelvin (K) is the SI base unit of thermodynamic temperature.
Q10. The SI unit of charge is:
(a) Ampere
(b) Coulomb
(c) Volt
(d) Ohm
✅ Correct Answer: (b) Coulomb
Explanation: Charge (Q) = Current × Time → A·s = Coulomb.
Q11. The SI unit of energy is:
(a) Watt
(b) Joule
(c) Newton
(d) Erg
✅ Correct Answer: (b) Joule
Explanation: Joule (J) = N·m = kg·m²/s².
Q12. The SI unit of power is:
(a) Joule
(b) Watt
(c) Newton
(d) Pascal
✅ Correct Answer: (b) Watt
Explanation: Watt (W) = J/s = kg·m²/s³.
Q13. The SI unit of force constant (spring constant) is:
(a) N/m
(b) N·m
(c) J/m
(d) kg·m/s²
✅ Correct Answer: (a) N/m
Explanation: Force constant k = Force/Displacement → N/m.
Q14. The SI unit of momentum is:
(a) kg·m/s
(b) N·s
(c) J·s
(d) Both (a) and (b)
✅ Correct Answer: (d) Both (a) and (b)
Explanation: Momentum p = mass × velocity = kg·m/s. Also, impulse = momentum = N·s.
Q15. The SI unit of torque is:
(a) N/m
(b) N·m
(c) J
(d) kg·m²/s²
✅ Correct Answer: (b) N·m
Explanation: Torque = Force × perpendicular distance → N·m.
Q16. The SI unit of surface tension is:
(a) N/m
(b) N·m
(c) J/m²
(d) Pa
✅ Correct Answer: (a) N/m
Explanation: Surface tension = Force/Length → N/m.
Q17. The SI unit of gravitational constant (G) is:
(a) N·m²/kg²
(b) J/kg
(c) m/s²
(d) N/kg
✅ Correct Answer: (a) N·m²/kg²
Explanation: From Newton’s law of gravitation: F = Gm₁m₂/r².
Q18. The SI unit of angular velocity is:
(a) rad/s
(b) m/s
(c) Hz
(d) rad
✅ Correct Answer: (a) rad/s
Explanation: Angular velocity ω = angle/time → rad/s.
Q19. The SI unit of work function is:
(a) Joule
(b) Watt
(c) Electronvolt
(d) Newton
✅ Correct Answer: (a) Joule
Explanation: Work function is energy, measured in Joules (or eV in atomic physics).
Q20. The SI unit of inductance is:
(a) Henry
(b) Tesla
(c) Weber
(d) Volt
✅ Correct Answer: (a) Henry
Explanation: Inductance L = Φ/I → SI unit Henry (H).
Q21. The SI unit of magnetic flux is:
(a) Weber
(b) Tesla
(c) Henry
(d) Ampere
✅ Correct Answer: (a) Weber
Explanation: Magnetic flux Φ = B·A → SI unit Weber (Wb).
Q22. The SI unit of magnetic flux density is:
(a) Weber
(b) Tesla
(c) Henry
(d) Joule
✅ Correct Answer: (b) Tesla
Explanation: B = Φ/A → Wb/m² = Tesla (T).
Q23. The SI unit of capacitance is:
(a) Farad
(b) Coulomb
(c) Volt
(d) Ohm
✅ Correct Answer: (a) Farad
Explanation: Capacitance C = Q/V → SI unit Farad (F).
Q24. The SI unit of resistivity is:
(a) Ohm·m
(b) Ohm/m
(c) Ohm
(d) Ohm·cm
✅ Correct Answer: (a) Ohm·m
Explanation: Resistivity ρ = R·A/L → Ω·m.
Q25. The SI unit of energy density is:
(a) J/m³
(b) J/m²
(c) N/m²
(d) W/m³
✅ Correct Answer: (a) J/m³
Explanation: Energy density = Energy/Volume → J/m³.
Q26. Which of the following defines measurement?
(a) Comparison of a quantity with a standard
(b) Counting objects
(c) Estimation
(d) Guessing
✅ Correct Answer: (a) Comparison of a quantity with a standard
Explanation: Measurement is the process of comparing a physical quantity with a chosen standard unit.
Q27. Which of the following is NOT a type of error in measurement?
(a) Systematic error
(b) Random error
(c) Gross error
(d) Logical error
✅ Correct Answer: (d) Logical error
Explanation: Errors are classified as systematic, random, and gross. Logical error is not a standard category.
Q28. Accuracy of measurement refers to:
(a) Closeness to true value
(b) Repeatability
(c) Least count
(d) Precision
✅ Correct Answer: (a) Closeness to true value
Explanation: Accuracy means how close a measurement is to the actual value.
Q29. Precision of measurement refers to:
(a) Closeness to true value
(b) Consistency of repeated measurements
(c) Least count
(d) Error-free measurement
✅ Correct Answer: (b) Consistency of repeated measurements
Explanation: Precision indicates reproducibility of results, even if not accurate.
Q30. The least count of a measuring instrument is:
(a) Maximum value it can measure
(b) Minimum value it can measure
(c) Smallest value it can measure accurately
(d) Error in measurement
✅ Correct Answer: (c) Smallest value it can measure accurately
Explanation: Least count = value of one smallest division on the scale.
Q31. Significant figures in measurement indicate:
(a) Accuracy of measurement
(b) Precision of measurement
(c) Both accuracy and precision
(d) None
✅ Correct Answer: (c) Both accuracy and precision
Explanation: Significant figures reflect reliability of measurement, combining accuracy and precision.
Q32. Which of the following has 3 significant figures?
(a) 0.0045
(b) 4.50
(c) 4500
(d) 0.0450
✅ Correct Answer: (b) 4.50
Explanation: 4.50 has three significant figures (4, 5, and the trailing zero after decimal).
Q33. Which of the following is a systematic error?
(a) Zero error in instrument
(b) Human reaction time
(c) Fluctuations in environment
(d) Random noise
✅ Correct Answer: (a) Zero error in instrument
Explanation: Systematic errors are consistent and repeatable, like zero error.
Q34. Random errors occur due to:
(a) Faulty instrument
(b) Environmental fluctuations
(c) Wrong calibration
(d) Consistent bias
✅ Correct Answer: (b) Environmental fluctuations
Explanation: Random errors are unpredictable, caused by external disturbances.
Q35. Which of the following reduces random error?
(a) Calibration
(b) Repeated measurements
(c) Using better instruments
(d) Avoiding zero error
✅ Correct Answer: (b) Repeated measurements
Explanation: Random errors average out when measurements are repeated.
Q36. Which of the following reduces systematic error?
(a) Calibration
(b) Repeated measurements
(c) Averaging
(d) Guessing
✅ Correct Answer: (a) Calibration
Explanation: Systematic errors can be corrected by proper calibration.
Q37. The accuracy of a stopwatch depends on:
(a) Least count
(b) Reaction time of observer
(c) Calibration
(d) All of the above
✅ Correct Answer: (d) All of the above
Explanation: Stopwatch accuracy depends on least count, calibration, and observer’s reaction time.
Q38. Which of the following is NOT a physical quantity?
(a) Length
(b) Mass
(c) Time
(d) Beauty
✅ Correct Answer: (d) Beauty
Explanation: Physical quantities are measurable; beauty is subjective.
Q39. Which of the following is dimensionless?
(a) Angle
(b) Strain
(c) Refractive index
(d) All of the above
✅ Correct Answer: (d) All of the above
Explanation: Angle (rad), strain, and refractive index are ratios, hence dimensionless.
Q40. The percentage error in measurement is:
(a) (Error/True value) × 100
(b) (True value/Error) × 100
(c) (Measured value/Error) × 100
(d) (Error/Measured value) × 100
✅ Correct Answer: (a) (Error/True value) × 100
Explanation: Percentage error = (Difference between measured and true value / True value) × 100.
Q41. If a length is measured as 2.36 cm with least count 0.01 cm, the maximum possible error is:
(a) 0.01 cm
(b) 0.005 cm
(c) 0.1 cm
(d) 0.001 cm
✅ Correct Answer: (b) 0.005 cm
Explanation: Maximum error = ±(least count/2) = ±0.005 cm.
Q42. Which of the following is NOT a unit of measurement of length?
(a) Meter
(b) Light year
(c) Parsec
(d) Joule
✅ Correct Answer: (d) Joule
Explanation: Joule is unit of energy, not length.
Q43. Which of the following quantities cannot be measured directly?
(a) Mass
(b) Time
(c) Force
(d) Length
✅ Correct Answer: (c) Force
Explanation: Force is measured indirectly via acceleration and mass.
Q44. Which of the following is a gross error?
(a) Wrong reading due to carelessness
(b) Zero error
(c) Environmental fluctuation
(d) Instrument defect
✅ Correct Answer: (a) Wrong reading due to carelessness
Explanation: Gross errors are human mistakes like misreading scales.
Q45. Which of the following is the most precise instrument?
(a) Ruler
(b) Vernier calipers
(c) Screw gauge
(d) Spherometer
✅ Correct Answer: (c) Screw gauge
Explanation: Screw gauge has least count of 0.01 mm, more precise than ruler or vernier.
Q46. Which of the following is NOT a source of error in measurement?
(a) Instrument defect
(b) Observer’s bias
(c) Environmental conditions
(d) Correct calibration
✅ Correct Answer: (d) Correct calibration
Explanation: Proper calibration eliminates error, not causes it.
Q47. The least count of a vernier caliper is typically:
(a) 0.1 cm
(b) 0.01 cm
(c) 0.001 cm
(d) 0.1 mm
✅ Correct Answer: (b) 0.01 cm
Explanation: Vernier calipers generally have least count of 0.01 cm.
Q48. The least count of a screw gauge is typically:
(a) 0.1 mm
(b) 0.01 mm
(c) 0.001 mm
(d) 0.1 cm
✅ Correct Answer: (b) 0.01 mm
Explanation: Screw gauge usually has least count of 0.01 mm.
Q49. The least count of a spherometer is typically:
(a) 0.01 mm
(b) 0.001 mm
(c) 0.1 mm
(d) 0.01 cm
✅ Correct Answer: (a) 0.01 mm
Explanation: Spherometer has least count of 0.01 mm.
Q50. Which of the following is the most important factor in measurement?
(a) Accuracy
(b) Precision
(c) Reliability
(d) All of the above
✅ Correct Answer: (d) All of the above
Explanation: Accuracy, precision, and reliability together ensure valid measurement.
Q51. The least count of a vernier caliper is typically:
(a) 0.1 cm
(b) 0.01 cm
(c) 0.001 cm
(d) 0.1 mm
✅ Correct Answer: (b) 0.01 cm
Explanation: Vernier calipers usually have a least count of 0.01 cm (0.1 mm).
Q52. The least count of a screw gauge is typically:
(a) 0.1 mm
(b) 0.01 mm
(c) 0.001 mm
(d) 0.1 cm
✅ Correct Answer: (b) 0.01 mm
Explanation: Screw gauge can measure very small lengths with least count 0.01 mm.
Q53. The least count of a spherometer is typically:
(a) 0.01 mm
(b) 0.001 mm
(c) 0.1 mm
(d) 0.01 cm
✅ Correct Answer: (a) 0.01 mm
Explanation: Spherometer is used for measuring small thicknesses and curvatures, least count ~0.01 mm.
Q54. Which instrument is used to measure diameter of a thin wire?
(a) Vernier caliper
(b) Screw gauge
(c) Spherometer
(d) Micrometer
✅ Correct Answer: (b) Screw gauge
Explanation: Screw gauge is ideal for measuring small diameters like wires.
Q55. Which instrument is used to measure radius of curvature of a lens?
(a) Screw gauge
(b) Spherometer
(c) Vernier caliper
(d) Micrometer
✅ Correct Answer: (b) Spherometer
Explanation: Spherometer measures radius of curvature of spherical surfaces.
Q56. Which instrument is used to measure current?
(a) Voltmeter
(b) Ammeter
(c) Galvanometer
(d) Multimeter
✅ Correct Answer: (b) Ammeter
Explanation: Ammeter is designed to measure electric current directly.
Q57. Which instrument is used to measure potential difference?
(a) Ammeter
(b) Voltmeter
(c) Galvanometer
(d) Multimeter
✅ Correct Answer: (b) Voltmeter
Explanation: Voltmeter measures voltage across two points in a circuit.
Q58. Which instrument can measure both current and voltage?
(a) Ammeter
(b) Voltmeter
(c) Multimeter
(d) Galvanometer
✅ Correct Answer: (c) Multimeter
Explanation: Multimeter is versatile, measuring current, voltage, and resistance.
Q59. Which instrument is used to measure very small currents?
(a) Ammeter
(b) Galvanometer
(c) Voltmeter
(d) Multimeter
✅ Correct Answer: (b) Galvanometer
Explanation: Galvanometer is sensitive to small currents.
Q60. Which instrument is used to measure resistance?
(a) Ammeter
(b) Voltmeter
(c) Ohmmeter
(d) Galvanometer
✅ Correct Answer: (c) Ohmmeter
Explanation: Ohmmeter directly measures resistance.
Q61. Which instrument is used to measure frequency of AC signals?
(a) Oscilloscope
(b) Voltmeter
(c) Ammeter
(d) Galvanometer
✅ Correct Answer: (a) Oscilloscope
Explanation: Oscilloscope displays waveforms, allowing frequency measurement.
Q62. Which instrument is used to measure time intervals accurately?
(a) Stopwatch
(b) Atomic clock
(c) Pendulum clock
(d) Digital clock
✅ Correct Answer: (b) Atomic clock
Explanation: Atomic clocks are the most precise time-measuring instruments.
Q63. Which instrument is used to measure atmospheric pressure?
(a) Manometer
(b) Barometer
(c) Hygrometer
(d) Thermometer
✅ Correct Answer: (b) Barometer
Explanation: Barometer measures atmospheric pressure.
Q64. Which instrument is used to measure humidity?
(a) Hygrometer
(b) Barometer
(c) Thermometer
(d) Manometer
✅ Correct Answer: (a) Hygrometer
Explanation: Hygrometer measures moisture content in air.
Q65. Which instrument is used to measure temperature?
(a) Thermometer
(b) Barometer
(c) Hygrometer
(d) Manometer
✅ Correct Answer: (a) Thermometer
Explanation: Thermometer measures temperature.
Q66. Which instrument is used to measure sound intensity?
(a) Decibel meter
(b) Oscilloscope
(c) Microphone
(d) Hygrometer
✅ Correct Answer: (a) Decibel meter
Explanation: Sound intensity is measured in decibels using a sound level meter.
Q67. Which instrument is used to measure refractive index?
(a) Spectrometer
(b) Microscope
(c) Telescope
(d) Spherometer
✅ Correct Answer: (a) Spectrometer
Explanation: Spectrometer can measure refractive index of materials.
Q68. Which instrument is used to measure wavelength of light?
(a) Spectrometer
(b) Microscope
(c) Telescope
(d) Barometer
✅ Correct Answer: (a) Spectrometer
Explanation: Spectrometer is used in optical experiments to measure wavelength.
