1. The process of assigning numbers to physical quantities is called:
A) Measuring
B) Counting
C) Estimating
D) Calculating
Answer: A
Explanation: Measurement is the process of comparing a quantity with a standard unit.
2. The internationally accepted system of units is:
A) FPS system
B) CGS system
C) SI system
D) MKS system
Answer: C
Explanation: The International System of Units (SI) is the standard worldwide.
3. The SI base unit of length is:
A) Foot
B) Centimeter
C) Meter
D) Kilometer
Answer: C
Explanation: In SI, length is measured in meters (m).
4. Which of the following is NOT a fundamental quantity?
A) Mass
B) Time
C) Velocity
D) Length
Answer: C
Explanation: Velocity is derived from length and time; it’s not a base quantity.
5. The SI unit of mass is:
A) Gram
B) Kilogram
C) Quintal
D) Pound
Answer: B
Explanation: The kilogram (kg) is the SI base unit for mass.
6. The SI unit of electric current is:
A) Volt
B) Coulomb
C) Ampere
D) Ohm
Answer: C
Explanation: Ampere (A) measures electric current.
7. The SI unit of temperature is:
A) Celsius
B) Kelvin
C) Fahrenheit
D) Joule
Answer: B
Explanation: Kelvin (K) is the SI base unit for temperature.
8. The SI unit of luminous intensity is:
A) Lux
B) Candela
C) Watt
D) Lumen
Answer: B
Explanation: Luminous intensity is measured in candela (cd).
9. The SI unit of amount of substance is:
A) Mole
B) Gram mole
C) Kilomole
D) Molecule
Answer: A
Explanation:The mole is the SI base unit for amount of substance.
10. Which of the following is a derived quantity?
A) Length
B) Time
C) Force
D) Mass
Answer: C
Explanation:Force is derived: F=m × a
11. The SI unit of force is:
A) Dyne
B) Newton
C) Joule
D) Pascal
Answer: B
Explanation:Newton (N) is the SI unit of force.
12. The SI unit of energy is:
A) Newton
B) Joule
C) Watt
D) Calorie
Answer: B
Explanation: Energy is measured in Joules (J).
13. The SI unit of pressure is:
A) Pascal
B) Newton
C) Bar
D) Torr
Answer: A
Explanation: Pressure = Force/Area, measured in Pascals (Pa).
14. Which unit is NOT used in the SI system?
A) Meter
B) Kilogram
C) Second
D) Foot
Answer: D
Explanation: Foot is used in the FPS system, not in SI.
15. The dimensional formula of velocity is:
A) [M¹L¹T⁻²]
B) [M⁰L¹T⁻¹]
C) [M¹L⁰T⁻¹]
D) [M⁰L¹T⁻²]
Answer: B
Explanation: Velocity = displacement/time → L¹T⁻¹.
16. Which of these is NOT a base unit in SI?
A) Second
B) Candela
C) Joule
D) Meter
Answer: C
Explanation: Joule is a derived unit for energy.
17. In physics, a unit is defined as:
A) A standard measure of quantity
B) A large number
C) A mathematical constant
D) None of these
Answer: A
Explanation: A unit is a defined magnitude of a physical quantity.
18. The SI unit of frequency is:
A) Hertz
B) Joule
C) Watt
D) Decibel
Answer: A
Explanation: Hertz (Hz) = cycles per second.
19. The SI unit of power is:
A) Watt
B) Volt
C) Joule
D) Newton
Answer: A
Explanation: Power = Energy / Time → Watt.
20. The SI unit of work is:
A) Joule
B) Newton
C) Watt
D) Erg
Answer: A
Explanation: Work = Force × Distance, measured in Joules.
21. The dimensional formula of acceleration is:
A) [M⁰L¹T⁻²]
B) [M⁰L¹T⁻¹]
C) [M¹L¹T⁻²]
D) [M⁰L⁰T⁻²]
Answer: A
Explanation: Acceleration = Velocity/Time → L¹T⁻².
22. The dimensional formula of force is:
A) [M¹L¹T⁻²]
B) [M⁰L¹T⁻²]
C) [M¹L⁰T⁻²]
D) [M¹L²T⁻²]
Answer: A
Explanation: Force = mass × acceleration → M¹L¹T⁻².
23. The dimensional formula of energy is:
A) [M¹L¹T⁻²]
B) [M¹L²T⁻²]
C) [M⁰L²T⁻²]
D) [M¹L²T⁰]
Answer: B
Explanation:Energy = Force × Distance → M¹L²T⁻².
