• Amal Augustine
• November 24, 2025

CUET Physics Masterclass: Advanced Dimensional Analysis & Measurement MCQs Solved

Preparing for CUET Physics requires a deep understanding of dimensional analysis, measurement accuracy, significant figures, and physical quantities. Many CUET aspirants frequently search for CUET Physics Units and Measurements important concepts explained, dimensional analysis tricky questions for CUET physics, Units and Dimensions CUET theory summary, and CUET Units and Measurements case-based questions. This blog post covers everything you need — including topic-wise MCQs, advanced dimensional analysis, and real exam-style problems.

This comprehensive guide uses keywords commonly searched by CUET students, such as CUET Units and Measurements quick revision notes, surface tension and stress comparison CUET, Vernier calipers CUET physics numerical questions, and Units and Measurements assertion reason CUET.

1. Understanding Dimensional Analysis for CUET

Dimensional analysis helps ensure equations are physically meaningful. Quantities with identical dimensions can be added, compared, or equated. CUET Physics places heavy emphasis on concepts like wave number, magnetic moment dimensions, torque vs work, pressure vs stress, impedance and reactance, and ratio of angular to linear momentum.

Below are carefully chosen CUET-focused MCQs that strengthen conceptual clarity.

2. CUET MCQs: Dimensional Formula Problems

1. Refractive Index Formula

The refractive index is given by:
n = A + B / λ²
Dimensional formula of B is:
a) M⁰L²T⁻¹
b) M⁰L⁻²T⁰
c) M⁰L²T⁻²
d) M⁰L²T⁰
Answer: d

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2. Identical Dimensions

Which pair has identical dimensions?
a) Momentum & force
b) Pressure & surface tension
c) Moment of force & angular momentum
d) Surface tension & surface energy
Answer: d

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3. Wave Number

Dimensional formula of wave number:
a) M⁰L⁰T⁰
b) M⁰L⁻¹T⁰
c) M⁰L⁰T⁻¹
d) M⁻¹L⁻¹T⁰
Answer: b

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4. Dimensions Not Same

Which pair does not have the same dimensions?
a) Potential gradient & electric field
b) Torque & kinetic energy
c) Light year & time period
d) Impedance & reactance
Answer: c

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5. Torque Dimensions

Dimensions of torque:
a) M²L²T⁻²
b) ML²T⁻²
c) ML²T⁻¹
d) ML⁰T⁻²
Answer: b

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6. Magnetic Moment

Dimensions of magnetic moment:
a) [LA]
b) [L²A]
c) [LT⁻¹A]
d) [L²T⁻¹A]
Answer: b

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7. Kinetic Energy

Dimensions of kinetic energy:
a) M²L²T¹
b) M¹L²T¹
c) M¹L²T⁻²
d) M¹L²T⁻¹
Answer: c

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8. Identical Dimensional Quantities

Which set has the same dimensional formula?
a) Frequency, angular frequency, angular momentum
b) Surface tension, stress, spring constant
c) Acceleration, momentum, retardation
d) Work, energy, torque
Answer: d

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9. Magnetic Flux Density Conversion

1 Wb/m² equals:
a) 10⁴ gauss
b) 4π × 10⁻³ gauss
c) 10² gauss
d) 10⁻⁴ gauss
Answer: a

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10. Electric Dipole Moment

Dimensions of electric dipole moment:
a) L²A
b) LA
c) LTA
d) T⁻²
Answer: c

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11. Pressure Dimensions

Dimensions of pressure:
a) ML²T⁻²
b) MLT⁻²
c) ML⁻¹T⁻²
d) ML⁻²T⁻²
Answer: c

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12. Hubble Constant

Hubble constant has dimensions of:
a) Time
b) (Time)⁻¹
c) Length
d) Mass
Answer: b

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13. ε₀ dΦE/dt

Dimensions of ε₀ dΦE/dt are of:
a) Potential
b) Charge
c) Capacitance
d) Current
Answer: d

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14. Pair with Same Dimensions

a) Torque & work
b) Energy & Young’s modulus
c) Work & pressure
d) Angular momentum & work
Answer: a

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15. Ratio of Angular Momentum to Momentum

Dimensions of L/p:
a) L⁰
b) L¹
c) L²
d) MLT
Answer: b

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16. Dimensional Formula of C²LR

a) M⁰L⁰T³
b) ML⁻²T
c) M⁰L⁰T²
d) M⁻¹L⁻²T⁶A²
Answer: a

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17. Dimensions Not Same

a) Torque & work
b) Momentum & impulse
c) Pressure & stress
d) Power & strain
Answer: d

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18. Dimensions of pc (momentum × speed of light)

Equivalent to dimensions of:
a) Power
b) Force
c) Angular momentum
d) Torque
Answer: d

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19. Pair That Does NOT Have Same Dimensions

a) Frequency & angular frequency
b) Angular velocity & velocity gradient
c) Velocity gradient & angular frequency
d) Angular frequency & potential energy gradient
Answer: d

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20. Unit of P in F = Pt⁻¹ + Qt

a) Acceleration
b) Momentum
c) Velocity
d) Displacement
Answer: b

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21. Dimensions of γ in Z = α + βt + γt²

a) LT⁻¹
b) L⁻¹T
c) LT⁻²
d) LT²
Answer: c

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22. Relative Density

a) ML⁻²
b) ML⁻³
c) Dimensionless
d) M²L⁻⁶
Answer: c

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23. Viscosity Units

Correct statement:
a) 1 P = 1 Pl
b) 1 P = 10 Pl
c) 10 P = 1 Pl
d) None
Answer: c

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24. Damping Force Proportional to Velocity

Dimensional formula of constant of proportionality:
a) ML⁻¹T⁻¹
b) MLT⁻¹
c) ML⁰T⁻¹A
d) ML⁰T⁻¹
Answer: d

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25. Light Refraction: Which Parameter Doesn’t Change?

a) Velocity
b) Amplitude
c) Frequency
d) Wavelength
Answer: c

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26. Match List I and II

Correct match:
A-IV, B-II, C-I, D-III
Answer: c

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27. Dimension of I/(rcv)

a) LT²
b) LTA
c) A⁻¹
d) LA⁻²
Answer: c

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28. SI Unit Pascal-second → Dimensions

a) ML⁻¹T⁻¹
b) ML⁻¹T⁻²
c) ML²T⁻¹
d) M⁻¹L³T⁰
Answer: a

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29. Dimensions [MLT⁻²A⁻²]

Belongs to:
a) Magnetic permeability
b) Electric permeability
c) Magnetic flux
d) Self inductance
Answer: a

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30. Plane Angle & Solid Angle

a) No units, no dimensions
b) Both units & dimensions
c) Units but no dimensions
d) Dimensions but no units
Answer: c

Conclusion

This CUET-focused guide integrates all essential dimensional concepts, units, and measurement reasoning that students frequently search for — including CUET Units and Measurements quick revision notes, dimensional analysis tricky questions, identical dimension pairs, wave number CUET, surface tension vs stress CUET, and many more.