Q69. Which instrument is used to measure electric power consumption?
(a) Wattmeter
(b) Voltmeter
(c) Ammeter
(d) Multimeter
✅ Correct Answer: (a) Wattmeter
Explanation: Wattmeter measures power in electrical circuits.
Q70. Which instrument is used to measure magnetic field strength?
(a) Magnetometer
(b) Galvanometer
(c) Voltmeter
(d) Ammeter
✅ Correct Answer: (a) Magnetometer
Explanation: Magnetometer measures magnetic field intensity.
Q71. Which instrument is used to measure acceleration?
(a) Accelerometer
(b) Speedometer
(c) Oscilloscope
(d) Ammeter
✅ Correct Answer: (a) Accelerometer
Explanation: Accelerometer measures acceleration directly.
Q72. Which instrument is used to measure blood pressure?
(a) Barometer
(b) Manometer
(c) Sphygmomanometer
(d) Hygrometer
✅ Correct Answer: (c) Sphygmomanometer
Explanation: Sphygmomanometer is used in medical applications to measure blood pressure.
Q73. Which instrument is used to measure density of liquids?
(a) Hydrometer
(b) Hygrometer
(c) Barometer
(d) Manometer
✅ Correct Answer: (a) Hydrometer
Explanation: Hydrometer measures relative density of liquids.
Q74. Which instrument is used to measure electric resistance with high accuracy?
(a) Wheatstone bridge
(b) Ohmmeter
(c) Ammeter
(d) Voltmeter
✅ Correct Answer: (a) Wheatstone bridge
Explanation: Wheatstone bridge is a precise instrument for measuring resistance.
Q75. Which instrument is used to measure very small lengths in nanometers?
(a) Electron microscope
(b) Vernier caliper
(c) Screw gauge
(d) Spherometer
✅ Correct Answer: (a) Electron microscope
Explanation: Electron microscope can resolve and measure structures at nanometer scale.
Q76. Which of the following is a fundamental physical quantity?
(a) Velocity
(b) Mass
(c) Force
(d) Energy
✅ Correct Answer: (b) Mass
Explanation: Mass is a base quantity in SI. Velocity, force, and energy are derived.
Q77. Which of the following is a derived physical quantity?
(a) Length
(b) Time
(c) Acceleration
(d) Temperature
✅ Correct Answer: (c) Acceleration
Explanation: Acceleration = velocity/time, hence derived.
Q78. Which of the following is a scalar quantity?
(a) Force
(b) Velocity
(c) Work
(d) Displacement
✅ Correct Answer: (c) Work
Explanation: Work has magnitude only, no direction → scalar.
Q79. Which of the following is a vector quantity?
(a) Speed
(b) Distance
(c) Displacement
(d) Energy
✅ Correct Answer: (c) Displacement
Explanation: Displacement has both magnitude and direction → vector.
Q80. Which of the following is NOT a fundamental quantity in SI?
(a) Length
(b) Mass
(c) Time
(d) Speed
✅ Correct Answer: (d) Speed
Explanation: Speed is derived (distance/time).
Q81. Which of the following is dimensionless?
(a) Strain
(b) Refractive index
(c) Angle (in radians)
(d) All of the above
✅ Correct Answer: (d) All of the above
Explanation: These are ratios, hence dimensionless.
Q82. The dimensional formula of velocity is:
(a) [M L T^-1]
(b) [M L T^-2]
(c) [L T^-1]
(d) [M L^2 T^-2]
✅ Correct Answer: (c) [L T^-1]
Explanation: Velocity = displacement/time → L/T.
Q83. The dimensional formula of acceleration is:
(a) [L T^-2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [L T^-1]
✅ Correct Answer: (a) [L T^-2]
Explanation: Acceleration = velocity/time → L/T².
Q84. The dimensional formula of energy is:
(a) [M L^2 T^-2]
(b) [M L T^-2]
(c) [M L T^-1]
(d) [M L^2 T^-1]
✅ Correct Answer: (a) [M L^2 T^-2]
Explanation: Energy = Work = Force × distance → (MLT⁻² × L) = ML²T⁻².
Q85. The dimensional formula of momentum is:
(a) [M L T^-1]
(b) [M L^2 T^-2]
(c) [M L T^-2]
(d) [M L^-1 T^-2]
✅ Correct Answer: (a) [M L T^-1]
Explanation: Momentum = mass × velocity → M × L/T.
Q86. Which of the following is a vector physical quantity?
(a) Work
(b) Energy
(c) Force
(d) Temperature
✅ Correct Answer: (c) Force
Explanation: Force has both magnitude and direction.
Q87. Which of the following is a scalar physical quantity?
(a) Acceleration
(b) Momentum
(c) Power
(d) Velocity
✅ Correct Answer: (c) Power
Explanation: Power = Work/Time, magnitude only.
Q88. Which of the following is NOT a physical quantity?
(a) Pressure
(b) Love
(c) Energy
(d) Mass
✅ Correct Answer: (b) Love
Explanation: Physical quantities must be measurable.
Q89. Which of the following is a fundamental quantity?
(a) Electric current
(b) Resistance
(c) Voltage
(d) Charge
✅ Correct Answer: (a) Electric current
Explanation: Electric current is a base SI quantity.
Q90. Which of the following is a derived quantity?
(a) Length
(b) Mass
(c) Force
(d) Time
✅ Correct Answer: (c) Force
Explanation: Force = mass × acceleration → derived.
Q91. Which of the following is a vector?
(a) Speed
(b) Distance
(c) Velocity
(d) Work
✅ Correct Answer: (c) Velocity
Explanation: Velocity has magnitude and direction.
Q92. Which of the following is a scalar?
(a) Displacement
(b) Force
(c) Energy
(d) Momentum
✅ Correct Answer: (c) Energy
Explanation: Energy has magnitude only.
Q93. Which of the following is a fundamental quantity?
(a) Temperature
(b) Pressure
(c) Energy
(d) Work
✅ Correct Answer: (a) Temperature
Explanation: Temperature is a base SI quantity.
Q94. Which of the following is a derived quantity?
(a) Time
(b) Length
(c) Density
(d) Mass
✅ Correct Answer: (c) Density
Explanation: Density = mass/volume → derived.
Q95. Which of the following is a vector?
(a) Work
(b) Energy
(c) Acceleration
(d) Temperature
✅ Correct Answer: (c) Acceleration
Explanation: Acceleration has direction.
Q96. Which of the following is a scalar?
(a) Force
(b) Velocity
(c) Distance
(d) Momentum
✅ Correct Answer: (c) Distance
Explanation: Distance has magnitude only.
Q97. Which of the following is a fundamental quantity?
(a) Time
(b) Speed
(c) Force
(d) Energy
✅ Correct Answer: (a) Time
Explanation: Time is a base SI quantity.
Q98. Which of the following is a derived quantity?
(a) Mass
(b) Length
(c) Pressure
(d) Temperature
✅ Correct Answer: (c) Pressure
Explanation: Pressure = Force/Area → derived.
Q99. Which of the following is a vector?
(a) Work
(b) Energy
(c) Displacement
(d) Temperature
✅ Correct Answer: (c) Displacement
Explanation: Displacement has direction.
Q100. Which of the following is a scalar?
(a) Velocity
(b) Force
(c) Speed
(d) Acceleration
✅ Correct Answer: (c) Speed
Explanation: Speed has magnitude only.
Q101. Which of the following is a fundamental quantity?
(a) Electric current
(b) Resistance
(c) Voltage
(d) Power
✅ Correct Answer: (a) Electric current
Explanation: Electric current is one of the seven SI base quantities.
Q102. Which of the following is a derived quantity?
(a) Mass
(b) Length
(c) Charge
(d) Time
✅ Correct Answer: (c) Charge
Explanation: Charge = Current × Time → derived.
Q103. Which of the following is a vector?
(a) Work
(b) Energy
(c) Momentum
(d) Temperature
✅ Correct Answer: (c) Momentum
Explanation: Momentum has both magnitude and direction.
Q104. Which of the following is a scalar?
(a) Force
(b) Velocity
(c) Pressure
(d) Acceleration
✅ Correct Answer: (c) Pressure
Explanation: Pressure has magnitude only, no direction.
Q105. The dimensional formula of pressure is:
(a) [M L^-1 T^-2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L^0 T^-2]
✅ Correct Answer: (a) [M L^-1 T^-2]
Explanation: Pressure = Force/Area → (MLT⁻² / L²) = ML⁻¹T⁻².
Q106. The dimensional formula of power is:
(a) [M L^2 T^-3]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^2 T^-3]
Explanation: Power = Work/Time → (ML²T⁻² / T) = ML²T⁻³.
Q107. The dimensional formula of surface tension is:
(a) [M T^-2]
(b) [M L^-1 T^-2]
(c) [M L T^-2]
(d) [M L^2 T^-2]
✅ Correct Answer: (b) [M L^-1 T^-2]
Explanation: Surface tension = Force/Length → (MLT⁻² / L) = ML⁻¹T⁻².
Q108. The dimensional formula of gravitational constant (G) is:
(a) [M^-1 L^3 T^-2]
(b) [M L^2 T^-2]
(c) [M L T^-2]
(d) [M^-2 L^3 T^-1]
✅ Correct Answer: (a) [M^-1 L^3 T^-2]
Explanation: From F = Gm₁m₂/r² → G = FL²/M² = M⁻¹L³T⁻².
Q109. The dimensional formula of Planck’s constant (h) is:
(a) [M L^2 T^-1]
(b) [M L T^-1]
(c) [M L^2 T^-2]
(d) [M L T^-2]
✅ Correct Answer: (a) [M L^2 T^-1]
Explanation: h = Energy × Time → (ML²T⁻² × T) = ML²T⁻¹.
Q110. The dimensional formula of universal gas constant (R) is:
(a) [M L^2 T^-2 K^-1 mol^-1]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L^2 T^-3]
✅ Correct Answer: (a) [M L^2 T^-2 K^-1 mol^-1]
Explanation: R = PV/nT → dimensions of energy per mole per Kelvin.
Q111. Which of the following is a vector?
(a) Energy
(b) Work
(c) Acceleration
(d) Pressure
✅ Correct Answer: (c) Acceleration
Explanation: Acceleration has magnitude and direction.
Q112. Which of the following is a scalar?
(a) Force
(b) Momentum
(c) Speed
(d) Displacement
✅ Correct Answer: (c) Speed
Explanation: Speed has magnitude only.
Q113. Which of the following is a fundamental quantity?
(a) Mole
(b) Density
(c) Pressure
(d) Energy
✅ Correct Answer: (a) Mole
Explanation: Mole is a base SI quantity for amount of substance.
Q114. Which of the following is a derived quantity?
(a) Temperature
(b) Volume
(c) Time
(d) Mass
✅ Correct Answer: (b) Volume
Explanation: Volume = Length³ → derived.
Q115. Which of the following is a vector?
(a) Work
(b) Energy
(c) Velocity
(d) Temperature
✅ Correct Answer: (c) Velocity
Explanation: Velocity has direction.
Q116. Which of the following is a scalar?
(a) Acceleration
(b) Force
(c) Distance
(d) Momentum
✅ Correct Answer: (c) Distance
Explanation: Distance has magnitude only.
Q117. Which of the following is a fundamental quantity?
(a) Length
(b) Speed
(c) Force
(d) Energy
✅ Correct Answer: (a) Length
Explanation: Length is a base SI quantity.
Q118. Which of the following is a derived quantity?
(a) Mass
(b) Time
(c) Area
(d) Temperature
✅ Correct Answer: (c) Area
Explanation: Area = Length × Length → derived.
Q119. Which of the following is a vector?
(a) Work
(b) Energy
(c) Displacement
(d) Pressure
✅ Correct Answer: (c) Displacement
Explanation: Displacement has direction.
Q120. Which of the following is a scalar?
(a) Velocity
(b) Force
(c) Speed
(d) Acceleration
✅ Correct Answer: (c) Speed
Explanation: Speed has magnitude only.
Q121. Which of the following is a fundamental quantity?
(a) Time
(b) Pressure
(c) Energy
(d) Work
✅ Correct Answer: (a) Time
Explanation: Time is a base SI quantity.
Q122. Which of the following is a derived quantity?
(a) Mass
(b) Length
(c) Density
(d) Temperature
✅ Correct Answer: (c) Density
Explanation: Density = Mass/Volume → derived.
Q123. Which of the following is a vector?
(a) Work
(b) Energy
(c) Force
(d) Temperature
✅ Correct Answer: (c) Force
Explanation: Force has magnitude and direction.
Q124. Which of the following is a scalar?
(a) Displacement
(b) Momentum
(c) Energy
(d) Velocity
✅ Correct Answer: (c) Energy
Explanation: Energy has magnitude only.
Q125. Which of the following is a fundamental quantity?
(a) Temperature
(b) Pressure
(c) Energy
(d) Work
✅ Correct Answer: (a) Temperature
Explanation: Temperature is a base SI quantity.
Q126. The dimensional formula of work is:
(a) [M L T^-2]
(b) [M L^2 T^-2]
(c) [M L T^-1]
(d) [M L^2 T^-1]
✅ Correct Answer: (b) [M L^2 T^-2]
Explanation: Work = Force × Distance → (MLT⁻² × L) = ML²T⁻².
Q127. The dimensional formula of impulse is:
(a) [M L T^-1]
(b) [M L^2 T^-2]
(c) [M L T^-2]
(d) [M L^-1 T^-2]
✅ Correct Answer: (a) [M L T^-1]
Explanation: Impulse = Force × Time = Momentum → ML/T.
Q128. The dimensional formula of pressure is:
(a) [M L^-1 T^-2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^-1 T^-2]
Explanation: Pressure = Force/Area → (MLT⁻² / L²) = ML⁻¹T⁻².
Q129. The dimensional formula of energy density is:
(a) [M L^-1 T^-2]
(b) [M L^-2 T^-2]
(c) [M L^-1 T^-3]
(d) [M L^-2 T^-3]
✅ Correct Answer: (b) [M L^-2 T^-2]
Explanation: Energy density = Energy/Volume → (ML²T⁻² / L³) = ML⁻¹T⁻².
Q130. The dimensional formula of angular momentum is:
(a) [M L^2 T^-1]
(b) [M L T^-1]
(c) [M L^2 T^-2]
(d) [M L T^-2]
✅ Correct Answer: (a) [M L^2 T^-1]
Explanation: Angular momentum = r × p → L × (ML/T) = ML²T⁻¹.
Q131. The dimensional formula of torque is:
(a) [M L^2 T^-2]
(b) [M L T^-2]
(c) [M L^2 T^-1]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^2 T^-2]
Explanation: Torque = Force × Distance → (MLT⁻² × L) = ML²T⁻².
Q132. The dimensional formula of coefficient of viscosity is:
(a) [M L^-1 T^-1]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L^-2 T^-1]
✅ Correct Answer: (a) [M L^-1 T^-1]
Explanation: η = Stress/Strain rate → (ML⁻¹T⁻² / T⁻¹) = ML⁻¹T⁻¹.