24. Which one of these is dimensionless?
A) Strain
B) Velocity
C) Energy
D) Momentum
Answer: A
Explanation:Strain = change in length / original length → no units.
25. The dimensional formula of pressure is:
A) [M¹L⁻¹T⁻²]
B) [M¹L¹T⁻²]
C) [M⁰L⁻¹T⁻²]
D) [M¹L²T⁻²]
Answer: A
Explanation: Pressure = Force / Area → M¹L⁻¹T⁻².
26. The dimensional formula of gravitational constant (G) is:
A) [M⁻¹L³T⁻²]
B) [M¹L³T⁻²]
C) [M⁻¹L²T⁻²]
D) [M⁰L³T⁻²]
Answer: A
Explanation:From F=GMmr2F = \frac{GMm}{r^2}F=r2GMm, G → M⁻¹L³T⁻².
27. The dimensional formula of momentum is:
A) [M¹L¹T⁻¹]
B) [M¹L¹T⁻²]
C) [M⁰L¹T⁻¹]
D) [M¹L²T⁻²]
Answer: A
Explanation:Momentum = mass × velocity → M¹L¹T⁻¹.
28. Which of the following pairs have the same dimensions?
A) Work and Torque
B) Power and Energy
C) Force and Energy
D) Pressure and Energy
Answer: A
Explanation: Both work and torque have M¹L²T⁻².
29. The dimensional formula of Planck’s constant (h) is:
A) [M¹L²T⁻¹]
B) [M¹L²T⁻²]
C) [M⁰L²T⁻²]
D) [M¹L²T⁰]
Answer: A
Explanation:From E = hν, h → M¹L²T⁻¹.
30. Which one of the following is NOT dimensionless?
A) Refractive index
B) Poisson’s ratio
C) Angular displacement (in radians)
D) Electric charge
Answer: D
Explanation:Charge has dimensions in SI: A·T.
31. The dimensional formula of velocity is:
A) [M⁰L¹T⁻¹]
B) [M¹L¹T⁻²]
C) [M⁰L¹T⁰]
D) [M⁰L¹T⁻²]
Answer: A
Explanation:Velocity = displacement/time.
32. Which has the same dimensions as impulse?
A) Force
B) Momentum
C) Power
D) Energy
Answer: B
Explanation:Impulse = Force × Time = change in momentum.
33. Which of the following is a correct equation dimensionally?
A) v = u + at
B) v² = u² + 2as
C) s = ut + ½at²
D) All of these
Answer: D
Explanation: All are dimensionally consistent.
34. The dimensional formula of universal gas constant (R) is:
A) [M¹L²T⁻²K⁻¹mol⁻¹]
B) [M¹L²T⁻²]
C) [M¹L²T⁻²mol⁻¹]
D) [M¹L²T⁻²K⁻¹]
Answer: A
Explanation:From PV = nRT.
35. Which of the following has dimensions of energy?
A) Torque
B) Work
C) Potential energy
D) All of these
Answer: D
Explanation:All have M¹L²T⁻².
36. Which is NOT a use of dimensional analysis?
A) Checking correctness of equations
B) Finding units of quantities
C) Determining exact numerical constants
D) Converting units
Answer: C
Explanation: It cannot give numerical constants.
37. The dimensional formula of surface tension is:
A) [M¹L⁰T⁻²]
B) [M¹L⁻¹T⁻²]
C) [M¹L¹T⁻²]
D) [M⁰L⁻¹T⁻²]
Answer: A
Explanation:Surface tension = Force / length.
38. The dimensional formula of angular momentum is:
A) [M¹L²T⁻¹]
B) [M¹L²T⁻²]
C) [M¹L¹T⁻¹]
D) [M⁰L²T⁻¹]
Answer: A
Explanation: Angular momentum = moment of inertia × angular velocity.
39. The dimensions of Planck’s constant divided by speed of light are:
A) [M¹L¹T⁻¹]
B) [M¹L¹T⁰]
C) [M¹L⁰T⁻¹]
D) [M⁰L¹T⁻¹]
Answer: A
Explanation: h/c → (M¹L²T⁻¹)/(L¹T⁻¹) = M¹L¹T⁰.
40. Dimensional analysis fails in case of:
A) Addition of quantities
B) Trigonometric functions
C) Logarithmic functions
D) All of these
Answer: D
Explanation:It doesn’t work with dimensionless arguments inside such functions.
41. The SI unit of electric current is:
A) Coulomb
B) Volt
C) Ampere
D) Ohm
Answer: C
Explanation:Ampere (A) is the SI base unit for electric current, defined using the charge flow per second.
