- Amal Augustine
- November 26, 2025
Aspiring for NEET ,JEE & CUET: Master Dimensional Analysis with This Complete MCQ Guide
Introduction
Units and Measurements is one of the most fundamental chapters across NEET Physics, JEE Physics, and CUET Physics. Students often underestimate it, but it is the backbone of mechanics, thermodynamics, optics, electricity, magnetism, and modern physics. Understanding dimensional analysis, dimensional formulae, and physical quantities is essential for solving theoretical questions, verifying relations, and eliminating incorrect options in competitive exams.
This blog covers important concepts, core keywords, and a large set of hand-picked MCQs from Units and Measurements — including dimensional formula questions, base and derived quantities, universal constants, Stefan’s constant, Wien’s constant, Planck’s constant, electrical quantities, pressure dimensions, power dimensions, surface tension, viscosity, electric flux, magnetic field dimensions, energy units, electron mobility, molar gas constant, light year, parsec, latent heat, electrical resistance, and gravitational constant.
Understanding Key Concepts in Units and Measurements
Dimensional Analysis
This is a powerful method to check the validity of equations, derive relations, convert units, and compare physical quantities. Many constants like Planck’s constant, Boltzmann constant, Stefan’s constant, gravitational constant, permeability, permittivity, and surface tension have characteristic dimensional formulae that appear repeatedly in exams.
Dimensionless Quantities
Some physical quantities, such as relative density and strain, have no dimensions. These play a key role in identifying whether an equation is dimensionally homogeneous.
Units of Common Physical Constants
NEET, JEE, and CUET frequently ask about units such as electron-volt, Poiseuille, mobility, molar gas constant, Stefan’s constant, etc. Memorizing these improves accuracy.
Keywords used naturally throughout this article
units and measurements, dimensional analysis, dimensional formula, universal gravitational constant, Planck’s constant, Stefan’s constant, Wien’s constant, surface tension, viscosity, permeability, permittivity, electric flux, magnetic flux, luminous flux, latent heat, energy units, electron mobility, molar gas constant, Young’s modulus, impulse, power dimensions, torque dimensions, angular momentum dimensions, wave number, light year, parsec.
CUET/JEE/NEET MCQs from Units and Measurements (With Answers)
1. The correct dimensional formula for impulse is given by
a) [ML²T⁻²]
b) [MLT⁻¹]
c) [ML²T⁻¹]
d) [MLT⁻²]
Answer: b
2. If the force is given by F = at + bt² with t as time. The dimensions of a and b are
a) [MLT⁻⁴] and [MLT⁻²]
b) [MLT⁻³] and [MLT⁻⁴]
c) [ML²T⁻³] and [ML²T⁻²]
d) [ML²T⁻³] and [ML³T⁻⁴]
Answer: b
3. Dimensional formula of Stefan’s constant is
a) [MT⁻³K⁻⁴]
b) [ML⁰T⁻²K⁻⁴]
c) [ML²T⁻²]
d) [MT⁻²L⁰]
Answer: a
4. The dimensions of self-inductance L are
a) [ML²T⁻²A⁻²]
b) [ML²T⁻¹A⁻²]
c) [ML²T⁻¹A⁻¹]
d) [ML⁻²T⁻²A⁻²]
Answer: a
5. The dimensions of universal gravitational constant are
a) [M⁻²L⁻³T⁻²]
b) [M⁻²L²T⁻¹]
c) [M⁻¹L³T⁻²]
d) [ML²T⁻²]
Answer: c
6. The dimension of magnetic flux is
a) [MLT⁻¹A⁻¹]
b) [ML⁻¹TA⁻²]
c) [ML²T⁻²A]
d) [ML²T⁻²A⁻¹]
Answer: d
7. Dimensions of Planck’s constant is
a) [ML²T⁻¹]
b) [MLT⁻²]
c) [ML⁻²T]
d) [ML⁻¹T²]
Answer: a
8. Planck’s constant has the dimensions of
a) linear momentum
b) angular momentum
c) energy
d) power
Answer: b
9. Dimensions of 1 / μ₀ε₀ are
a) [L⁻¹T]
b) [L²T²]
c) [L²T⁻²]
d) [LT⁻¹]
Answer: c
10. Dimensional formula for ε₀ is
a) [M⁻¹L⁻²A²T²]
b) [ML²A⁻²T⁴]
c) [M⁻¹L⁻³A²T⁴]
d) [ML³A⁻²T⁴]
Answer: c