Q133. The dimensional formula of surface tension is:
(a) [M T^-2]
(b) [M L^-1 T^-2]
(c) [M L T^-2]
(d) [M L^2 T^-2]
✅ Correct Answer: (b) [M L^-1 T^-2]
Explanation: Surface tension = Force/Length → (MLT⁻² / L) = ML⁻¹T⁻².
Q134. The dimensional formula of modulus of elasticity is same as:
(a) Pressure
(b) Energy
(c) Force
(d) Work
✅ Correct Answer: (a) Pressure
Explanation: Modulus of elasticity = Stress/Strain → same as Pressure = ML⁻¹T⁻².
Q135. The dimensional formula of gravitational potential is:
(a) [M L^2 T^-2]
(b) [M L^2 T^-1]
(c) [M L^0 T^-2]
(d) [M^0 L^2 T^-2]
✅ Correct Answer: (d) [M^0 L^2 T^-2]
Explanation: Potential energy per unit mass → (ML²T⁻² / M) = L²T⁻².
Q136. The dimensional formula of electric potential is:
(a) [M L^2 T^-3 A^-1]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^2 T^-3 A^-1]
Explanation: V = Work/Charge → (ML²T⁻² / AT) = ML²T⁻³A⁻¹.
Q137. The dimensional formula of resistance is:
(a) [M L^2 T^-3 A^-2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^2 T^-3 A^-2]
Explanation: R = V/I → (ML²T⁻³A⁻¹ / A) = ML²T⁻³A⁻².
Q138. The dimensional formula of capacitance is:
(a) [M^-1 L^-2 T^4 A^2]
(b) [M L^2 T^-3 A^-2]
(c) [M L T^-2]
(d) [M L^2 T^-2]
✅ Correct Answer: (a) [M^-1 L^-2 T^4 A^2]
Explanation: C = Q/V → (AT / ML²T⁻³A⁻¹) = M⁻¹L⁻²T⁴A².
Q139. The dimensional formula of inductance is:
(a) [M L^2 T^-2 A^-2]
(b) [M L^2 T^-3 A^-2]
(c) [M L^2 T^-2]
(d) [M L T^-2]
✅ Correct Answer: (a) [M L^2 T^-2 A^-2]
Explanation: L = Φ/I → (ML²T⁻²A⁻¹ / A) = ML²T⁻²A⁻².
Q140. The dimensional formula of magnetic flux is:
(a) [M L^2 T^-2 A^-1]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^2 T^-2 A^-1]
Explanation: Φ = B·A → Tesla × m² = ML²T⁻²A⁻¹.
Q141. The dimensional formula of magnetic field (B) is:
(a) [M T^-2 A^-1]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M T^-2 A^-1]
Explanation: B = Force/(Charge × Velocity) → (MLT⁻² / AT⁻¹L) = MT⁻²A⁻¹.
Q142. The dimensional formula of energy is same as:
(a) Work
(b) Torque
(c) Pressure
(d) Power
✅ Correct Answer: (a) Work
Explanation: Both energy and work = ML²T⁻².
Q143. The dimensional formula of angular frequency is:
(a) [T^-1]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [T^-1]
Explanation: Angular frequency ω = 2π/T → T⁻¹.
Q144. The dimensional formula of acceleration due to gravity (g) is:
(a) [L T^-2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [L T^-2]
Explanation: g = acceleration → L/T².
Q145. The dimensional formula of pressure energy per unit volume is:
(a) [M L^-1 T^-2]
(b) [M L^2 T^-2]
(c) [M L T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^-1 T^-2]
Explanation: Pressure energy density has same dimensions as pressure.
Q146. The dimensional formula of entropy is:
(a) [M L^2 T^-2 K^-1]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^2 T^-2 K^-1]
Explanation: Entropy = Energy/Temperature → ML²T⁻²K⁻¹.
Q147. The dimensional formula of Stefan’s constant (σ) is:
(a) [M T^-3 K^-4]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M T^-3 K^-4]
Explanation: Stefan’s law: E = σT⁴. Energy flux has dimensions ML⁰T⁻³. Dividing by T⁴ → MT⁻³K⁻⁴.
Q148. The dimensional formula of Boltzmann constant (k) is:
(a) [M L^2 T^-2 K^-1]
(b) [M L T^-2]
(c) [M L^2 T^-3]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^2 T^-2 K^-1]
Explanation: k = R/Nₐ. Dimensions of energy per Kelvin → ML²T⁻²K⁻¹.
Q149. The dimensional formula of Planck’s constant (h) is:
(a) [M L^2 T^-1]
(b) [M L T^-1]
(c) [M L^2 T^-2]
(d) [M L T^-2]
✅ Correct Answer: (a) [M L^2 T^-1]
Explanation: h = Energy × Time → (ML²T⁻² × T) = ML²T⁻¹.
Q150. The dimensional formula of Avogadro’s number (Nₐ) is:
(a) Dimensionless
(b) [M^-1]
(c) [L^-1]
(d) [T^-1]
✅ Correct Answer: (a) Dimensionless
Explanation: Nₐ is the number of particles per mole, hence pure number → dimensionless.
Q151. The dimensional formula of energy is:
(a) [M L^2 T^-2]
(b) [M L T^-2]
(c) [M L T^-1]
(d) [M L^2 T^-1]
✅ Correct Answer: (a) [M L^2 T^-2]
Explanation: Energy = Work = Force × Distance → ML²T⁻².
Q152. The dimensional formula of power is:
(a) [M L^2 T^-3]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^2 T^-3]
Explanation: Power = Work/Time → ML²T⁻³.
Q153. The dimensional formula of pressure is:
(a) [M L^-1 T^-2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^-1 T^-2]
Explanation: Pressure = Force/Area → ML⁻¹T⁻².
Q154. The dimensional formula of momentum is:
(a) [M L T^-1]
(b) [M L^2 T^-2]
(c) [M L T^-2]
(d) [M L^-1 T^-2]
✅ Correct Answer: (a) [M L T^-1]
Explanation: Momentum = Mass × Velocity → ML/T.
Q155. The dimensional formula of torque is:
(a) [M L^2 T^-2]
(b) [M L T^-2]
(c) [M L^2 T^-1]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^2 T^-2]
Explanation: Torque = Force × Distance → ML²T⁻².
Q156. The dimensional formula of angular momentum is:
(a) [M L^2 T^-1]
(b) [M L T^-1]
(c) [M L^2 T^-2]
(d) [M L T^-2]
✅ Correct Answer: (a) [M L^2 T^-1]
Explanation: Angular momentum = r × p → ML²T⁻¹.
Q157. The dimensional formula of coefficient of viscosity is:
(a) [M L^-1 T^-1]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L^-2 T^-1]
✅ Correct Answer: (a) [M L^-1 T^-1]
Explanation: η = Stress/Strain rate → ML⁻¹T⁻¹.
Q158. The dimensional formula of surface tension is:
(a) [M T^-2]
(b) [M L^-1 T^-2]
(c) [M L T^-2]
(d) [M L^2 T^-2]
✅ Correct Answer: (b) [M L^-1 T^-2]
Explanation: Surface tension = Force/Length → ML⁻¹T⁻².
Q159. The dimensional formula of modulus of elasticity is same as:
(a) Pressure
(b) Energy
(c) Force
(d) Work
✅ Correct Answer: (a) Pressure
Explanation: Modulus of elasticity has same dimensions as Pressure → ML⁻¹T⁻².
Q160. The dimensional formula of gravitational potential is:
(a) [M^0 L^2 T^-2]
(b) [M L^2 T^-2]
(c) [M L T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M^0 L^2 T^-2]
Explanation: Potential energy per unit mass → L²T⁻².
Q161. The dimensional formula of electric potential is:
(a) [M L^2 T^-3 A^-1]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^2 T^-3 A^-1]
Explanation: V = Work/Charge → ML²T⁻³A⁻¹.
Q162. The dimensional formula of resistance is:
(a) [M L^2 T^-3 A^-2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^2 T^-3 A^-2]
Explanation: R = V/I → ML²T⁻³A⁻².
Q163. The dimensional formula of capacitance is:
(a) [M^-1 L^-2 T^4 A^2]
(b) [M L^2 T^-3 A^-2]
(c) [M L T^-2]
(d) [M L^2 T^-2]
✅ Correct Answer: (a) [M^-1 L^-2 T^4 A^2]
Explanation: C = Q/V → M⁻¹L⁻²T⁴A².
Q164. The dimensional formula of inductance is:
(a) [M L^2 T^-2 A^-2]
(b) [M L^2 T^-3 A^-2]
(c) [M L^2 T^-2]
(d) [M L T^-2]
✅ Correct Answer: (a) [M L^2 T^-2 A^-2]
Explanation: L = Φ/I → ML²T⁻²A⁻².
Q165. The dimensional formula of magnetic flux is:
(a) [M L^2 T^-2 A^-1]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^2 T^-2 A^-1]
Explanation: Φ = B·A → ML²T⁻²A⁻¹.
Q166. The dimensional formula of magnetic field (B) is:
(a) [M T^-2 A^-1]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M T^-2 A^-1]
Explanation: B = Force/(Charge × Velocity) → MT⁻²A⁻¹.
Q167. The dimensional formula of angular frequency is:
(a) [T^-1]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [T^-1]
Explanation: ω = 2π/T → T⁻¹.
Q168. The dimensional formula of acceleration due to gravity (g) is:
(a) [L T^-2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [L T^-2]
Explanation: g is acceleration → L/T².
Q169. The dimensional formula of entropy is:
(a) [M L^2 T^-2 K^-1]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^2 T^-2 K^-1]
Explanation: Entropy = Energy/Temperature → ML²T⁻²K⁻¹.
Q170. The dimensional formula of Stefan’s constant (σ) is:
(a) [M T^-3 K^-4]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M T^-3 K^-4]
Explanation: Stefan’s law: E = σT⁴. Dimensions → MT⁻³K⁻⁴.
Q171. The dimensional formula of Boltzmann constant (k) is:
(a) [M L^2 T^-2 K^-1]
(b) [M L T^-2]
(c) [M L^2 T^-3]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^2 T^-2 K^-1]
Explanation: k = Energy/Temperature → ML²T⁻²K⁻¹.
Q172. The dimensional formula of Planck’s constant (h) is:
(a) [M L^2 T^-1]
(b) [M L T^-1]
(c) [M L^2 T^-2]
(d) [M L T^-2]
✅ Correct Answer: (a) [M L^2 T^-1]
Explanation: h = Energy × Time → ML²T⁻¹.
Q173. The dimensional formula of universal gas constant (R) is:
(a) [M L^2 T^-2 K^-1 mol^-1]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L^2 T^-3]
✅ Correct Answer: (a) [M L^2 T^-2 K^-1 mol^-1]
Explanation: R = PV/nT. Dimensions of energy per mole per Kelvin → ML²T⁻²K⁻¹mol⁻¹.
Q174. The dimensional formula of specific heat capacity is:
(a) [M^0 L^2 T^-2 K^-1]
(b) [M L^2 T^-2 K^-1]
(c) [M L T^-2]
(d) [M L^2 T^-3]
✅ Correct Answer: (a) [M^0 L^2 T^-2 K^-1]
Explanation: Specific heat = Energy/(Mass × Temperature). Dimensions → ML²T⁻² / (M × K) = L²T⁻²K⁻¹.
Q175. The dimensional formula of latent heat is:
(a) [M^0 L^2 T^-2]
(b) [M L^2 T^-2]
(c) [M L T^-2]
(d) [M L^2 T^-3]
✅ Correct Answer: (a) [M^0 L^2 T^-2]
Explanation: Latent heat = Energy/Mass → ML²T⁻² / M = L²T⁻².
Q176. The dimensional formula of universal gravitational constant (G) is:
(a) [M^-1 L^3 T^-2]
(b) [M L^2 T^-2]
(c) [M L T^-2]
(d) [M^-2 L^3 T^-1]
✅ Correct Answer: (a) [M^-1 L^3 T^-2]
Explanation: From F = Gm₁m₂/r² → G = FL²/M² = M⁻¹L³T⁻².
Q177. The dimensional formula of acceleration is:
(a) [L T^-2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [L T^-2]
Explanation: Acceleration = velocity/time → L/T².
Q178. The dimensional formula of velocity is:
(a) [L T^-1]
(b) [M L T^-1]
(c) [M L^2 T^-2]
(d) [M L T^-2]
✅ Correct Answer: (a) [L T^-1]
Explanation: Velocity = displacement/time → L/T.
Q179. The dimensional formula of force is:
(a) [M L T^-2]
(b) [M L^2 T^-2]
(c) [M L T^-1]
(d) [M L^-1 T^-2]
✅ Correct Answer: (a) [M L T^-2]
Explanation: Force = mass × acceleration → M × L/T².
Q180. The dimensional formula of work is:
(a) [M L^2 T^-2]
(b) [M L T^-2]
(c) [M L T^-1]
(d) [M L^2 T^-1]
✅ Correct Answer: (a) [M L^2 T^-2]
Explanation: Work = Force × Distance → ML²T⁻².
Q181. The dimensional formula of energy density is:
(a) [M L^-1 T^-2]
(b) [M L^-2 T^-2]
(c) [M L^-1 T^-3]
(d) [M L^-2 T^-3]
✅ Correct Answer: (b) [M L^-2 T^-2]
Explanation: Energy density = Energy/Volume → ML²T⁻² / L³ = ML⁻¹T⁻².
Q182. The dimensional formula of pressure energy per unit volume is:
(a) [M L^-1 T^-2]
(b) [M L^2 T^-2]
(c) [M L T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^-1 T^-2]
Explanation: Pressure energy density has same dimensions as pressure.
Q183. The dimensional formula of angular velocity is:
(a) [T^-1]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [T^-1]
Explanation: Angular velocity ω = angle/time → T⁻¹.
Q184. The dimensional formula of angular acceleration is:
(a) [T^-2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [T^-2]
Explanation: Angular acceleration = angular velocity/time → T⁻².
Q185. The dimensional formula of frequency is:
(a) [T^-1]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [T^-1]
Explanation: Frequency = cycles per second → T⁻¹.
Q186. The dimensional formula of wavelength is:
(a) [L]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [L]
Explanation: Wavelength is a length → L.
Q187. The dimensional formula of refractive index is:
(a) Dimensionless
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) Dimensionless
Explanation: Refractive index = speed of light in vacuum/speed in medium → ratio.
Q188. The dimensional formula of strain is:
(a) Dimensionless
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) Dimensionless
Explanation: Strain = Δlength/original length → ratio.
Q189. The dimensional formula of stress is:
(a) [M L^-1 T^-2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^-1 T^-2]
Explanation: Stress = Force/Area → ML⁻¹T⁻².
Q190. The dimensional formula of Young’s modulus is:
(a) [M L^-1 T^-2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^-1 T^-2]
Explanation: Young’s modulus = Stress/Strain → ML⁻¹T⁻².
Q191. The dimensional formula of bulk modulus is:
(a) [M L^-1 T^-2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^-1 T^-2]
Explanation: Bulk modulus has same dimensions as pressure.
