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Physics - Units and Dimensions

Practise 148 JEE Main previous year questions on Units and Dimensions, compiled from papers spanning 2002 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty JEE Main tests.

Units and Dimensions has been asked in 21 of the 25 years of JEE Main papers analysed (2002–2026), with 148 questions in all. 60% of them were easy, 36% moderate and 4% tough. Most of its questions came from 2025, with 25 questions that year. In the last three years (2024–2026) it had 48 questions across 49 papers, about 1 per paper.

The chapter's 3 topics are not weighted equally: Dimensions (131 questions, 89%), Units (16 questions, 11%), and Errors of Measurement (1 question, 1%) have been asked the most. Dimensions has also led over the last five years, with 79 questions. Dimensions has produced the most tough questions (4).

  1. 1A new unit of length is chosen such that it is equal to the speed of light in vacuum. What is the distance between Venus and Earth in terms 08 Apr, 2026 (E)Units
  2. 2Consider the equation , where magnetic field; electric field, permittivity, distance, time. The values of and respectively are:08 Apr, 2026 (E)Dimensions
  3. 3The potential energy of a particle changes with distance from a fixed origin as , where and are constant with appropriate dimensions. The di06 Apr, 2026 (M)Dimensions
  4. 4The percentage error in the calculated volume of a sphere, if there is error in its diameter measurement, is __________.06 Apr, 2026 (E)Errors of Measurement
  5. 5Match List - I with List - II. List - I List - II A. Boltzmann constant I. B. Stefan's constant II. C. Planck's constant III. D. Gravitation06 Apr, 2026 (E)Dimensions
  6. 6, and represents physical quantities inductance, capacitance and resistance respectively. The dimensional formula corresponds to __________.05 Apr, 2026 (M)Dimensions
  7. 7Match List-I with List-II. List-I List-II A. Meter (L) I. B. Second (S) II. C. Kilogram (M) III. D. Kelvin (K) IV. where (Planck's constant)05 Apr, 2026 (E)Dimensions
  8. 8Dimensions of universal gravitational constant in terms of Planck's constant , distance , mass and time are _______.02 Apr, 2026 (E)Dimensions
  9. 9Match List - I with List - II. \( {array}{llll} & {List - I} & & {List - II} \\ A. & {Coefficient of viscosity} & I. & [M L^{-1} T^{-1}] \\ 28 Jan, 2026 (E)Dimensions
  10. 10Match the LIST-I with LIST-II \( {array}{||c|l||c|l||} & {List-I} & & {List-II} \\ {A.} & {Magnetic induction} & {I.} & {M\,L\,T^{-2}\,A^{-224 Jan, 2026 (M)Dimensions
  11. 11A ball of radius and density dropped through a viscous liquid of density and viscosity attains its terminal velocity at time , given by , wh23 Jan, 2026 (E)Dimensions
  12. 12Match the LIST-I with LIST-II \( {array}{||c|l||c||l||} & {List-I} & & {List-II} \\ A. & {Spring constant} & I. & {M L^{2} T^{-2} K^{-1}} \\22 Jan, 2026 (M)Dimensions
  13. 13If and represent the free space permittivity, electric field and time respectively, then the unit of will be :22 Jan, 2026 (E)Dimensions
  14. 14Consider a modified Bernoulli equation. constant If has the dimension of time then the dimensions of and are , respectively.21 Jan, 2026 (M)Dimensions
  15. 15Keeping the significant figures in view, the sum of the physical quantities and 0.123 m is :21 Jan, 2026 (E)Units
  16. 16If denotes the permittivity of free space and is the flux of the electric field through the area bounded by the closed surface, then dimensi07 Apr, 2025 (M)Dimensions
  17. 17The dimension of is equal to that of : ( Vacuum permeability and Vacuum permittivity)07 Apr, 2025 (E)Dimensions
  18. 18Match List-I with List-II. Choose the correct answer from the options given below :07 Apr, 2025 (E)Dimensions
  19. 19In an electromagnetic system, the quantity representing the ratio of electric flux and magnetic flux has dimension of , where value of ' Q '04 Apr, 2025 (M)Dimensions
  20. 20Given below are two statements : Statement (I) : The dimensions of Planck's constant and angular momentum are same. Statement (II) : In Bohr04 Apr, 2025 (E)Dimensions
  21. 21In an electromagnetic system, a quantity defined as the ratio of electric dipole moment and magnetic dipole moment has dimension of . The va04 Apr, 2025 (E)Dimensions
  22. 22A person measures mass of 3 different particles as and 0.125 g. According to the rules for arithmetic operations with significant figures, t03 Apr, 2025 (M)Dimensions
  23. 23Match the LIST-I with LIST-II Choose the correct answer from the options given below :03 Apr, 2025 (M)Dimensions
  24. 24Match the LIST-I with LIST-II Choose the correct answer from the options given below :03 Apr, 2025 (E)Dimensions
  25. 25The equation for real gas is given by , where and R are the pressure, volume, temperature and gas constant, respectively. The dimension of i02 Apr, 2025 (M)Dimensions
  26. 26Match List-I with List-II. Choose the correct answer from the options given below :02 Apr, 2025 (M)Dimensions
  27. 27If and are the permeability and permittivity of free space, respectively, then the dimension of is :02 Apr, 2025 (E)Dimensions
  28. 28Match List-I with List-II. Choose the correct answer from the options given below :02 Apr, 2025 (E)Units
  29. 29Given a charge , current I and permeability of vacuum . Which of the following quantity has the dimension of momentum?02 Apr, 2025 (E)Dimensions
  30. 30The expression given below shows the variation of velocity \((v)\) with time (t), \(v= {At}^2+ { {Bt}}{ {C}+ {t}}\). The dimension of ABC is29 Jan, 2025 (M)Dimensions
  31. 31The pair of physical quantities not having same dimensions is :29 Jan, 2025 (M)Dimensions
  32. 32Match List - I with List - II. Choose the correct answer from the options given below :29 Jan, 2025 (E)Dimensions
  33. 33Match List - I with List - II. Choose the correct answer from the options given below :29 Jan, 2025 (E)Units
  34. 34In a measurement, it is asked to find modulus of elasticity per unit torque applied on the system. The measured quantity has dimension of . 28 Jan, 2025 (M)Dimensions
  35. 35Match List - I with List - II.28 Jan, 2025 (E)Dimensions
  36. 36The position of a particle moving on -axis is given by , where is time. The dimension of is23 Jan, 2025 (M)Dimensions
  37. 37The electric flux is where and are linear and surface charge density, respectively. represents23 Jan, 2025 (M)Dimensions
  38. 38Match List - I with List - II. Choose the correct answer from the options given below :23 Jan, 2025 (E)Units
  39. 39If is magnetic field and is permeability of free space, then the dimensions of is22 Jan, 2025 (M)Dimensions
  40. 40Which one of the following is the correct dimensional formula for the capacitance in F ? and C stand for unit of mass, length, time and char22 Jan, 2025 (E)Dimensions
  41. 41The dimensional formula of latent heat is :09 Apr, 2024 (M)Dimensions
  42. 42The de-Broglie wavelength associated with a particle of mass and energy is . The dimensional formula for Planck's constant is :09 Apr, 2024 (E)Dimensions
  43. 43If is the permittivity of free space and is the electric field, then has the dimensions :08 Apr, 2024 (E)Dimensions
  44. 44Match List I with List II Choose the correct answer from the options given below:06 Apr, 2024 (M)Dimensions
  45. 45Given below are two statements : Statement (I) : Dimensions of specific heat is . Statement (II) : Dimensions of gas constant is . In the li06 Apr, 2024 (E)Dimensions
  46. 46If be the gravitational constant and be the energy density then which of the following quantity have the dimensions as that of the :05 Apr, 2024 (M)Dimensions
  47. 47What is the dimensional formula of in the equation , where letters have their usual meaning.05 Apr, 2024 (E)Dimensions
  48. 48The equation of stationary wave is : Which of the following is NOT correct :04 Apr, 2024 (M)Dimensions
  49. 49Applying the principle of homogeneity of dimensions, determine which one is correct, where is time period, is gravitational constant, is mas04 Apr, 2024 (E)Dimensions
  50. 50The dimensional formula of angular impulse is :01 Feb, 2024 (M)Dimensions

