JEE Physics

Dimensions & Dimensional Analysis: JEE Questions & Solutions

44 previous-year JEE Physics questions on Dimensions & Dimensional Analysis, each with a worked step-by-step solution.

Intermediate

Previous-year questions

  1. 01Consider a modified Bernoulli equation. P + A/Bt² + ρ g(h + Bt) + 1/2 ρ v² = constant If t has the dimension of time then the dimensions of…MCQMediumJEE 2026
  2. 02Match the LIST-I with LIST-II List-I List-II A. Spring constant I. ML²T⁻²K⁻¹ B. Thermal conductivity II. ML⁰T⁻² C. Boltzmann constant III.…MCQEasyJEE 2026
  3. 03A ball of radius r and density ρ dropped through a viscous liquid of density σ and viscosity η attains its terminal velocity at time t,…NVAMediumJEE 2026
  4. 04Match the LIST-I with LIST-II: List-I List-II A. Magnetic induction I. M L T⁻² A⁻² B. Magnetic flux II. M L² T⁻² A⁻² C. Magnetic…MCQMediumJEE 2026
  5. 05Match List–I with List–II. List–I & List–II A. Coefficient of viscosity & I. [ML⁻¹T⁻²] B. Surface tension & II. [ML⁻²T⁻²] C. Pressure &…MCQEasyJEE 2026
  6. 06If B is magnetic field and μ₀ is permeability of free space, then the dimensions of B/μ₀ is:MCQEasyJEE 2025
  7. 07Which one of the following is the correct dimensional formula for the capacitance in F? M, L, T, and C stand for unit of mass, length,…MCQEasyJEE 2025
  8. 08The position of a particle moving on x-axis is given by x(t) = A sin t + B cos² t + Ct² + D, where t is time. The dimension of ABC/D is:MCQEasyJEE 2025
  9. 09The electric flux is φ = α σ + β λ where λ and σ are linear and surface charge density, respectively, and ( α/β) representsMCQEasyJEE 2025
  10. 10Match List-I with List-II. List-I List-II (A) Permeability of free space (I) [M L² T⁻²] (B) Magnetic field (II) [M T⁻² A⁻¹] (C) Magnetic…MCQEasyJEE 2025
  11. 11The energy E and momentum p of a moving body of mass m are related by some equation. Given that c represents the speed of light, identify…MCQEasyJEE 2025
  12. 12In a measurement, it is asked to find the modulus of elasticity per unit torque applied on the system. The measured quantity has the…NVAEasyJEE 2025
  13. 13Match List - I with List - II. | List - I | List - II | |---|---| | (A) Angular Impulse | (I) [M⁰ L² T⁻²] | | (B) Latent Heat | (II) [M L²…MCQEasyJEE 2025
  14. 14The pair of physical quantities not having same dimensions is:MCQEasyJEE 2025
  15. 15Match List-I with List-II. | List-I | List-II | |---|---| | (A) Young's Modulus | (I) ML⁻¹T⁻¹ | | (B) Torque | (II) ML⁻¹T⁻² | | (C)…MCQEasyJEE 2025
  16. 16Match List-I with List-II. | List-I | List-II | |---|---| | (A) Coefficient of viscosity | (I) [ML⁰T⁻³] | | (B) Intensity of wave | (II)…MCQMediumJEE 2025
  17. 17Given a charge q, current I and permeability of vacuum μ₀. Which of the following quantity has the dimension of momentum?MCQEasyJEE 2025
  18. 18If μ₀ and ε₀ are the permeability and permittivity of free space, respectively, then the dimension of ( 1/(μ₀ ε₀)) is:MCQEasyJEE 2025
  19. 19Match the LIST-I with LIST-II LIST-I LIST-II A. Gravitational constant I. [LT⁻²] B. Gravitational potential energy II. [L²T⁻²] C.…MCQEasyJEE 2025
  20. 20Match the LIST-I with LIST-II | LIST-I | LIST-II | | --- | --- | | A. Boltzmann constant | I. ML²T⁻¹ | | B. Coefficient of viscosity | II.…MCQEasyJEE 2025
  21. 21In an electromagnetic system, the quantity representing the ratio of electric flux and magnetic flux has dimension of M^P L^Q T^R A^S,…MCQEasyJEE 2025
  22. 22In an electromagnetic system, a quantity defined as the ratio of electric dipole moment and magnetic dipole moment has dimensions of [M^P…MCQEasyJEE 2025
  23. 23The dimension of √(μ₀/ε₀) is equal to that of: (Where μ₀ is the vacuum permeability and ε₀ is the vacuum permittivity)MCQEasyJEE 2025
  24. 24Match List-I with List-II. | List-I | List-II | | --- | --- | | (A) Mass density | (I) [ML²T⁻³] | | (B) Impulse | (II) [MLT⁻¹] | | (C)…MCQEasyJEE 2025