Q192. The dimensional formula of shear modulus is:
(a) [M L^-1 T^-2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^-1 T^-2]
Explanation: Shear modulus also has same dimensions as pressure.
Q193. The dimensional formula of energy flux is:
(a) [M T^-3]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M T^-3]
Explanation: Energy flux = Energy per unit area per unit time → ML²T⁻² / (L²T) = MT⁻³.
Q194. The dimensional formula of luminous intensity is:
(a) [J]
(b) [Candela]
(c) [M L^2 T^-2]
(d) Dimensionless
✅ Correct Answer: (b) Candela
Explanation: Luminous intensity is a base SI unit → cd.
Q195. The dimensional formula of electric field is:
(a) [M L T^-3 A^-1]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L T^-3 A^-1]
Explanation: E = Force/Charge → (MLT⁻² / AT) = MLT⁻³A⁻¹.
Q196. The dimensional formula of magnetic permeability is:
(a) [M L T^-2 A^-2]
(b) [M L^2 T^-2]
(c) [M L T^-1]
(d) [M L T^-2]
✅ Correct Answer: (a) [M L T^-2 A^-2]
Explanation: μ = B/H → (MT⁻²A⁻¹ / A/L) = MLT⁻²A⁻².
Q197. The dimensional formula of permittivity is:
(a) [M^-1 L^-3 T^4 A^2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M^-1 L^-3 T^4 A^2]
Explanation: ε = Q²/(F·L²) → M⁻¹L⁻³T⁴A².
Q198. The dimensional formula of conductivity is:
(a) [M^-1 L^-3 T^3 A^2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M^-1 L^-3 T^3 A^2]
Explanation: Conductivity = 1/Resistivity → M⁻¹L⁻³T³A².
Q199. The dimensional formula of resistivity is:
(a) [M L^3 T^-3 A^-2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^3 T^-3 A^-2]
Explanation: Resistivity ρ = R·A/L. Since R = ML²T⁻³A⁻², multiplying by L²/L gives ML³T⁻³A⁻².
Q200. The dimensional formula of conductivity is:
(a) [M^-1 L^-3 T^3 A^2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M^-1 L^-3 T^3 A^2]
Explanation: Conductivity = 1/Resistivity → reciprocal dimensions of resistivity = M⁻¹L⁻³T³A².
Q201. The dimensional formula of electric charge is:
(a) [A T]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [A T]
Explanation: Charge Q = Current × Time → A·T.
Q202. The dimensional formula of electric current density is:
(a) [A L^-2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [A L^-2]
Explanation: Current density J = Current/Area → A/L².
Q203. The dimensional formula of electric flux is:
(a) [M^-1 L^-3 T^4 A^2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M^-1 L^-3 T^4 A^2]
Explanation: Electric flux = E·A. Since E = MLT⁻³A⁻¹, multiplying by L² gives M⁻¹L⁻³T⁴A².
Q204. The dimensional formula of Coulomb’s constant (k) is:
(a) [M^-1 L^-3 T^4 A^2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M^-1 L^-3 T^4 A^2]
Explanation: k = 1/(4π ε₀). Dimensions same as permittivity inverse.
Q205. The dimensional formula of potential energy is:
(a) [M L^2 T^-2]
(b) [M L T^-2]
(c) [M L T^-1]
(d) [M L^2 T^-1]
✅ Correct Answer: (a) [M L^2 T^-2]
Explanation: Potential energy is a form of energy → ML²T⁻².
Q206. The dimensional formula of kinetic energy is:
(a) [M L^2 T^-2]
(b) [M L T^-2]
(c) [M L T^-1]
(d) [M L^2 T^-1]
✅ Correct Answer: (a) [M L^2 T^-2]
Explanation: KE = ½mv² → M(L/T)² = ML²T⁻².
Q207. The dimensional formula of linear momentum is:
(a) [M L T^-1]
(b) [M L^2 T^-2]
(c) [M L T^-2]
(d) [M L^-1 T^-2]
✅ Correct Answer: (a) [M L T^-1]
Explanation: Momentum = Mass × Velocity → ML/T.
Q208. The dimensional formula of angular momentum is:
(a) [M L^2 T^-1]
(b) [M L T^-1]
(c) [M L^2 T^-2]
(d) [M L T^-2]
✅ Correct Answer: (a) [M L^2 T^-1]
Explanation: Angular momentum = r × p → ML²T⁻¹.
Q209. The dimensional formula of impulse is:
(a) [M L T^-1]
(b) [M L^2 T^-2]
(c) [M L T^-2]
(d) [M L^-1 T^-2]
✅ Correct Answer: (a) [M L T^-1]
Explanation: Impulse = Force × Time = Momentum → ML/T.
Q210. The dimensional formula of work function is:
(a) [M L^2 T^-2]
(b) [M L T^-2]
(c) [M L T^-1]
(d) [M L^2 T^-1]
✅ Correct Answer: (a) [M L^2 T^-2]
Explanation: Work function is energy → ML²T⁻².
Q211. The dimensional formula of heat capacity is:
(a) [M L^2 T^-2 K^-1]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^2 T^-2 K^-1]
Explanation: Heat capacity = Energy/Temperature → ML²T⁻²K⁻¹.
Q212. The dimensional formula of specific heat capacity is:
(a) [M^0 L^2 T^-2 K^-1]
(b) [M L^2 T^-2 K^-1]
(c) [M L T^-2]
(d) [M L^2 T^-3]
✅ Correct Answer: (a) [M^0 L^2 T^-2 K^-1]
Explanation: Specific heat = Energy/(Mass × Temperature) → L²T⁻²K⁻¹.
Q213. The dimensional formula of latent heat is:
(a) [M^0 L^2 T^-2]
(b) [M L^2 T^-2]
(c) [M L T^-2]
(d) [M L^2 T^-3]
✅ Correct Answer: (a) [M^0 L^2 T^-2]
Explanation: Latent heat = Energy/Mass → L²T⁻².
Q214. The dimensional formula of thermal conductivity is:
(a) [M L T^-3 K^-1]
(b) [M L^2 T^-2]
(c) [M L T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L T^-3 K^-1]
Explanation: k = Q·d/(A·ΔT·Δt). Dimensions → MLT⁻³K⁻¹.
Q215. The dimensional formula of coefficient of thermal expansion is:
(a) [K^-1]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [K^-1]
Explanation: α = ΔL/(L·ΔT). Dimension → 1/Temperature.
Q216. The dimensional formula of Stefan’s constant (σ) is:
(a) [M T^-3 K^-4]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M T^-3 K^-4]
Explanation: Stefan’s law: E = σT⁴. Dimensions → MT⁻³K⁻⁴.
Q217. The dimensional formula of Boltzmann constant (k) is:
(a) [M L^2 T^-2 K^-1]
(b) [M L T^-2]
(c) [M L^2 T^-3]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^2 T^-2 K^-1]
Explanation: k = Energy/Temperature → ML²T⁻²K⁻¹.
Q218. The dimensional formula of Planck’s constant (h) is:
(a) [M L^2 T^-1]
(b) [M L T^-1]
(c) [M L^2 T^-2]
(d) [M L T^-2]
✅ Correct Answer: (a) [M L^2 T^-1]
Explanation: h = Energy × Time → ML²T⁻¹.
Q219. The dimensional formula of universal gas constant (R) is:
(a) [M L^2 T^-2 K^-1 mol^-1]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L^2 T^-3]
✅ Correct Answer: (a) [M L^2 T^-2 K^-1 mol^-1]
Explanation: R = PV/nT → ML²T⁻²K⁻¹mol⁻¹.
Q220. The dimensional formula of entropy is:
(a) [M L^2 T^-2 K^-1]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^2 T^-2 K^-1]
Explanation: Entropy = Energy/Temperature → ML²T⁻²K⁻¹.
Q221. The dimensional formula of luminous flux is:
(a) [Lumen]
(b) [Candela]
(c) [M L^2 T^-2]
(d) Dimensionless
✅ Correct Answer: (a) Lumen
Explanation: Luminous flux is measured in lumen (lm), derived SI unit.
Q222. The dimensional formula of luminous intensity is:
(a) [Candela]
(b) [Lumen]
(c) [M L^2 T^-2]
(d) Dimensionless
✅ Correct Answer: (a) Candela
Explanation: Luminous intensity is a base SI unit → cd.
Q223. The dimensional formula of illuminance is:
(a) [Lux]
(b) [Candela]
(c) [M L^2 T^-2]
(d) Dimensionless
✅ Correct Answer: (a) Lux
Explanation: Illuminance = Luminous flux per unit area. SI unit is lux (lm/m²).
Q224. The dimensional formula of luminous flux is:
(a) [Lumen]
(b) [Candela]
(c) [M L^2 T^-2]
(d) Dimensionless
✅ Correct Answer: (a) Lumen
Explanation: Luminous flux is measured in lumen (lm), derived SI unit.
Q225. The dimensional formula of luminous intensity is:
(a) [Candela]
(b) [Lumen]
(c) [M L^2 T^-2]
(d) Dimensionless
✅ Correct Answer: (a) Candela
Explanation: Luminous intensity is a base SI unit → cd.
Q226. The dimensional formula of electric field intensity is:
(a) [M L T^-3 A^-1]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L T^-3 A^-1]
Explanation: E = Force/Charge → (MLT⁻² / AT) = MLT⁻³A⁻¹.
Q227. The dimensional formula of magnetic induction (B) is:
(a) [M T^-2 A^-1]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M T^-2 A^-1]
Explanation: B = Force/(Charge × Velocity) → MT⁻²A⁻¹.
Q228. The dimensional formula of magnetic flux (Φ) is:
(a) [M L^2 T^-2 A^-1]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^2 T^-2 A^-1]
Explanation: Φ = B·A → Tesla × m² = ML²T⁻²A⁻¹.
Q229. The dimensional formula of inductance (L) is:
(a) [M L^2 T^-2 A^-2]
(b) [M L^2 T^-3 A^-2]
(c) [M L^2 T^-2]
(d) [M L T^-2]
✅ Correct Answer: (a) [M L^2 T^-2 A^-2]
Explanation: L = Φ/I → ML²T⁻²A⁻².
Q230. The dimensional formula of capacitance (C) is:
(a) [M^-1 L^-2 T^4 A^2]
(b) [M L^2 T^-3 A^-2]
(c) [M L T^-2]
(d) [M L^2 T^-2]
✅ Correct Answer: (a) [M^-1 L^-2 T^4 A^2]
Explanation: C = Q/V → M⁻¹L⁻²T⁴A².
Q231. The dimensional formula of resistance (R) is:
(a) [M L^2 T^-3 A^-2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^2 T^-3 A^-2]
Explanation: R = V/I → ML²T⁻³A⁻².
Q232. The dimensional formula of resistivity (ρ) is:
(a) [M L^3 T^-3 A^-2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^3 T^-3 A^-2]
Explanation: ρ = R·A/L → ML³T⁻³A⁻².
Q233. The dimensional formula of conductivity (σ) is:
(a) [M^-1 L^-3 T^3 A^2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M^-1 L^-3 T^3 A^2]
Explanation: Conductivity = 1/Resistivity → M⁻¹L⁻³T³A².
Q234. The dimensional formula of permittivity (ε) is:
(a) [M^-1 L^-3 T^4 A^2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M^-1 L^-3 T^4 A^2]
Explanation: ε = Q²/(F·L²) → M⁻¹L⁻³T⁴A².
Q235. The dimensional formula of permeability (μ) is:
(a) [M L T^-2 A^-2]
(b) [M L^2 T^-2]
(c) [M L T^-1]
(d) [M L T^-2]
✅ Correct Answer: (a) [M L T^-2 A^-2]
Explanation: μ = B/H → MT⁻²A⁻¹ / (A/L) = MLT⁻²A⁻².
Q236. The dimensional formula of electric potential (V) is:
(a) [M L^2 T^-3 A^-1]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^2 T^-3 A^-1]
Explanation: V = Work/Charge → ML²T⁻³A⁻¹.
Q237. The dimensional formula of electric field (E) is:
(a) [M L T^-3 A^-1]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L T^-3 A^-1]
Explanation: E = Force/Charge → MLT⁻³A⁻¹.
Q238. The dimensional formula of current density (J) is:
(a) [A L^-2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [A L^-2]
Explanation: J = Current/Area → A/L².
Q239. The dimensional formula of magnetic moment is:
(a) [A L^2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [A L^2]
Explanation: Magnetic moment = Current × Area → A·L².
Q240. The dimensional formula of electric dipole moment is:
(a) [A T L]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [A T L]
Explanation: Dipole moment = Charge × Distance → (AT × L).
Q241. The dimensional formula of pressure is:
(a) [M L^-1 T^-2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^-1 T^-2]
Explanation: Pressure = Force/Area → ML⁻¹T⁻².
Q242. The dimensional formula of stress is:
(a) [M L^-1 T^-2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^-1 T^-2]
Explanation: Stress = Force/Area → ML⁻¹T⁻².
Q243. The dimensional formula of strain is:
(a) Dimensionless
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) Dimensionless
Explanation: Strain = Δlength/original length → ratio.
Q244. The dimensional formula of Young’s modulus is:
(a) [M L^-1 T^-2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^-1 T^-2]
Explanation: Young’s modulus = Stress/Strain → ML⁻¹T⁻².
Q245. The dimensional formula of bulk modulus is:
(a) [M L^-1 T^-2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^-1 T^-2]
Explanation: Bulk modulus has same dimensions as pressure.
Q246. The dimensional formula of shear modulus is:
(a) [M L^-1 T^-2]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M L^-1 T^-2]
Explanation: Shear modulus also has same dimensions as pressure.
Q247. The dimensional formula of energy flux is:
(a) [M T^-3]
(b) [M L T^-2]
(c) [M L^2 T^-2]
(d) [M L T^-1]
✅ Correct Answer: (a) [M T^-3]
Explanation: Energy flux = Energy per unit area per unit time → ML²T⁻² / (L²T) = MT⁻³.
Q248. The dimensional formula of luminous flux is:
(a) [Lumen]
(b) [Candela]
(c) [M L^2 T^-2]
(d) Dimensionless
✅ Correct Answer: (a) Lumen
Explanation: Luminous flux is measured in lumen (lm), a derived SI unit.
Q249. The dimensional formula of illuminance is:
(a) [Lux]
(b) [Candela]
(c) [M L^2 T^-2]
(d) Dimensionless
✅ Correct Answer: (a) Lux
Explanation: Illuminance = Luminous flux per unit area. SI unit is lux (lm/m²).
Q250. The dimensional formula of luminous intensity is:
(a) [Candela]
(b) [Lumen]
(c) [M L^2 T^-2]
(d) Dimensionless
✅ Correct Answer: (a) Candela
Explanation: Luminous intensity is a base SI unit → cd.
Q251. Which of the following is NOT a base quantity in SI?
(a) Length
(b) Mass
(c) Time
(d) Velocity
✅ Correct Answer: (d) Velocity
Explanation: Velocity is derived (displacement/time), not fundamental.
Q252. Which of the following is a derived unit?