Frequently Asked Questions

1.How many questions are available for Units and Dimensions?

This chapter includes 148 questions compiled from JEE Main papers spanning 2002 to 2026.

2.Are these questions only from JEE Main, or from other exams too?

These are JEE Main questions specifically for the Units and Dimensions chapter. Questions from other exams like NTA Abhyas (JEE Main) or JEE Advanced are organised separately under their respective exam sections.

3.Is Units and Dimensions an important chapter for JEE Main Physics?

Units and Dimensions has appeared in 21 of the 25 years of JEE Main papers covered here, with 148 questions across 130 papers - about one per paper it appears in.

4.What is the difficulty level of Units and Dimensions questions in JEE Main?

Of the 148 questions analysed for this chapter, 60% are easy, 36% moderate and 4% tough. 2025 had the most, with 25 questions.

5.Which topics in Units and Dimensions should I focus on?

These topics have carried the most weightage in Units and Dimensions:

  • Dimensions - 131 questions (89%)
  • Units - 16 questions (11%)
  • Errors of Measurement - 1 question (1%)
  • Dimensions has produced the most tough questions (4).
6.Is Units and Dimensions's weightage in JEE Main going up or down?

Across all 130 papers analysed, Units and Dimensions has averaged about 1.1 questions per paper. In the last three years (2024–2026), that average has stayed about the same, at about 1.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.