42. Which of these is not a base quantity in the SI system?
A) Length
B) Time
C) Mass
D) Velocity
Answer: D
Explanation: Velocity is a derived quantity (length/time), not a base quantity.
43. The dimension of pressure is:
A) [MLT⁻²]
B) [ML⁻¹T⁻²]
C) [ML²T⁻²]
D) [M⁰L⁰T⁰]
Answer: B
Explanation:Pressure = Force/Area = [MLT⁻²]/[L²] = [ML⁻¹T⁻²].
44. Which method is used to check the dimensional correctness of an equation?
A) Dimensional analysis
B) Unit conversion
C) Significant figures
D) None of these
Answer: A
Explanation: Dimensional analysis verifies the homogeneity of dimensions in an equation.
45. The SI unit of luminous intensity is:
A) Lux
B) Candela
C) Lumen
D) Watt
Answer: B
Explanation: Candela (cd) is the SI base unit for luminous intensity.
46. One light year is a unit of:
A) Time
B) Distance
C) Speed
D) Energy
Answer: B
Explanation:A light year is the distance light travels in one year (~9.46 × 10¹² km).
47. Which of the following pairs is correct?
A) Frequency – Hertz
B) Force – Joule
C) Energy – Watt
D) Pressure – Newton
Answer: A
Explanation: Hertz (Hz) is the SI unit for frequency, meaning cycles per second.
48. The SI unit of angular velocity is:
A) rad/s
B) rad/s²
C) Hz
D) m/s
Answer: A
Explanation: Angular velocity is measured in radians per second.
49. The number of base units in the SI system is:
A) 5
B) 7
C) 9
D) 6
Answer: B
Explanation:There are 7 base units in SI: m, kg, s, A, K, mol, cd.
50. The dimension of energy is:
A) [MLT⁻²]
B) [ML²T⁻²]
C) [ML²T⁻³]
D) [M⁰L⁰T⁰]
Answer: B
Explanation:Energy = Force × distance = [MLT⁻²] × [L] = [ML²T⁻²].
51. The SI unit of work is:
A) Watt
B) Newton
C) Joule
D) Pascal
Answer: C
Explanation: Work = Force × distance → [ML²T⁻²] → Joule.
52. The dimension of power is:
A) [ML²T⁻³]
B) [MLT⁻²]
C) [ML²T⁻²]
D) [M⁰L⁰T⁰]
Answer: A
Explanation:Power = Work/Time = [ML²T⁻²]/[T] = [ML²T⁻³].
53. The SI unit of surface tension is:
A) N/m²
B) N/m
C) Pa
D) m²/N
Answer: B
Explanation:Surface tension = Force/length = [MLT⁻²]/[L] = N/m.
54. Which of the following is a dimensionless quantity?
A) Strain
B) Stress
C) Pressure
D) Velocity
Answer: A
Explanation:Strain = change in length/original length → ratio → dimensionless.
55. The SI unit of gravitational constant (G) is:
A) m³kg⁻¹s⁻²
B) m²kg⁻²s⁻²
C) m³kg⁻²s⁻¹
D) m²kg⁻¹s⁻²
Answer: A
Explanation: From F = G m₁ m₂ / r², G = Fr² / (m₁m₂) → m³kg⁻¹s⁻².
56. Which physical quantity has dimensions [ML⁻¹T⁻²]?
A) Pressure
B) Energy
C) Velocity
D) Power
Answer: A
Explanation: Pressure = Force/Area = [MLT⁻²]/[L²] = [ML⁻¹T⁻²].
57. The SI unit of electric charge is:
A) Volt
B) Coulomb
C) Ohm
D) Ampere
Answer: B
Explanation:1 Coulomb = charge carried by a current of 1 A in 1 s.
58. Which of these is NOT a derived unit?
A) Joule
B) Meter
C) Watt
D) Pascal
Answer: B
Explanation:Meter is a base unit, others are derived.
59. The dimension of universal gas constant R is:
A) [ML²T⁻²K⁻¹mol⁻¹]
B) [MLT⁻²K⁻¹mol⁻¹]
C) [M⁰L⁰T⁰K⁻¹mol⁻¹]
D) [ML²T⁻³K⁻¹mol⁻¹]
Answer:A
Explanation: From PV = nRT, R = PV/nT = (Nm²/mol·K) → [ML²T⁻²K⁻¹mol⁻¹].
60. The SI unit of luminous flux is:
A) Lumen
B) Lux
C) Candela
D) Watt
Answer:A
Explanation: Lumen measures luminous flux, total light emitted per second.