(a) Meter
(b) Kilogram
(c) Newton
(d) Second
✅ Correct Answer: (c) Newton
Explanation: Newton = kg·m/s², derived from base units.
Q253. Which of the following is a coherent unit?
(a) Erg
(b) Dyne
(c) Joule
(d) Calorie
✅ Correct Answer: (c) Joule
Explanation: Joule is coherent in SI, directly derived from base units.
Q254. Which of the following is NOT a coherent unit?
(a) Joule
(b) Newton
(c) Calorie
(d) Watt
✅ Correct Answer: (c) Calorie
Explanation: Calorie is not coherent in SI, it’s a non-SI unit.
Q255. Which of the following is a dimensionless quantity?
(a) Strain
(b) Refractive index
(c) Relative density
(d) All of the above
✅ Correct Answer: (d) All of the above
Explanation: These are ratios, hence dimensionless.
Q256. Which of the following is a scalar quantity?
(a) Force
(b) Velocity
(c) Work
(d) Acceleration
✅ Correct Answer: (c) Work
Explanation: Work has magnitude only, no direction.
Q257. Which of the following is a vector quantity?
(a) Speed
(b) Distance
(c) Displacement
(d) Energy
✅ Correct Answer: (c) Displacement
Explanation: Displacement has both magnitude and direction.
Q258. Which of the following is a fundamental quantity?
(a) Temperature
(b) Pressure
(c) Energy
(d) Work
✅ Correct Answer: (a) Temperature
Explanation: Temperature is a base SI quantity.
Q259. Which of the following is a derived quantity?
(a) Mass
(b) Length
(c) Density
(d) Time
✅ Correct Answer: (c) Density
Explanation: Density = Mass/Volume → derived.
Q260. Which of the following is NOT a physical quantity?
(a) Pressure
(b) Love
(c) Energy
(d) Mass
✅ Correct Answer: (b) Love
Explanation: Physical quantities must be measurable.
Q261. Which of the following is a coherent derived unit?
(a) Joule
(b) Erg
(c) Calorie
(d) Dyne
✅ Correct Answer: (a) Joule
Explanation: Joule is coherent in SI.
Q262. Which of the following is a non-coherent unit?
(a) Newton
(b) Joule
(c) Calorie
(d) Watt
✅ Correct Answer: (c) Calorie
Explanation: Calorie is non-SI.
Q263. Which of the following is a base unit in SI?
(a) Mole
(b) Erg
(c) Dyne
(d) Calorie
✅ Correct Answer: (a) Mole
Explanation: Mole is a base SI unit for amount of substance.
Q264. Which of the following is a derived SI unit?
(a) Coulomb
(b) Ampere
(c) Kelvin
(d) Mole
✅ Correct Answer: (a) Coulomb
Explanation: Coulomb = A·s, derived unit.
Q265. Which of the following is a coherent SI unit?
(a) Watt
(b) Erg
(c) Calorie
(d) Dyne
✅ Correct Answer: (a) Watt
Explanation: Watt = Joule/second, coherent in SI.
Q266. Which of the following is NOT a coherent SI unit?
(a) Joule
(b) Newton
(c) Erg
(d) Watt
✅ Correct Answer: (c) Erg
Explanation: Erg is CGS, not SI.
Q267. Which of the following is a fundamental quantity?
(a) Electric current
(b) Resistance
(c) Voltage
(d) Charge
✅ Correct Answer: (a) Electric current
Explanation: Electric current is a base SI quantity.
Q268. Which of the following is a derived quantity?
(a) Force
(b) Mass
(c) Length
(d) Time
✅ Correct Answer: (a) Force
Explanation: Force = mass × acceleration → derived.
Q269. Which of the following is a vector?
(a) Work
(b) Energy
(c) Force
(d) Temperature
✅ Correct Answer: (c) Force
Explanation: Force has both magnitude and direction.
Q270. Which of the following is a scalar?
(a) Velocity
(b) Force
(c) Speed
(d) Acceleration
✅ Correct Answer: (c) Speed
Explanation: Speed has magnitude only.
Q271. Which of the following is a fundamental quantity?
(a) Time
(b) Pressure
(c) Energy
(d) Work
✅ Correct Answer: (a) Time
Explanation: Time is a base SI quantity.
Q272. Which of the following is a derived quantity?
(a) Mass
(b) Length
(c) Area
(d) Temperature
✅ Correct Answer: (c) Area
Explanation: Area = Length × Length → derived.
Q273. Which of the following is a vector?
(a) Work
(b) Energy
(c) Displacement
(d) Pressure
✅ Correct Answer: (c) Displacement
Explanation: Displacement has direction.
Q274. Which of the following is a scalar?
(a) Force
(b) Velocity
(c) Distance
(d) Momentum
✅ Correct Answer: (c) Distance
Explanation: Distance has magnitude only.
Q275. Which of the following is a fundamental quantity?
(a) Mass
(b) Speed
(c) Force
(d) Energy
✅ Correct Answer: (a) Mass
Explanation: Mass is a base SI quantity.
Q276. Which of the following is a systematic error?
(a) Zero error in instrument
(b) Human reaction time
(c) Environmental fluctuation
(d) Random noise
✅ Correct Answer: (a) Zero error in instrument
Explanation: Systematic errors are consistent and repeatable, like zero error.
Q277. Which of the following is a random error?
(a) Wrong calibration
(b) Zero error
(c) Fluctuations in temperature
(d) Careless observation
✅ Correct Answer: (c) Fluctuations in temperature
Explanation: Random errors are unpredictable, caused by external disturbances.
Q278. Which of the following is a gross error?
(a) Misreading the scale
(b) Zero error
(c) Instrument defect
(d) Environmental fluctuation
✅ Correct Answer: (a) Misreading the scale
Explanation: Gross errors are due to human mistakes.
Q279. Which of the following reduces random error?
(a) Calibration
(b) Repeated measurements
(c) Avoiding zero error
(d) Guessing
✅ Correct Answer: (b) Repeated measurements
Explanation: Random errors average out when measurements are repeated.
Q280. Which of the following reduces systematic error?
(a) Calibration
(b) Repeated measurements
(c) Averaging
(d) Guessing
✅ Correct Answer: (a) Calibration
Explanation: Proper calibration removes systematic bias.
Q281. Which of the following is NOT a source of error?
(a) Instrument defect
(b) Observer’s bias
(c) Environmental conditions
(d) Correct calibration
✅ Correct Answer: (d) Correct calibration
Explanation: Proper calibration eliminates error, not causes it.
Q282. The accuracy of a stopwatch depends on:
(a) Least count
(b) Reaction time of observer
(c) Calibration
(d) All of the above
✅ Correct Answer: (d) All of the above
Explanation: Stopwatch accuracy depends on least count, calibration, and observer’s reaction time.
Q283. The maximum possible error in measurement is:
(a) ±(least count/2)
(b) ±(least count)
(c) ±(least count × 2)
(d) ±(least count/4)
✅ Correct Answer: (a) ±(least count/2)
Explanation: Maximum error is half the least count.
Q284. The percentage error formula is:
(a) (Error/True value) × 100
(b) (True value/Error) × 100
(c) (Measured value/Error) × 100
(d) (Error/Measured value) × 100
✅ Correct Answer: (a) (Error/True value) × 100
Explanation: Percentage error = (Difference between measured and true value / True value) × 100.
Q285. If a length is measured as 2.36 cm with least count 0.01 cm, the maximum possible error is:
(a) 0.01 cm
(b) 0.005 cm
(c) 0.1 cm
(d) 0.001 cm
✅ Correct Answer: (b) 0.005 cm
Explanation: Maximum error = ±(least count/2) = ±0.005 cm.
Q286. Which of the following is the most precise instrument?
(a) Ruler
(b) Vernier calipers
(c) Screw gauge
(d) Spherometer
✅ Correct Answer: (c) Screw gauge
Explanation: Screw gauge has least count of 0.01 mm, more precise than ruler or vernier.
Q287. Which of the following instruments is used to measure radius of curvature of a lens?
(a) Screw gauge
(b) Spherometer
(c) Vernier caliper
(d) Micrometer
✅ Correct Answer: (b) Spherometer
Explanation: Spherometer measures radius of curvature of spherical surfaces.
Q288. Which of the following instruments is used to measure diameter of a thin wire?
(a) Vernier caliper
(b) Screw gauge
(c) Spherometer
(d) Micrometer
✅ Correct Answer: (b) Screw gauge
Explanation: Screw gauge is ideal for measuring small diameters like wires.
Q289. Which of the following instruments is used to measure current?
(a) Voltmeter
(b) Ammeter
(c) Galvanometer
(d) Multimeter
✅ Correct Answer: (b) Ammeter
Explanation: Ammeter measures electric current directly.
Q290. Which of the following instruments is used to measure potential difference?
(a) Ammeter
(b) Voltmeter
(c) Galvanometer
(d) Multimeter
✅ Correct Answer: (b) Voltmeter
Explanation: Voltmeter measures voltage across two points in a circuit.
Q291. Which of the following instruments is used to measure resistance?
(a) Ammeter
(b) Voltmeter
(c) Ohmmeter
(d) Galvanometer
✅ Correct Answer: (c) Ohmmeter
Explanation: Ohmmeter directly measures resistance.
Q292. Which of the following instruments is used to measure frequency of AC signals?
(a) Oscilloscope
(b) Voltmeter
(c) Ammeter
(d) Galvanometer
✅ Correct Answer: (a) Oscilloscope
Explanation: Oscilloscope displays waveforms, allowing frequency measurement.
Q293. Which of the following instruments is used to measure atmospheric pressure?
(a) Manometer
(b) Barometer
(c) Hygrometer
(d) Thermometer
✅ Correct Answer: (b) Barometer
Explanation: Barometer measures atmospheric pressure.
Q294. Which of the following instruments is used to measure humidity?
(a) Hygrometer
(b) Barometer
(c) Thermometer
(d) Manometer
✅ Correct Answer: (a) Hygrometer
Explanation: Hygrometer measures moisture content in air.
Q295. Which of the following instruments is used to measure temperature?
(a) Thermometer
(b) Barometer
(c) Hygrometer
(d) Manometer
✅ Correct Answer: (a) Thermometer
Explanation: Thermometer measures temperature.
Q296. Which of the following instruments is used to measure sound intensity?
(a) Decibel meter
(b) Oscilloscope
(c) Microphone
(d) Hygrometer
✅ Correct Answer: (a) Decibel meter
Explanation: Sound intensity is measured in decibels using a sound level meter.
Q297. Which of the following instruments is used to measure refractive index?
(a) Spectrometer
(b) Microscope
(c) Telescope
(d) Spherometer
✅ Correct Answer: (a) Spectrometer
Explanation: Spectrometer can measure refractive index of materials.
Q298. Which of the following instruments is used to measure wavelength of light?
(a) Spectrometer
(b) Microscope
(c) Telescope
(d) Barometer
✅ Correct Answer: (a) Spectrometer
Explanation: Spectrometer is used in optical experiments to measure wavelength.
Q299. Which of the following instruments is used to measure electric power consumption?
(a) Wattmeter
(b) Voltmeter
(c) Ammeter
(d) Multimeter
✅ Correct Answer: (a) Wattmeter
Explanation: Wattmeter measures power in electrical circuits.
Q300. Which of the following instruments is used to measure magnetic field strength?
(a) Magnetometer
(b) Galvanometer
(c) Voltmeter
(d) Ammeter
✅ Correct Answer: (a) Magnetometer
Explanation: Magnetometer measures magnetic field intensity.
Q301. If 1 km = 1000 m, then 36 km/h in m/s is:
(a) 10 m/s
(b) 20 m/s
(c) 5 m/s
(d) 15 m/s
✅ Correct Answer: (a) 10 m/s
Explanation: 36 km/h = (36 × 1000)/(3600) = 10 m/s.
Q302. Convert 1 calorie into joules.
(a) 2.5 J
(b) 4.2 J
(c) 5 J
(d) 10 J
✅ Correct Answer: (b) 4.2 J
Explanation: 1 cal = 4.186 J ≈ 4.2 J.
Q303. Convert 1 electron volt (eV) into joules.
(a) 1.6 × 10^-19 J
(b) 3.2 × 10^-19 J
(c) 1.6 × 10^-18 J
(d) 3.2 × 10^-18 J
✅ Correct Answer: (a) 1.6 × 10^-19 J
Explanation: 1 eV = 1.6 × 10⁻¹⁹ J.
Q304. Convert 1 angstrom (Å) into meters.
(a) 10^-8 m
(b) 10^-9 m
(c) 10^-10 m
(d) 10^-11 m
✅ Correct Answer: (c) 10^-10 m
Explanation: 1 Å = 10⁻¹⁰ m.
Q305. Convert 1 bar into pascal.
(a) 10^5 Pa
(b) 10^6 Pa
(c) 10^4 Pa
(d) 10^3 Pa
✅ Correct Answer: (a) 10^5 Pa
Explanation: 1 bar = 10⁵ Pa.
Q306. Convert 1 atmosphere into pascal.
(a) 1.013 × 10^5 Pa
(b) 1 × 10^5 Pa
(c) 1.5 × 10^5 Pa
(d) 2 × 10^5 Pa
✅ Correct Answer: (a) 1.013 × 10^5 Pa
Explanation: 1 atm = 1.013 × 10⁵ Pa.
Q307. Convert 1 light year into meters.
(a) 9.46 × 10^15 m
(b) 3 × 10^8 m
(c) 1 × 10^12 m
(d) 9.46 × 10^12 m
✅ Correct Answer: (a) 9.46 × 10^15 m
Explanation: 1 light year = 9.46 × 10¹⁵ m.
Q308. Convert 1 parsec into meters.
(a) 3.08 × 10^16 m
(b) 9.46 × 10^15 m
(c) 1 × 10^12 m
(d) 3 × 10^8 m
✅ Correct Answer: (a) 3.08 × 10^16 m
Explanation: 1 parsec ≈ 3.08 × 10¹⁶ m.
Q309. Convert 1 nanometer into meters.
(a) 10^-6 m
(b) 10^-7 m
(c) 10^-8 m
(d) 10^-9 m
✅ Correct Answer: (d) 10^-9 m
Explanation: 1 nm = 10⁻⁹ m.
Q310. Convert 1 femtometer into meters.
(a) 10^-12 m
(b) 10^-13 m
(c) 10^-14 m
(d) 10^-15 m
✅ Correct Answer: (d) 10^-15 m
Explanation: 1 fm = 10⁻¹⁵ m.
Q311. Convert 1 micron into meters.
(a) 10^-3 m
(b) 10^-4 m
(c) 10^-5 m
(d) 10^-6 m
✅ Correct Answer: (d) 10^-6 m
Explanation: 1 micron = 10⁻⁶ m.
Q312. Convert 1 Tesla into Gauss.
(a) 10^4 Gauss
(b) 10^3 Gauss
(c) 10^2 Gauss
(d) 10^5 Gauss
✅ Correct Answer: (a) 10^4 Gauss
Explanation: 1 T = 10⁴ Gauss.
Q313. Convert 1 radian into degrees.
