PYQ Vault

Units and Measurements

JEE Mains Physics. Try each one first, then open its answer.

Top 10 JEE Mains PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 20 times: 3 in 2021, 1 in 2022, 6 in 2023, 1 in 2024, 5 in 2025, 4 in 2026. This one: 6 Apr 2026 S2 See all 20 of this type

    2
    Match List-I with List-II.
    List-IList-II
    (A) Boltzmann constant(I) [M−1L3T−2][M^{-1}L^{3}T^{-2}]
    (B) Stefan's constant(II) [ML2T−1][ML^{2}T^{-1}]
    (C) Planck's constant(III) [ML2T−2K−1][ML^{2}T^{-2}K^{-1}]
    (D) Gravitational constant(IV) [ML0T−3K−4][ML^{0}T^{-3}K^{-4}]
    Choose the correct answer from the options given below.

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  2. Question 2

    This type asked 10 times: 2021 Paper 17, 25 Jun 2022, 25 Jul 2022, 27 Jul 2022, 10 Apr 2023, 13 Apr 2023, 29 Jan 2024, 29 Jan 2025, 3 Apr 2025, 6 Apr 2026 S2. This one: 6 Apr 2026 S2 See all 10 of this type

    1
    The percentage error in the calculated volume of a sphere, if there is 2%2\% error in its diameter measurement, is ____\_\_\_\_ .

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  3. Question 3

    This type asked 10 times: 2021 Paper 5, 26 Jun 2022, 29 Jul 2022, 30 Jan 2024, 1 Feb 2024, 5 Apr 2024, 8 Apr 2024, 9 Apr 2024, 4 Apr 2025, 24 Jan 2026 S2. This one: 24 Jan 2026 S2 See all 10 of this type

    2
    In a vernier callipers, 50 vernier scale divisions are equal to 48 main scale divisions. If one main scale division =0.05 mm= 0.05\text{ }mm, then the least count of the vernier callipers is ____\_\_\_\_ mm.

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  4. Question 4

    This type asked 8 times: 2021 Paper 7, 2021 Paper 23, 29 Jun 2022, 26 Jul 2022, 27 Jul 2022, 10 Apr 2023, 28 Jan 2026 S1, 5 Apr 2026 S1. This one: 5 Apr 2026 S1 See all 8 of this type

    1
    In a Vernier calipers, when both jaws touch each other, zero of the Vernier scale is shifted to the right of zero of the main scale and 7th 7^{\text{th~}} Vernier division coincides with a main scale reading. If the value of 1 main scale division is 1 mm and there are 10 Vernier scale divisions, then the Vernier caliper has

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  5. Question 5

    This type asked 8 times: 2021 Paper 3, 2021 Paper 18, 29 Jul 2022, 30 Jan 2023, 6 Apr 2024, 8 Apr 2024, 23 Jan 2026 S1, 2 Apr 2026 S2. This one: 2 Apr 2026 S2 See all 8 of this type

    7
    In a screw gauge the zero of main scale reference line coincides with the fifth division of the circular scale when two studs are in contact. There are 100 divisions in circular scale and pitch of screw gauge is 0.1 mm . When diameter of a sphere is measured, the reading of main scale is 5 mm and 50th 50^{\text{th~}} division of circular scale coincides with the reference line of main scale. The diameter of sphere is ____\_\_\_\_ mm.

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  6. Question 6

    This type asked 7 times: 2021 Paper 1, 2021 Paper 11, 2021 Paper 25, 26 Jun 2022, 27 Jul 2022, 28 Jul 2022, 4 Apr 2024. This one: 4 Apr 2024 See all 7 of this type

    13
    The equation of stationary wave is:
    y=2asin⁡(2πntλ)cos⁡(2πxλ)y = 2a\sin\left( \frac{2\pi nt}{\lambda} \right)\cos\left( \frac{2\pi x}{\lambda} \right)
    Which of the following is NOT correct?

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  7. Question 7

    This type asked 6 times: 2021 Paper 15, 31 Jan 2024, 23 Jan 2025, 29 Jan 2025, 21 Jan 2026 S1, 6 Apr 2026 S1. This one: 6 Apr 2026 S1 See all 6 of this type

    2
    The potential energy of a particle changes with distance xx from a fixed origin as V=Axx+BV=\frac{A\sqrt{x}}{x+B}, where A and B are constant with appropriate dimensions. The dimension of AB are ____\_\_\_\_ .

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  8. Question 8

    This type asked 6 times: 29 Jun 2022, 1 Feb 2023, 13 Apr 2023, 27 Jan 2024, 5 Apr 2024, 2 Apr 2025. This one: 2 Apr 2025 See all 6 of this type

    2
    The equation for real gas is given by (P+aV2)(V−b)=RT\left( P +\frac{a}{V^{2}} \right)(V - b) = RT, where P,V,TP,V,T and R are the pressure, volume, temperature and gas constant, respectively. The dimension of ab−2ab^{- 2} is equivalent to that of :

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  9. Question 9

    This type asked 5 times: 2021 Paper 21, 2021 Paper 23, 25 Jul 2022, 11 Apr 2023, 2 Apr 2026 S2. This one: 2 Apr 2026 S2 See all 5 of this type

    1
    Dimensions of universal gravitational constant (G) in terms of Planck's constant (h), distance ( LL ), mass ( MM ) and time ( TT ) are ____\_\_\_\_ .

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  10. Question 10

    This type asked 5 times: 2021 Paper 17, 2021 Paper 19, 6 Apr 2024, 23 Jan 2025, 24 Jan 2026 S1. This one: 24 Jan 2026 S1 See all 5 of this type

    1
    Match the List-I with List-II
    List-IList-II
    (A) Magnetic induction(I) MLT−2A−2MLT^{-2}A^{-2}
    (B) Magnetic flux(II) ML2T−2A−2ML^{2}T^{-2}A^{-2}
    (C) Magnetic permeability(III) ML0T−2A−1ML^{0}T^{-2}A^{-1}
    (D) Self inductance(IV) ML2T−2A−1ML^{2}T^{-2}A^{-1}
    Choose the correct answer from the options given below:

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