61. 1 angstrom (Å) equals:
A) 10⁻⁸ m
B) 10⁻¹⁰ m
C) 10⁻⁹ m
D) 10⁻¹² m
Answer:B
Explanation:1 Å = 10⁻¹⁰ meters.
62. The dimension of Planck’s constant (h) is:
A) [ML²T⁻¹]
B) [ML²T⁻²]
C) [ML²T⁻³]
D) [MLT⁻¹]
Answer:A
Explanation:From E = hν, h = E/ν = [ML²T⁻²]/[T⁻¹] = [ML²T⁻¹].
63. Which is the correct SI unit for frequency?
A) rad/s
B) cycles/s
C) Hz
D) All of these
Answer:D
Explanation:All are equivalent; 1 Hz = 1 cycle per second = 2π rad/s (for one full cycle).
64. Which has no physical dimension?
A) Refractive index
B) Energy
C) Momentum
D) Force
Answer:A
Explanation: Refractive index = speed of light in vacuum / speed in medium → ratio.
65. The SI unit of momentum is:
A) kg·m/s
B) N·s
C) Both A and B
D) Joule
Answer:C
Explanation: Momentum = mass × velocity; N·s is equivalent to kg·m/s.
66. Which of these is NOT an SI base unit?
A) Kelvin
B) Mole
C) Litre
D) Candela
Answer:C
Explanation: Litre is not an SI base unit; cubic meter is used in SI.
67. The dimensional formula of velocity is:
A) [MLT⁻²]
B) [MLT⁻¹]
C) [M⁰LT⁻¹]
D) [ML²T⁻²]
Answer:C
Explanation: Velocity = displacement/time = [L]/[T] = [M⁰LT⁻¹].
68. 1 micron equals:
A) 10⁻⁴ m
B) 10⁻⁶ m
C) 10⁻⁸ m
D) 10⁻⁹ m
Answer:B
Explanation:Micron (µm) = 10⁻⁶ meters.
69. The SI unit of pressure is:
A) Pa
B) N/m²
C) kg·m⁻¹·s⁻²
D) All of these
Answer:D
Explanation:Pascal (Pa) = N/m² = kg·m⁻¹·s⁻².
70. Which is a vector quantity?
A) Speed
B) Work
C) Power
D) Velocity
Answer:D
Explanation:Velocity has both magnitude and direction.
71. The SI unit of magnetic flux is:
A) Weber
B) Tesla
C) Henry
D) Ohm
Answer:A
Explanation:Weber (Wb) measures magnetic flux.
72. The dimension of force constant (spring constant) is:
A) [MT⁻²]
B) [MLT⁻²]
C) [MT⁻¹]
D) [ML⁻¹T⁻²]
Answer:A
Explanation:The dimension of the force constant (spring constant),kk𝑘, is [MT⁻²].
73. Which unit is used for measuring astronomical distances?
A) Light year
B) Parsec
C) Astronomical unit
D) All of these
Answer: D
Explanation: All are used for large distances in space.
74. The SI unit of capacitance is:
A) Farad
B) Ohm
C) Coulomb
D) Henry
Answer: A
Explanation: 1 Farad = 1 Coulomb per volt.
75. The dimensional formula of torque is:
A) [ML²T⁻²]
B) [MLT⁻²]
C) [ML²T⁻³]
D) [M²L²T⁻²]
Answer: A
Explanation:Torque = Force × distance = [MLT⁻²] × [L] = [ML²T⁻²].
76. Which physical quantity has unit Tesla?
A) Magnetic flux
B) Magnetic field
C) Magnetic moment
D) Current density
Answer: B
Explanation:Tesla (T) = Weber per square meter = magnetic flux density.
77. The SI unit of resistivity is:
A) Ohm·m
B) Ohm/m
C) Ohm/m²
D) Ohm⁻¹·m
Answer: A
Explanation: Resistivity = (Resistance × Area) / length → Ω·m.
78. The dimensional formula of electric potential difference is:
A) [ML²T⁻³A⁻¹]
B) [ML²T⁻²A⁻¹]
C) [MLT⁻³A⁻¹]
D) [ML²T⁻¹A⁻¹]
Answer: A
Explanation: Potential = Work/Charge = [ML²T⁻²]/[AT] = [ML²T⁻³A⁻¹].
79. Which unit is used for luminous intensity?
A) Lumen
B) Lux
C) Candela
D) Watt
Answer: C
Explanation: Candela is the SI base unit of luminous intensity.