(a) 45°
(b) 57.3°
(c) 90°
(d) 180°
✅ Correct Answer: (b) 57.3°
Explanation: 1 rad = 180/π ≈ 57.3°.
Q314. Convert 1 degree into radians.
(a) π/90 rad
(b) π/180 rad
(c) π/360 rad
(d) π/45 rad
✅ Correct Answer: (b) π/180 rad
Explanation: 1° = π/180 rad.
Q315. Convert 1 horsepower into watts.
(a) 746 W
(b) 1000 W
(c) 500 W
(d) 800 W
✅ Correct Answer: (a) 746 W
Explanation: 1 hp = 746 W.
Q316. Convert 1 electron volt (eV) into erg.
(a) 1.6 × 10^-12 erg
(b) 1.6 × 10^-19 erg
(c) 1.6 × 10^-7 erg
(d) 1.6 × 10^-11 erg
✅ Correct Answer: (c) 1.6 × 10^-12 erg
Explanation: 1 eV = 1.6 × 10⁻¹² erg.
Q317. Convert 1 Joule into erg.
(a) 10^7 erg
(b) 10^6 erg
(c) 10^8 erg
(d) 10^9 erg
✅ Correct Answer: (a) 10^7 erg
Explanation: 1 J = 10⁷ erg.
Q318. Convert 1 Newton into dyne.
(a) 10^5 dyne
(b) 10^6 dyne
(c) 10^7 dyne
(d) 10^8 dyne
✅ Correct Answer: (b) 10^5 dyne
Explanation: 1 N = 10⁵ dyne.
Q319. Convert 1 Pascal into dyne/cm².
(a) 10 dyne/cm²
(b) 100 dyne/cm²
(c) 1000 dyne/cm²
(d) 1 dyne/cm²
✅ Correct Answer: (a) 10 dyne/cm²
Explanation: 1 Pa = 10 dyne/cm².
Q320. Convert 1 Joule into eV.
(a) 6.25 × 10^18 eV
(b) 1.6 × 10^19 eV
(c) 1 × 10^18 eV
(d) 3 × 10^19 eV
✅ Correct Answer: (a) 6.25 × 10^18 eV
Explanation: 1 J = 1/(1.6 × 10⁻¹⁹) ≈ 6.25 × 10¹⁸ eV.
Q321. Convert 1 Watt-hour into Joules.
(a) 3600 J
(b) 1000 J
(c) 746 J
(d) 5000 J
✅ Correct Answer: (a) 3600 J
Explanation: 1 Wh = 1 W × 3600 s = 3600 J.
Q322. Convert 1 kilowatt-hour (kWh) into Joules.
(a) 3.6 × 10^6 J
(b) 3.6 × 10^5 J
(c) 3.6 × 10^7 J
(d) 3.6 × 10^8 J
✅ Correct Answer: (a) 3.6 × 10^6 J
Explanation: 1 kWh = 1000 W × 3600 s = 3.6 × 10⁶ J.
Q323. Convert 1 mole of photons of wavelength 500 nm into energy.
(a) 239 kJ
(b) 200 kJ
(c) 300 kJ
(d) 150 kJ
✅ Correct Answer: (a) 239 kJ
Explanation: E = hc/λ × Avogadro’s number. For λ = 500 nm, ≈ 239 kJ/mol.
Q324. Convert 1 Tesla into Weber/m².
(a) 1 Wb/m²
(b) 10 Wb/m²
(c) 100 Wb/m²
(d) 0.1 Wb/m²
✅ Correct Answer: (a) 1 Wb/m²
Explanation: 1 Tesla = 1 Weber per square meter.
Q325. Convert 1 Coulomb into electron charges.
(a) 6.25 × 10^18 e
(b) 1.6 × 10^19 e
(c) 1 × 10^18 e
(d) 3 × 10^19 e
✅ Correct Answer: (a) 6.25 × 10^18 e
Explanation: 1 C = 1/(1.6 × 10⁻¹⁹) ≈ 6.25 × 10¹⁸ electrons.
Q326. Convert 1 Joule into kilocalories.
(a) 0.239 cal
(b) 0.000239 kcal
(c) 0.239 kcal
(d) 0.0239 kcal
✅ Correct Answer: (b) 0.000239 kcal
Explanation: 1 J = 0.239 cal = 0.000239 kcal.
Q327. Convert 1 Newton-meter into Joules.
(a) 1 J
(b) 10 J
(c) 100 J
(d) 0.1 J
✅ Correct Answer: (a) 1 J
Explanation: Work = Force × Distance. 1 N·m = 1 J.
Q328. Convert 1 Watt into Joules per second.
(a) 1 J/s
(b) 10 J/s
(c) 100 J/s
(d) 0.1 J/s
✅ Correct Answer: (a) 1 J/s
Explanation: Power = Energy/Time. 1 W = 1 J/s.
Q329. Convert 1 Tesla into Newton per Ampere-meter.
(a) 1 N/(A·m)
(b) 10 N/(A·m)
(c) 100 N/(A·m)
(d) 0.1 N/(A·m)
✅ Correct Answer: (a) 1 N/(A·m)
Explanation: B = F/(I·L). 1 Tesla = 1 N/(A·m).
Q330. Convert 1 Henry into Weber per Ampere.
(a) 1 Wb/A
(b) 10 Wb/A
(c) 100 Wb/A
(d) 0.1 Wb/A
✅ Correct Answer: (a) 1 Wb/A
Explanation: Inductance L = Φ/I. 1 H = 1 Wb/A.
Q331. Convert 1 Farad into Coulomb per Volt.
(a) 1 C/V
(b) 10 C/V
(c) 100 C/V
(d) 0.1 C/V
✅ Correct Answer: (a) 1 C/V
Explanation: Capacitance C = Q/V. 1 F = 1 C/V.
Q332. Convert 1 Ohm into Volt per Ampere.
(a) 1 V/A
(b) 10 V/A
(c) 100 V/A
(d) 0.1 V/A
✅ Correct Answer: (a) 1 V/A
Explanation: Resistance R = V/I. 1 Ω = 1 V/A.
Q333. Convert 1 Siemens into Ampere per Volt.
(a) 1 A/V
(b) 10 A/V
(c) 100 A/V
(d) 0.1 A/V
✅ Correct Answer: (a) 1 A/V
Explanation: Conductance G = 1/R = I/V. 1 S = 1 A/V.
Q334. Convert 1 Weber into Tesla·m².
(a) 1 T·m²
(b) 10 T·m²
(c) 100 T·m²
(d) 0.1 T·m²
✅ Correct Answer: (a) 1 T·m²
Explanation: Magnetic flux Φ = B·A. 1 Wb = 1 T·m².
Q335. Convert 1 Joule into Newton-meter.
(a) 1 N·m
(b) 10 N·m
(c) 100 N·m
(d) 0.1 N·m
✅ Correct Answer: (a) 1 N·m
Explanation: Work = Force × Distance. 1 J = 1 N·m.
Q336. Convert 1 Pascal into Newton per square meter.
(a) 1 N/m²
(b) 10 N/m²
(c) 100 N/m²
(d) 0.1 N/m²
✅ Correct Answer: (a) 1 N/m²
Explanation: Pressure = Force/Area. 1 Pa = 1 N/m².
Q337. Convert 1 Joule into Watt-second.
(a) 1 Ws
(b) 10 Ws
(c) 100 Ws
(d) 0.1 Ws
✅ Correct Answer: (a) 1 Ws
Explanation: Energy = Power × Time. 1 J = 1 W·s.
Q338. Convert 1 Newton into kg·m/s².
(a) 1 kg·m/s²
(b) 10 kg·m/s²
(c) 100 kg·m/s²
(d) 0.1 kg·m/s²
✅ Correct Answer: (a) 1 kg·m/s²
Explanation: Force = mass × acceleration. 1 N = 1 kg·m/s².
Q339. Convert 1 Joule into kg·m²/s².
(a) 1 kg·m²/s²
(b) 10 kg·m²/s²
(c) 100 kg·m²/s²
(d) 0.1 kg·m²/s²
✅ Correct Answer: (a) 1 kg·m²/s²
Explanation: Energy = Work = Force × Distance. 1 J = 1 kg·m²/s².
Q340. Convert 1 Watt into kg·m²/s³.
(a) 1 kg·m²/s³
(b) 10 kg·m²/s³
(c) 100 kg·m²/s³
(d) 0.1 kg·m²/s³
✅ Correct Answer: (a) 1 kg·m²/s³
Explanation: Power = Energy/Time. 1 W = 1 kg·m²/s³.
Q341. Convert 1 Newton into dynes.
(a) 10^4 dynes
(b) 10^5 dynes
(c) 10^6 dynes
(d) 10^7 dynes
✅ Correct Answer: (b) 10^5 dynes
Explanation: 1 N = 10⁵ dynes.
Q342. Convert 1 Joule into ergs.
(a) 10^6 ergs
(b) 10^7 ergs
(c) 10^8 ergs
(d) 10^9 ergs
✅ Correct Answer: (b) 10^7 ergs
Explanation: 1 J = 10⁷ ergs.
Q343. Convert 1 Watt-hour into Joules.
(a) 1000 J
(b) 3600 J
(c) 746 J
(d) 5000 J
✅ Correct Answer: (b) 3600 J
Explanation: 1 Wh = 1 W × 3600 s = 3600 J.
Q344. Convert 1 kilowatt-hour (kWh) into Joules.
(a) 3.6 × 10^5 J
(b) 3.6 × 10^6 J
(c) 3.6 × 10^7 J
(d) 3.6 × 10^8 J
✅ Correct Answer: (b) 3.6 × 10^6 J
Explanation: 1 kWh = 1000 W × 3600 s = 3.6 × 10⁶ J.
Q345. Convert 1 electron volt (eV) into Joules.
(a) 1.6 × 10^-18 J
(b) 1.6 × 10^-19 J
(c) 1.6 × 10^-20 J
(d) 1.6 × 10^-21 J
✅ Correct Answer: (b) 1.6 × 10^-19 J
Explanation: 1 eV = 1.6 × 10⁻¹⁹ J.
Q346. Convert 1 light year into meters.
(a) 9.46 × 10^15 m
(b) 3 × 10^8 m
(c) 1 × 10^12 m
(d) 9.46 × 10^12 m
✅ Correct Answer: (a) 9.46 × 10^15 m
Explanation: 1 light year = 9.46 × 10¹⁵ m.
Q347. Convert 1 parsec into meters.
(a) 3.08 × 10^16 m
(b) 9.46 × 10^15 m
(c) 1 × 10^12 m
(d) 3 × 10^8 m
✅ Correct Answer: (a) 3.08 × 10^16 m
Explanation: 1 parsec ≈ 3.08 × 10¹⁶ m.
Q348. Convert 1 angstrom (Å) into meters.
(a) 10^-8 m
(b) 10^-9 m
(c) 10^-10 m
(d) 10^-11 m
✅ Correct Answer: (c) 10^-10 m
Explanation: 1 Å = 10⁻¹⁰ m.
Q349. Convert 1 nanometer into meters.
(a) 10^-6 m
(b) 10^-7 m
(c) 10^-8 m
(d) 10^-9 m
✅ Correct Answer: (d) 10^-9 m
Explanation: 1 nm = 10⁻⁹ m.
Q350. Convert 1 micron into meters.
(a) 10^-3 m
(b) 10^-4 m
(c) 10^-5 m
(d) 10^-6 m
✅ Correct Answer: (d) 10^-6 m
Explanation: 1 micron = 10⁻⁶ m.
Q351. Convert 1 femtometer into meters.
(a) 10^-12 m
(b) 10^-13 m
(c) 10^-14 m
(d) 10^-15 m
✅ Correct Answer: (d) 10^-15 m
Explanation: 1 fm = 10⁻¹⁵ m.
Q352. Convert 1 Tesla into Gauss.
(a) 10^2 Gauss
(b) 10^3 Gauss
(c) 10^4 Gauss
(d) 10^5 Gauss
✅ Correct Answer: (c) 10^4 Gauss
Explanation: 1 T = 10⁴ Gauss.
Q353. Convert 1 radian into degrees.
(a) 45°
(b) 57.3°
(c) 90°
(d) 180°
✅ Correct Answer: (b) 57.3°
Explanation: 1 rad = 180/π ≈ 57.3°.
Q354. Convert 1 degree into radians.
(a) π/90 rad
(b) π/180 rad
(c) π/360 rad
(d) π/45 rad
✅ Correct Answer: (b) π/180 rad
Explanation: 1° = π/180 rad.
Q355. Convert 1 horsepower into watts.
(a) 500 W
(b) 746 W
(c) 1000 W
(d) 800 W
✅ Correct Answer: (b) 746 W
Explanation: 1 hp = 746 W.
Q356. Convert 1 Joule into electron volts.
(a) 6.25 × 10^18 eV
(b) 1.6 × 10^19 eV
(c) 1 × 10^18 eV
(d) 3 × 10^19 eV
✅ Correct Answer: (a) 6.25 × 10^18 eV
Explanation: 1 J = 1/(1.6 × 10⁻¹⁹) ≈ 6.25 × 10¹⁸ eV.
Q357. Convert 1 mole of photons of wavelength 500 nm into energy.
(a) 239 kJ
(b) 200 kJ
(c) 300 kJ
(d) 150 kJ
✅ Correct Answer: (a) 239 kJ
Explanation: E = hc/λ × Avogadro’s number. For λ = 500 nm, ≈ 239 kJ/mol.
Q358. Convert 1 Weber into Tesla·m².
(a) 1 T·m²
(b) 10 T·m²
(c) 100 T·m²
(d) 0.1 T·m²
✅ Correct Answer: (a) 1 T·m²
Explanation: Magnetic flux Φ = B·A. 1 Wb = 1 T·m².
Q359. Convert 1 Henry into Weber per Ampere.
(a) 1 Wb/A
(b) 10 Wb/A
(c) 100 Wb/A
(d) 0.1 Wb/A
✅ Correct Answer: (a) 1 Wb/A
Explanation: Inductance L = Φ/I. 1 H = 1 Wb/A.
Q360. Convert 1 Farad into Coulomb per Volt.
(a) 1 C/V
(b) 10 C/V
(c) 100 C/V
(d) 0.1 C/V
✅ Correct Answer: (a) 1 C/V
Explanation: Capacitance C = Q/V. 1 F = 1 C/V.
Q361. If a length is measured as 25.6 cm with least count 0.1 cm, the maximum possible error is:
(a) 0.05 cm
(b) 0.1 cm
(c) 0.5 cm
(d) 1 cm
✅ Correct Answer: (a) 0.05 cm
Explanation: Maximum error = ±(least count/2) = ±0.05 cm.
Q362. If a quantity is measured as 20 ± 0.5 cm, the relative error is:
(a) 0.025
(b) 0.05
(c) 0.1
(d) 0.5
✅ Correct Answer: (a) 0.025
Explanation: Relative error = (Error/Measured value) = 0.5/20 = 0.025.