  25. 25The equation of state of a real gas is given by ( P + a/V²)(V - b) = RT, where P, V, and T are pressure, volume, and temperature. The…MCQEasyJEE 2024
  26. 26Match List-I with List-II. | List-I | List-II | |---|---| | (A) Coefficient of viscosity | (I) [ML²T⁻²] | | (B) Surface tension | (II)…MCQEasyJEE 2024
  27. 27If mass is written as m = k c^p G^(-1/2) h^(1/2), then the value of p will be:MCQEasyJEE 2024
  28. 28A force is represented by F = ax² + bt^(1/2) where x = distance and t = time. The dimensions of b²/a are:MCQEasyJEE 2024
  29. 29The de-Broglie wavelength associated with a particle of mass m and energy E is: λ = h/√2mE The dimensional formula for Planck’s constant is:MCQEasyJEE 2024
  30. 30Match List I with List II: List I A. Planck's constant h B. Stopping potential V_s C. Work function Φ D. Momentum p List II I. M¹L²T⁻² II.…MCQEasyJEE 2023
  31. 31The frequency (ν) of an oscillating liquid drop may depend upon radius (r) of the drop, density (ρ) of liquid and the surface tension (s)…MCQMediumJEE 2023
  32. 32Match List I with List II: | List I | List II | |---|---| | (A) Surface tension | (I) kg m⁻¹ s⁻¹ | | (B) Pressure | (II) kg m s⁻¹ | | (C)…MCQMediumJEE 2023
  33. 33Match List I with List II | List I | List II | |---|---| | (A) Young's Modulus (Y) | (I) [M L⁻¹ T⁻¹] | | (B) Co-efficient of Viscosity (η)…MCQEasyJEE 2023
  34. 34Match List-I with List-II: | List-I (Physical Quantity) | List-II (Dimensional Formula) | |---|---| | (A) Pressure gradient | (I) [M⁰L²T⁻²]…MCQMediumJEE 2023
  35. 35The equation of a circle is given by x² + y² = a², where a is the radius. If the equation is modified to change the origin other than ((0,…MCQEasyJEE 2023
  36. 36Match List I with List II | List I | List II | |---|---| | (A) Torque | (I) kg m⁻¹ s⁻² | | (B) Energy density | (II) kg m s⁻¹ | | (C)…MCQEasyJEE 2023
  37. 37If R, X_L, and X_C represent resistance, inductive reactance, and capacitive reactance, then which of the following is dimensionless:MCQEasyJEE 2023
  38. 38Match List-I with List-II. List-I List-II A. Angular momentum I. [ML²T⁻²] B. Torque II. [ML⁻²T⁻²] C. Stress III. [ML²T⁻¹] D. Pressure…MCQEasyJEE 2023
  39. 39The equation of state for some gases is given by: ( P + a/V²) (V - b) = RT The physical quantity, which has the same dimensional formula as…MCQEasyJEE 2023
  40. 40If the velocity of light c, universal gravitational constant G and Planck's constant h are chosen as fundamental quantities. The dimensions…MCQMediumJEE 2023
  41. 41Dimension of 1/(μ₀ ε₀) should be equal to:MCQEasyJEE 2023
  42. 42If force (F), velocity (V) and time (T) are considered as fundamental physical quantity, then dimensional formula of density will be:-MCQMediumJEE 2023
  43. 43Match List I with List II | List I | List II | |---|---| | (A) Spring constant | (I) [T⁻¹] | | (B) Angular speed | (II) [MT⁻²] | | (C)…MCQEasyJEE 2023
  44. 44The speed of a wave produced in water is given by v=λ^a g^b ρ^c, where λ, g and ρ are the wavelength of the wave, acceleration due to…MCQEasyJEE 2023

Frequently asked questions

Our bank has 44 previous-year JEE Physics questions tagged to Dimensions & Dimensional Analysis, drawn from JEE papers between 2023 and 2026, including 5 from 2026 alone. Each comes with a full step-by-step solution.

Dimensions & Dimensional Analysis is rated Intermediate overall for JEE Physics. The PYQs on this page break down as 35 easy, 9 medium.

Of the 44 previous-year questions on Dimensions & Dimensional Analysis, 42 are multiple-choice (MCQ) and 2 are numerical-value (NVA) questions.

Based on recent paper analysis, Dimensions & Dimensional Analysis is worth about 3 marks in JEE Main. It sits in Units & Measurements, a Class 11 Physics chapter.

More Units & Measurements topics

Significant Figures & Error Analysis24SI System & Derived Units4Physical Quantities & Units1

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