11. The dimension of light year is
a) [LT⁻¹]
b) [T]
c) [ML²T⁻²]
d) [L]
Answer: d
12. Dimensions of resistance are
a) [ML²T⁻³I⁻¹]
b) [ML²T⁻²]
c) [ML²T⁻¹I⁻¹]
d) [ML²T⁻³I⁻²]
Answer: d
13. The dimensional formula for latent heat is
a) [MLT⁻2]
b) [ML²T⁻²]
c) [M⁰L²T⁻²]
d) [MIT⁻¹]
Answer: c
14. If power (P), surface tension (T) and Planck’s constant (h) are arranged in ascending order of time dimension
a) P, T, h
b) P, h, T
c) T, P, h
d) T, h, P
Answer: a
15. The dimensions of impulse is
a) [MLT⁻²]
b) [M²LT⁻¹]
c) [MLT⁻¹]
d) [ML²T⁻¹]
Answer: c
16. Dimensional formula for permeability μ₀ is
a) [MLT⁻2A⁻2]
b) [ML⁻1T⁻2A⁻2]
c) [ML⁻1T⁻2A²]
d) [MLT⁻2A⁻1]
Answer: a
17. [ML⁻1T⁻1] stands for
a) work
b) torque
c) linear momentum
d) coefficient of viscosity
Answer: d
18. Dimension of b/a in p = a − t²/bx
a) [LT⁻3]
b) [ML³T⁻1]
c) [M²LT⁻3]
d) [MT⁻2]
Answer: d
19. The physical quantity with dimensions [M⁻1L⁻3T³A²] is
a) resistance
b) resistivity
c) electrical conductivity
d) electromotive force
Answer: c
20. SI unit of thermal conductivity is
a) J s m⁻1 K⁻1
b) W⁻1 m⁻1 K⁻1
c) W m⁻1 K⁻1
d) W m⁻2 K⁻1
Answer: c
21. Electron-volt is the unit of
a) Charge
b) Potential
c) Momentum
d) Energy
Answer: d
22. The unit of magnetic permeability
a) Wb A⁻1 m⁻1
b) Wb⁻1 A m
c) Wb A m⁻1
d) Wb A⁻1 m
Answer: a
23. The unit of molar gas constant
a) J K⁻1 mol⁻1
b) J
c) K
d) J mol⁻1
Answer: a
24. Which of the following is not a unit of energy?
a) W s
b) kg m s⁻1
c) C N m
d) kg m² s⁻²
Answer: b
25. Poiseuille is the unit of
a) pressure
b) friction
c) surface tension
d) viscosity
Answer: d
26. SI unit of electron mobility is
a) m² s⁻1 V⁻1
b) m s V⁻1
c) m s⁻1 V
d) m² s⁻2 V⁻2
Answer: a
27. Which of the following is not a unit of mutual inductance?
a) henry
b) weber
c) ohm second
d) volt second (ampere)⁻1
Answer: b
28. Which one is not a unit of Young’s modulus?
a) N m⁻1
b) N m⁻2
c) dyne cm⁻2
d) mega pascal
Answer: a
29. Parsec is the unit of
a) time
b) distance
c) frequency
d) angular acceleration
Answer: b
30. Units of eV/T are same as
a) Planck’s constant
b) Stefan’s constant
c) Boltzmann’s constant
d) Gravitational constant
Answer: c
Conclusion
Dimensional analysis is one of the most powerful and high-scoring topics in units and measurements. Whether you prepare for NEET, JEE, or CUET, understanding dimensional formulae, constants,derived quantities, and unit conversions will significantly improve your accuracy. The MCQs above cover the most important patterns asked in competitive exams — especially Planck’s constant, Stefan’s constant, Wien’s constant, resistance, conductivity, permeability, permittivity, latent heat, impulse, thermal conductivity, viscosity, and energy units.
Amal Augustine is the founder of ExQuizMe, a dynamic learning and quiz platform built to make education engaging, competitive, and fun. A passionate learner and an academic achiever, Amal completed his schooling at Government HSS Manjapra, graduating with 92.5% in Computer Science. He later earned his degree from St. Stephen’s College, University of Delhi, one of India’s most prestigious arts and science institutions.
Currently, Amal is pursuing his Master’s degree at National Sun Yat-sen University, Taiwan, where he continues to deepen his interest in research and technology. Throughout his school and college years, he won 50+ national-level interschool and collegiate quiz competitions, was
Beyond academics, Amal Augustine is an avid reader of science journals, a dedicated research student, and a technology enthusiast who loves programming and exploring the world of Computer Science. Through ExQuizMe, he aims to make learning accessible, enjoyable, and empowering for students across the globe.