Q363. If a quantity is measured as 50 ± 2 g, the percentage error is:
(a) 2%
(b) 4%
(c) 5%
(d) 10%
✅ Correct Answer: (b) 4%
Explanation: Percentage error = (Error/Measured value) × 100 = (2/50) × 100 = 4%.
Q364. If two quantities A = 10 ± 0.2 and B = 20 ± 0.5, then error in (A + B) is:
(a) 0.7
(b) 0.5
(c) 0.2
(d) 1
✅ Correct Answer: (a) 0.7
Explanation: Errors add in addition → 0.2 + 0.5 = 0.7.
Q365. If two quantities A = 10 ± 0.2 and B = 20 ± 0.5, then error in (A – B) is:
(a) 0.7
(b) 0.5
(c) 0.2
(d) 1
✅ Correct Answer: (a) 0.7
Explanation: Errors also add in subtraction → 0.2 + 0.5 = 0.7.
Q366. If A = 10 ± 0.2 and B = 20 ± 0.5, then relative error in (A × B) is:
(a) 0.07
(b) 0.05
(c) 0.025
(d) 0.1
✅ Correct Answer: (a) 0.07
Explanation: Relative error = (ΔA/A + ΔB/B) = (0.2/10 + 0.5/20) = 0.02 + 0.025 = 0.045 ≈ 0.07.
Q367. If A = 10 ± 0.2 and B = 20 ± 0.5, then relative error in (A/B) is:
(a) 0.07
(b) 0.05
(c) 0.025
(d) 0.1
✅ Correct Answer: (a) 0.07
Explanation: Relative error in division = (ΔA/A + ΔB/B) = 0.045 ≈ 0.07.
Q368. If a physical quantity is measured as 100 ± 2 units, the relative error is:
(a) 0.02
(b) 0.002
(c) 0.2
(d) 0.1
✅ Correct Answer: (a) 0.02
Explanation: Relative error = 2/100 = 0.02.
Q369. If a physical quantity is measured as 200 ± 5 units, the percentage error is:
(a) 2.5%
(b) 5%
(c) 1%
(d) 0.5%
✅ Correct Answer: (a) 2.5%
Explanation: Percentage error = (5/200) × 100 = 2.5%.
Q370. If a sphere’s radius is measured with 2% error, the error in its volume is:
(a) 2%
(b) 4%
(c) 6%
(d) 8%
✅ Correct Answer: (c) 6%
Explanation: Volume ∝ r³ → error multiplies by 3 → 3 × 2% = 6%.
Q371. If a wire’s radius is measured with 1% error, the error in its resistance is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (d) 4%
Explanation: R ∝ 1/r² → error doubles → 2 × 1% = 2%. But since length also contributes, total error = 4%.
Q372. If a pendulum’s length is measured with 2% error, the error in its time period is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (a) 1%
Explanation: T ∝ √L → error halves → ½ × 2% = 1%.
Q373. If a velocity is measured with 5% error and time with 2% error, the error in distance is:
(a) 7%
(b) 3%
(c) 10%
(d) 5%
✅ Correct Answer: (a) 7%
Explanation: Distance = velocity × time → errors add → 5% + 2% = 7%.
Q374. If acceleration is measured with 4% error and mass with 2% error, the error in force is:
(a) 6%
(b) 2%
(c) 4%
(d) 8%
✅ Correct Answer: (a) 6%
Explanation: F = ma → errors add → 4% + 2% = 6%.
Q375. If current is measured with 3% error and resistance with 2% error, the error in voltage is:
(a) 5%
(b) 2%
(c) 3%
(d) 6%
✅ Correct Answer: (a) 5%
Explanation: V = IR → errors add → 3% + 2% = 5%.
Q376. If charge is measured with 2% error and time with 1% error, the error in current is:
(a) 3%
(b) 2%
(c) 1%
(d) 4%
✅ Correct Answer: (a) 3%
Explanation: I = Q/t → errors add → 2% + 1% = 3%.
Q377. If wavelength is measured with 2% error and frequency with 1% error, the error in velocity is:
(a) 3%
(b) 2%
(c) 1%
(d) 4%
✅ Correct Answer: (a) 3%
Explanation: v = λν → errors add → 2% + 1% = 3%.
Q378. If radius is measured with 1% error, the error in area is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (b) 2%
Explanation: A ∝ r² → error doubles → 2 × 1% = 2%.
Q379. If radius is measured with 1% error, the error in circumference is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (a) 1%
Explanation: C ∝ r → error remains same → 1%.
Q380. If radius is measured with 1% error, the error in surface area of sphere is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (b) 2%
Explanation: A ∝ r² → error doubles → 2 × 1% = 2%.
Q381. If radius is measured with 1% error, the error in volume of sphere is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (c) 3%
Explanation: V ∝ r³ → error triples → 3 × 1% = 3%.
Q382. If length is measured with 2% error and breadth with 3% error, the error in area is:
(a) 5%
(b) 6%
(c) 4%
(d) 2%
✅ Correct Answer: (a) 5%
Explanation: A = L × B → errors add → 2% + 3% = 5%.
Q383. If length is measured with 2% error, breadth with 3% error, and height with 4% error, the error in volume is:
(a) 9%
(b) 8%
(c) 7%
(d) 6%
✅ Correct Answer: (a) 9%
Explanation: V = L × B × H → errors add → 2% + 3% + 4% = 9%.
Q384. If velocity is measured with 2% error and time with 3% error, the error in displacement is:
(a) 5%
(b) 4%
(c) 3%
(d) 2%
✅ Correct Answer: (a) 5%
Explanation: Displacement = velocity × time → errors add → 2% + 3% = 5%.
Q385. If force is measured with 2% error and distance with 1% error, the error in work is:
(a) 3%
(b) 2%
(c) 1%
(d) 4%
✅ Correct Answer: (a) 3%
Explanation: Work = Force × Distance → errors add → 2% + 1% = 3%.
Q386. If mass is measured with 1% error and velocity with 2% error, the error in kinetic energy is:
(a) 5%
(b) 4%
(c) 3%
(d) 2%
✅ Correct Answer: (a) 5%
Explanation: KE ∝ mv² → error = Δm/m + 2Δv/v = 1% + 4% = 5%.
Q387. If radius is measured with 2% error, the error in area of circle is:
(a) 2%
(b) 4%
(c) 6%
(d) 8%
✅ Correct Answer: (b) 4%
Explanation: A ∝ r² → error doubles → 2 × 2% = 4%.
Q388. If radius is measured with 2% error, the error in volume of sphere is:
(a) 2%
(b) 4%
(c) 6%
(d) 8%
✅ Correct Answer: (c) 6%
Explanation: V ∝ r³ → error triples → 3 × 2% = 6%.
Q389. If length is measured with 1% error and breadth with 2% error, the error in area is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (c) 3%
Explanation: A = L × B → errors add → 1% + 2% = 3%.
Q390. If length, breadth, and height are measured with 1%, 2%, and 3% errors respectively, the error in volume is:
(a) 6%
(b) 5%
(c) 4%
(d) 3%
✅ Correct Answer: (a) 6%
Explanation: V = L × B × H → errors add → 1% + 2% + 3% = 6%.
Q391. If current is measured with 2% error and resistance with 3% error, the error in power is:
(a) 5%
(b) 6%
(c) 7%
(d) 8%
✅ Correct Answer: (c) 7%
Explanation: P = I²R → error = 2×2% + 3% = 7%.
Q392. If mass is measured with 2% error and acceleration with 3% error, the error in force is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: F = ma → errors add → 2% + 3% = 5%.
Q393. If wavelength is measured with 1% error and frequency with 2% error, the error in velocity is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (c) 3%
Explanation: v = λν → errors add → 1% + 2% = 3%.
Q394. If radius is measured with 1% error, the error in surface area of sphere is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (b) 2%
Explanation: A ∝ r² → error doubles → 2 × 1% = 2%.
Q395. If radius is measured with 1% error, the error in volume of sphere is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (c) 3%
Explanation: V ∝ r³ → error triples → 3 × 1% = 3%.
Q396. If velocity is measured with 2% error and time with 2% error, the error in displacement is:
(a) 2%
(b) 3%
(c) 4%
(d) 5%
✅ Correct Answer: (c) 4%
Explanation: s = v × t → errors add → 2% + 2% = 4%.
Q397. If force is measured with 3% error and distance with 2% error, the error in work is:
(a) 3%
(b) 4%
(c) 5%
(d) 6%
✅ Correct Answer: (c) 5%
Explanation: W = F × d → errors add → 3% + 2% = 5%.
Q398. If mass is measured with 2% error and velocity with 3% error, the error in momentum is:
(a) 5%
(b) 6%
(c) 7%
(d) 8%
✅ Correct Answer: (b) 5%
Explanation: p = mv → errors add → 2% + 3% = 5%.
Q399. If mass is measured with 2% error and velocity with 3% error, the error in kinetic energy is:
(a) 7%
(b) 8%
(c) 9%
(d) 10%
✅ Correct Answer: (a) 8%
Explanation: KE ∝ mv² → error = Δm/m + 2Δv/v = 2% + 6% = 8%.
Q400. If length is measured with 1% error, breadth with 2% error, and height with 3% error, the error in volume is:
(a) 5%
(b) 6%
(c) 7%
(d) 8%
✅ Correct Answer: (b) 6%
Explanation: V = L × B × H → errors add → 1% + 2% + 3% = 6%.
Q401. If current is measured with 2% error and voltage with 3% error, the error in resistance is:
(a) 5%
(b) 4%
(c) 3%
(d) 2%
✅ Correct Answer: (a) 5%
Explanation: R = V/I → errors add → 2% + 3% = 5%.
Q402. If charge is measured with 2% error and time with 1% error, the error in current is:
(a) 3%
(b) 2%
(c) 1%
(d) 4%
✅ Correct Answer: (a) 3%
Explanation: I = Q/t → errors add → 2% + 1% = 3%.
Q403. If mass is measured with 2% error and velocity with 1% error, the error in momentum is:
(a) 2%
(b) 3%
(c) 4%
(d) 5%
✅ Correct Answer: (b) 3%
Explanation: p = mv → errors add → 2% + 1% = 3%.
Q404. If mass is measured with 2% error and velocity with 1% error, the error in kinetic energy is:
(a) 3%
(b) 4%
(c) 5%
(d) 6%
✅ Correct Answer: (b) 4%
Explanation: KE ∝ mv² → error = Δm/m + 2Δv/v = 2% + 2% = 4%.
Q405. If length is measured with 1% error and time with 2% error, the error in velocity is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (c) 3%
Explanation: v = L/t → errors add → 1% + 2% = 3%.
Q406. If force is measured with 3% error and distance with 2% error, the error in work is:
(a) 3%
(b) 4%
(c) 5%
(d) 6%
✅ Correct Answer: (c) 5%
Explanation: W = F × d → errors add → 3% + 2% = 5%.
Q407. If current is measured with 2% error and resistance with 3% error, the error in power is:
(a) 5%
(b) 6%
(c) 7%
(d) 8%
✅ Correct Answer: (c) 7%
Explanation: P = I²R → error = 2×2% + 3% = 7%.
Q408. If radius is measured with 2% error, the error in surface area of sphere is:
(a) 2%
(b) 4%
(c) 6%
(d) 8%
✅ Correct Answer: (b) 4%
Explanation: A ∝ r² → error doubles → 2 × 2% = 4%.
Q409. If radius is measured with 2% error, the error in volume of sphere is:
(a) 2%
(b) 4%
(c) 6%
(d) 8%
✅ Correct Answer: (c) 6%
Explanation: V ∝ r³ → error triples → 3 × 2% = 6%.
Q410. If length is measured with 1% error, breadth with 2% error, and height with 3% error, the error in volume is:
(a) 5%
(b) 6%
(c) 7%
(d) 8%
✅ Correct Answer: (b) 6%
Explanation: V = L × B × H → errors add → 1% + 2% + 3% = 6%.
Q411. If velocity is measured with 2% error and time with 3% error, the error in displacement is:
(a) 5%
(b) 4%
(c) 3%
(d) 2%
✅ Correct Answer: (a) 5%
Explanation: s = v × t → errors add → 2% + 3% = 5%.
Q412. If acceleration is measured with 2% error and time with 3% error, the error in velocity is:
(a) 5%
(b) 4%
(c) 3%
(d) 2%
✅ Correct Answer: (a) 5%
Explanation: v = a × t → errors add → 2% + 3% = 5%.
Q413. If force is measured with 2% error and velocity with 3% error, the error in power is:
(a) 5%
(b) 6%
(c) 7%
(d) 8%
✅ Correct Answer: (a) 5%
Explanation: P = F × v → errors add → 2% + 3% = 5%.
Q414. If current is measured with 2% error and voltage with 3% error, the error in electrical power is:
(a) 5%
(b) 6%
(c) 7%
(d) 8%
✅ Correct Answer: (a) 5%
Explanation: P = V × I → errors add → 2% + 3% = 5%.
Q415. If wavelength is measured with 1% error and frequency with 2% error, the error in velocity is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (c) 3%
Explanation: v = λν → errors add → 1% + 2% = 3%.
Q416. If mass is measured with 2% error and acceleration with 3% error, the error in force is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: F = ma → errors add → 2% + 3% = 5%.
Q417. If radius is measured with 1% error, the error in circumference is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (a) 1%
Explanation: C ∝ r → error remains same → 1%.
Q418. If radius is measured with 1% error, the error in area of circle is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (b) 2%
Explanation: A ∝ r² → error doubles → 2 × 1% = 2%.
Q419. If radius is measured with 1% error, the error in volume of sphere is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (c) 3%
Explanation: V ∝ r³ → error triples → 3 × 1% = 3%.
Q420. If length is measured with 2% error and breadth with 3% error, the error in area is:
(a) 5%
(b) 6%
(c) 4%
(d) 2%
✅ Correct Answer: (a) 5%
Explanation: A = L × B → errors add → 2% + 3% = 5%.
Q421. If length is measured with 2% error, breadth with 3% error, and height with 4% error, the error in volume is:
(a) 9%
(b) 8%
(c) 7%
(d) 6%
✅ Correct Answer: (a) 9%
Explanation: V = L × B × H → errors add → 2% + 3% + 4% = 9%.
Q422. If velocity is measured with 2% error and time with 2% error, the error in displacement is:
(a) 2%
(b) 3%
(c) 4%
(d) 5%
✅ Correct Answer: (c) 4%
Explanation: s = v × t → errors add → 2% + 2% = 4%.
Q423. If force is measured with 3% error and distance with 2% error, the error in work is:
(a) 3%
(b) 4%
(c) 5%
(d) 6%
✅ Correct Answer: (c) 5%
Explanation: W = F × d → errors add → 3% + 2% = 5%.
Q424. If current is measured with 2% error and resistance with 3% error, the error in voltage is:
(a) 5%
(b) 6%
(c) 7%
(d) 8%
✅ Correct Answer: (a) 5%
Explanation: V = IR → errors add → 2% + 3% = 5%.
Q425. If charge is measured with 2% error and time with 3% error, the error in current is:
(a) 5%
(b) 4%
(c) 3%
(d) 2%
✅ Correct Answer: (a) 5%
Explanation: I = Q/t → errors add → 2% + 3% = 5%.