80. 1 femtometer equals:
A) 10⁻¹² m
B) 10⁻¹⁵ m
C) 10⁻⁹ m
D) 10⁻¹⁰ m
Answer: B
Explanation: Femtometer = 10⁻¹⁵ meters.
81. The SI unit of inductance is:
A) Henry
B) Weber
C) Ohm
D) Tesla
Answer: A
Explanation: Henry (H) = Weber per ampere.
82. The dimensional formula of impulse is:
A) [ML²T⁻²]
B) [MLT⁻²]
C) [MLT⁻¹]
D) [MLT⁻¹]
Answer: C
Explanation: Impulse = Force × time = [MLT⁻²] × [T] = [MLT⁻¹].
83. Which is a fundamental physical constant?
A) G
B) h
C) c
D) All of these
Answer: D
Explanation: Gravitational constant, Planck’s constant, and speed of light are universal constants.
84. The SI unit of entropy is:
A) J/K
B) J/mol
C) J/mol·K
D) W/K
Answer: A
Explanation: Entropy measures disorder; SI unit is Joule per Kelvin.
85. The dimensional formula of density is:
A) [ML⁻³]
B) [MLT⁻²]
C) [M⁰LT⁻³]
D) [ML²T⁻²]
Answer: A
Explanation: Density = mass/volume → [M]/[L³] = [ML⁻³].
86. Which unit measures frequency of a wave?
A) Watt
B) Hertz
C) Joule
D) Pascal
Answer: B
Explanation: Hertz = cycles per second.
87. The SI unit of angular acceleration is:
A) rad/s²
B) rad/s
C) m/s²
D) m/s
Answer: A
Explanation:Angular acceleration = rate of change of angular velocity.
88. Which is a scalar quantity?
A) Velocity
B) Acceleration
C) Force
D) Speed
Answer: D
Explanation: Speed has only magnitude.
89. The dimensional formula of modulus of elasticity is same as:
A) Energy
B) Pressure
C) Force
D) Work
Answer: B
Explanation: Elastic modulus = Stress/Strain → same as pressure [ML⁻¹T⁻²].
90. Which of these is NOT an SI derived unit?
A) Pascal
B) Joule
C) Watt
D) Degree Celsius
Answer: D
Explanation:Celsius is a temperature scale, not a derived SI unit.
91. The SI unit of heat is:
A) Joule
B) Calorie
C) Watt
D) Kelvin
Answer: A
Explanation:Joule is the SI unit for all forms of energy, including heat.
92. 1 electronvolt (eV) equals:
A) 1.6 × 10⁻¹⁹ J
B) 3.0 × 10⁸ J
C) 9.1 × 10⁻³¹ J
D) 1.6 × 10¹⁹ J
Answer: A
Explanation: eV is the energy gained by one electron moving through a potential difference of 1 volt.
93. The SI unit of specific heat capacity is:
A) J/kg·K
B) J/mol·K
C) J/K
D) Calorie
Answer: A
Explanation:Specific heat capacity = heat per unit mass per Kelvin.
94. Which quantity has dimension [ML²T⁻²]?
A) Energy
B) Power
C) Momentum
D) Pressure
Answer: A
Explanation: Energy/work has dimension [ML²T⁻²].
95. The SI unit of kinematic viscosity is:
A) m²/s
B) m/s²
C) m/s
D) m³/s
Answer: A
Explanation: Kinematic viscosity = dynamic viscosity/density → [L²/T].
96. The SI unit of permeability is:
A) H/m
B) Wb/m
C) T·m/A
D) Ω·m
Answer: A
Explanation: Permeability (μ) is measured in Henry per meter.
97. Which physical quantity has unit Newton-second?
A) Impulse
B) Momentum
C) Both A and B
D) Power
Answer: C
Explanation: Impulse and momentum have the same unit.
98. The dimensional formula of acceleration is:
A) [MLT⁻²]
B) [M⁰LT⁻²]
C) [ML²T⁻³]
D) [M⁰LT⁻¹]
Answer: B
Explanation:Acceleration = velocity/time = [L/T²] = [M⁰LT⁻²].
99. The SI unit of thermal conductivity is:
A) W/m·K
B) W/m²·K
C) W·K/m
D) W/K
Answer: A
Explanation:Thermal conductivity measures heat flow per unit length per temperature difference.
100. Which is the base unit for thermodynamic temperature?
A) Celsius
B) Kelvin
C) Fahrenheit
D) Rankine
Answer: B
Explanation:Kelvin is the SI base unit for temperature.