Q426. If mass is measured with 2% error and velocity with 3% error, the error in momentum is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: p = mv → errors add → 2% + 3% = 5%.
Q427. If mass is measured with 2% error and velocity with 3% error, the error in kinetic energy is:
(a) 7%
(b) 8%
(c) 9%
(d) 10%
✅ Correct Answer: (b) 8%
Explanation: KE ∝ mv² → error = Δm/m + 2Δv/v = 2% + 6% = 8%.
Q428. If radius is measured with 1% error, the error in circumference is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (a) 1%
Explanation: C ∝ r → error remains same → 1%.
Q429. If radius is measured with 1% error, the error in area of circle is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (b) 2%
Explanation: A ∝ r² → error doubles → 2 × 1% = 2%.
Q430. If radius is measured with 1% error, the error in volume of sphere is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (c) 3%
Explanation: V ∝ r³ → error triples → 3 × 1% = 3%.
Q431. If length is measured with 2% error and breadth with 3% error, the error in area is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: A = L × B → errors add → 2% + 3% = 5%.
Q432. If length is measured with 2% error, breadth with 3% error, and height with 4% error, the error in volume is:
(a) 7%
(b) 8%
(c) 9%
(d) 10%
✅ Correct Answer: (c) 9%
Explanation: V = L × B × H → errors add → 2% + 3% + 4% = 9%.
Q433. If velocity is measured with 2% error and time with 2% error, the error in displacement is:
(a) 2%
(b) 3%
(c) 4%
(d) 5%
✅ Correct Answer: (c) 4%
Explanation: s = v × t → errors add → 2% + 2% = 4%.
Q434. If acceleration is measured with 2% error and time with 3% error, the error in velocity is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: v = a × t → errors add → 2% + 3% = 5%.
Q435. If force is measured with 2% error and velocity with 3% error, the error in power is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: P = F × v → errors add → 2% + 3% = 5%.
Q436. If current is measured with 2% error and voltage with 3% error, the error in electrical power is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: P = V × I → errors add → 2% + 3% = 5%.
Q437. If wavelength is measured with 1% error and frequency with 2% error, the error in velocity is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (c) 3%
Explanation: v = λν → errors add → 1% + 2% = 3%.
Q438. If mass is measured with 2% error and acceleration with 3% error, the error in force is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: F = ma → errors add → 2% + 3% = 5%.
Q439. If radius is measured with 2% error, the error in surface area of sphere is:
(a) 2%
(b) 4%
(c) 6%
(d) 8%
✅ Correct Answer: (b) 4%
Explanation: A ∝ r² → error doubles → 2 × 2% = 4%.
Q440. If radius is measured with 2% error, the error in volume of sphere is:
(a) 2%
(b) 4%
(c) 6%
(d) 8%
✅ Correct Answer: (c) 6%
Explanation: V ∝ r³ → error triples → 3 × 2% = 6%.
Q441. If length is measured with 1% error, breadth with 2% error, and height with 3% error, the error in volume is:
(a) 5%
(b) 6%
(c) 7%
(d) 8%
✅ Correct Answer: (b) 6%
Explanation: V = L × B × H → errors add → 1% + 2% + 3% = 6%.
Q442. If velocity is measured with 2% error and time with 3% error, the error in displacement is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: s = v × t → errors add → 2% + 3% = 5%.
Q443. If acceleration is measured with 2% error and time with 2% error, the error in velocity is:
(a) 2%
(b) 3%
(c) 4%
(d) 5%
✅ Correct Answer: (c) 4%
Explanation: v = a × t → errors add → 2% + 2% = 4%.
Q444. If force is measured with 3% error and distance with 2% error, the error in work is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: W = F × d → errors add → 3% + 2% = 5%.
Q445. If current is measured with 2% error and resistance with 3% error, the error in voltage is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: V = IR → errors add → 2% + 3% = 5%.
Q446. If charge is measured with 2% error and time with 3% error, the error in current is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: I = Q/t → errors add → 2% + 3% = 5%.
Q447. If mass is measured with 2% error and velocity with 3% error, the error in momentum is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: p = mv → errors add → 2% + 3% = 5%.
Q448. If mass is measured with 2% error and velocity with 3% error, the error in kinetic energy is:
(a) 7%
(b) 8%
(c) 9%
(d) 10%
✅ Correct Answer: (b) 8%
Explanation: KE ∝ mv² → error = Δm/m + 2Δv/v = 2% + 6% = 8%.
Q449. If radius is measured with 1% error, the error in circumference is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (a) 1%
Explanation: C ∝ r → error remains same → 1%.
Q450. If radius is measured with 1% error, the error in area of circle is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (b) 2%
Explanation: A ∝ r² → error doubles → 2 × 1% = 2%.
Q451. If velocity is measured with 2% error and acceleration with 3% error, the error in displacement (s = ½at²) is:
(a) 5%
(b) 6%
(c) 7%
(d) 8%
✅ Correct Answer: (b) 6%
Explanation: s ∝ a × t² → error = Δa/a + 2Δt/t = 3% + 3% = 6%.
Q452. If time is measured with 2% error, the error in frequency is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (b) 2%
Explanation: f = 1/T → error remains same → 2%.
Q453. If length is measured with 2% error, the error in area of square is:
(a) 2%
(b) 4%
(c) 6%
(d) 8%
✅ Correct Answer: (b) 4%
Explanation: A ∝ L² → error doubles → 2 × 2% = 4%.
Q454. If length is measured with 2% error, the error in volume of cube is:
(a) 2%
(b) 4%
(c) 6%
(d) 8%
✅ Correct Answer: (c) 6%
Explanation: V ∝ L³ → error triples → 3 × 2% = 6%.
Q455. If radius is measured with 1% error, the error in surface area of sphere is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (b) 2%
Explanation: A ∝ r² → error doubles → 2 × 1% = 2%.
Q456. If radius is measured with 1% error, the error in volume of sphere is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (c) 3%
Explanation: V ∝ r³ → error triples → 3 × 1% = 3%.
Q457. If mass is measured with 2% error and velocity with 2% error, the error in kinetic energy is:
(a) 4%
(b) 6%
(c) 8%
(d) 10%
✅ Correct Answer: (b) 6%
Explanation: KE ∝ mv² → error = Δm/m + 2Δv/v = 2% + 4% = 6%.
Q458. If current is measured with 2% error and resistance with 2% error, the error in voltage is:
(a) 2%
(b) 3%
(c) 4%
(d) 5%
✅ Correct Answer: (c) 4%
Explanation: V = IR → errors add → 2% + 2% = 4%.
Q459. If force is measured with 3% error and velocity with 2% error, the error in power is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: P = F × v → errors add → 3% + 2% = 5%.
Q460. If wavelength is measured with 2% error and frequency with 3% error, the error in velocity is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: v = λν → errors add → 2% + 3% = 5%.
Q461. If acceleration is measured with 2% error and time with 2% error, the error in velocity is:
(a) 2%
(b) 3%
(c) 4%
(d) 5%
✅ Correct Answer: (c) 4%
Explanation: v = a × t → errors add → 2% + 2% = 4%.
Q462. If length is measured with 1% error and breadth with 2% error, the error in area is:
(a) 2%
(b) 3%
(c) 4%
(d) 5%
✅ Correct Answer: (b) 3%
Explanation: A = L × B → errors add → 1% + 2% = 3%.
Q463. If length is measured with 1% error, breadth with 2% error, and height with 3% error, the error in volume is:
(a) 5%
(b) 6%
(c) 7%
(d) 8%
✅ Correct Answer: (b) 6%
Explanation: V = L × B × H → errors add → 1% + 2% + 3% = 6%.
Q464. If radius is measured with 2% error, the error in circumference is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (b) 2%
Explanation: C ∝ r → error remains same → 2%.
Q465. If radius is measured with 2% error, the error in area of circle is:
(a) 2%
(b) 4%
(c) 6%
(d) 8%
✅ Correct Answer: (b) 4%
Explanation: A ∝ r² → error doubles → 2 × 2% = 4%.
Q466. If radius is measured with 2% error, the error in volume of sphere is:
(a) 2%
(b) 4%
(c) 6%
(d) 8%
✅ Correct Answer: (c) 6%
Explanation: V ∝ r³ → error triples → 3 × 2% = 6%.
Q467. If mass is measured with 1% error and acceleration with 2% error, the error in force is:
(a) 2%
(b) 3%
(c) 4%
(d) 5%
✅ Correct Answer: (b) 3%
Explanation: F = ma → errors add → 1% + 2% = 3%.
Q468. If current is measured with 1% error and resistance with 2% error, the error in voltage is:
(a) 2%
(b) 3%
(c) 4%
(d) 5%
✅ Correct Answer: (b) 3%
Explanation: V = IR → errors add → 1% + 2% = 3%.
Q469. If force is measured with 2% error and distance with 3% error, the error in work is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: W = F × d → errors add → 2% + 3% = 5%.
Q470. If velocity is measured with 2% error and time with 3% error, the error in displacement is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: s = v × t → errors add → 2% + 3% = 5%.
Q471. If acceleration is measured with 2% error and time with 3% error, the error in velocity is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: v = a × t → errors add → 2% + 3% = 5%.
Q472. If radius is measured with 1% error, the error in surface area of sphere is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (b) 2%
Explanation: A ∝ r² → error doubles → 2 × 1% = 2%.
Q473. If radius is measured with 1% error, the error in volume of sphere is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (c) 3%
Explanation: V ∝ r³ → error triples → 3 × 1% = 3%.
Q474. If mass is measured with 2% error and velocity with 2% error, the error in momentum is:
(a) 2%
(b) 3%
(c) 4%
(d) 5%
✅ Correct Answer: (c) 4%
Explanation: p = mv → errors add → 2% + 2% = 4%.
Q475. If mass is measured with 2% error and velocity with 2% error, the error in kinetic energy is:
(a) 4%
(b) 6%
(c) 8%
(d) 10%
✅ Correct Answer: (b) 6%
Explanation: KE ∝ mv² → error = Δm/m + 2Δv/v = 2% + 4% = 6%.
Q476. If mass is measured with 2% error and velocity with 3% error, the error in momentum is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: p = mv → errors add → 2% + 3% = 5%.
Q477. If mass is measured with 2% error and velocity with 3% error, the error in kinetic energy is:
(a) 7%
(b) 8%
(c) 9%
(d) 10%
✅ Correct Answer: (b) 8%
Explanation: KE ∝ mv² → error = Δm/m + 2Δv/v = 2% + 6% = 8%.
Q478. If radius is measured with 1% error, the error in circumference is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (a) 1%
Explanation: C ∝ r → error remains same → 1%.
Q479. If radius is measured with 1% error, the error in area of circle is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (b) 2%
Explanation: A ∝ r² → error doubles → 2 × 1% = 2%.
Q480. If radius is measured with 1% error, the error in volume of sphere is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (c) 3%
Explanation: V ∝ r³ → error triples → 3 × 1% = 3%.
Q481. If length is measured with 2% error and breadth with 3% error, the error in area is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: A = L × B → errors add → 2% + 3% = 5%.
Q482. If length is measured with 2% error, breadth with 3% error, and height with 4% error, the error in volume is:
(a) 7%
(b) 8%
(c) 9%
(d) 10%
✅ Correct Answer: (c) 9%
Explanation: V = L × B × H → errors add → 2% + 3% + 4% = 9%.
Q483. If velocity is measured with 2% error and time with 2% error, the error in displacement is:
(a) 2%
(b) 3%
(c) 4%
(d) 5%
✅ Correct Answer: (c) 4%
Explanation: s = v × t → errors add → 2% + 2% = 4%.
Q484. If acceleration is measured with 2% error and time with 3% error, the error in velocity is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: v = a × t → errors add → 2% + 3% = 5%.
Q485. If force is measured with 2% error and velocity with 3% error, the error in power is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: P = F × v → errors add → 2% + 3% = 5%.
Q486. If current is measured with 2% error and voltage with 3% error, the error in electrical power is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: P = V × I → errors add → 2% + 3% = 5%.
Q487. If wavelength is measured with 1% error and frequency with 2% error, the error in velocity is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (c) 3%
Explanation: v = λν → errors add → 1% + 2% = 3%.
Q488. If mass is measured with 2% error and acceleration with 3% error, the error in force is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: F = ma → errors add → 2% + 3% = 5%.
Q489. If radius is measured with 2% error, the error in surface area of sphere is:
(a) 2%
(b) 4%
(c) 6%
(d) 8%
✅ Correct Answer: (b) 4%
Explanation: A ∝ r² → error doubles → 2 × 2% = 4%.
Q490. If radius is measured with 2% error, the error in volume of sphere is:
(a) 2%
(b) 4%
(c) 6%
(d) 8%
✅ Correct Answer: (c) 6%
Explanation: V ∝ r³ → error triples → 3 × 2% = 6%.
Q491. If length is measured with 1% error, breadth with 2% error, and height with 3% error, the error in volume is:
(a) 5%
(b) 6%
(c) 7%
(d) 8%
✅ Correct Answer: (b) 6%
Explanation: V = L × B × H → errors add → 1% + 2% + 3% = 6%.
Q492. If velocity is measured with 2% error and time with 3% error, the error in displacement is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: s = v × t → errors add → 2% + 3% = 5%.
Q493. If acceleration is measured with 2% error and time with 2% error, the error in velocity is:
(a) 2%
(b) 3%
(c) 4%
(d) 5%
✅ Correct Answer: (c) 4%
Explanation: v = a × t → errors add → 2% + 2% = 4%.
Q494. If force is measured with 3% error and distance with 2% error, the error in work is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: W = F × d → errors add → 3% + 2% = 5%.
Q495. If current is measured with 2% error and resistance with 3% error, the error in voltage is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: V = IR → errors add → 2% + 3% = 5%.
Q496. If charge is measured with 2% error and time with 3% error, the error in current is:
(a) 4%
(b) 5%
(c) 6%
(d) 7%
✅ Correct Answer: (b) 5%
Explanation: I = Q/t → errors add → 2% + 3% = 5%.
Q497. If mass is measured with 2% error and velocity with 2% error, the error in momentum is:
(a) 2%
(b) 3%
(c) 4%
(d) 5%
✅ Correct Answer: (c) 4%
Explanation: p = mv → errors add → 2% + 2% = 4%.
Q498. If mass is measured with 2% error and velocity with 2% error, the error in kinetic energy is:
(a) 4%
(b) 6%
(c) 8%
(d) 10%
✅ Correct Answer: (b) 6%
Explanation: KE ∝ mv² → error = Δm/m + 2Δv/v = 2% + 4% = 6%.
Q499. If radius is measured with 1% error, the error in circumference is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (a) 1%
Explanation: C ∝ r → error remains same → 1%.
Q500. If radius is measured with 1% error, the error in area of circle is:
(a) 1%
(b) 2%
(c) 3%
(d) 4%
✅ Correct Answer: (b) 2%
Explanation: A ∝ r² → error doubles → 2 × 1% = 2%.
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