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Match mechanical and thermal quantities with their dimensional formulas or units

This type of question, asked 20 times: 2021 Paper 3, 2021 Paper 21, 2021 Paper 22, 29 Jul 2022, 24 Jan 2023, 25 Jan 2023, 30 Jan 2023, 31 Jan 2023, 8 Apr 2023, 12 Apr 2023, 30 Jan 2024, 28 Jan 2025, 29 Jan 2025, 2 Apr 2025, 3 Apr 2025, 7 Apr 2025, 22 Jan 2026 S1, 28 Jan 2026 S2, 4 Apr 2026 S2, 6 Apr 2026 S2. All 22 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 3

    13
    Match List-I with List-II:
    List-IList-II
    (A) hh (Planck's constant)(i) [MLT−1]\left\lbrack MLT^{-1} \right\rbrack
    (B) EE (kinetic energy)(ii) [ML2T−1]\left\lbrack ML^{2}T^{-1} \right\rbrack
    (C) VV (electric potential)(iii) [ML2T−2]\left\lbrack ML^{2}T^{-2} \right\rbrack
    (D) PP (linear momentum)(iv) [ML2I−1T−3]\left\lbrack ML^{2}I^{-1}T^{-3} \right\rbrack
    Choose the correct answer from the options given below:

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  2. Question 2

    2021 Paper 21

    14
    Match List-I with List-II.
    List-IList-II
    (A) RHR_{H} (Rydberg constant)(i) kg m−1 s−1kg\,m^{-1}\,s^{-1}
    (B) hh (Planck's constant)(ii) kg m2 s−1kg\,m^{2}\,s^{-1}
    (C) μB\mu_{B} (Magnetic field energy density)(iii) m−1m^{-1}
    (D) η\eta (coefficient of viscosity)(iv) kg m−1 s−2kg\,m^{-1}\,s^{-2}
    Choose the most appropriate answer from the options given below:

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  3. Question 3

    2021 Paper 22

    14
    Match List-I with List-II.
    List-IList-II
    (A) Torque(i) MLT−1MLT^{-1}
    (B) Impulse(ii) MT−2MT^{-2}
    (C) Tension(iii) ML2T−2ML^{2}T^{-2}
    (D) Surface Tension(iv) MLT−2MLT^{-2}
    Choose the most appropriate answer from the option given below:

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  4. Question 4

    29 Jul 2022

    92
    Match List I with List II.
    List IList II
    A. TorqueI. N m s−1N\,m\,s^{-1}
    B. StressII. J kg−1J\,kg^{-1}
    C. Latent HeatIII. N mN\,m
    D. PowerIV. N m−2N\,m^{-2}
    Choose the correct answer from the options given below:

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  5. Question 5

    24 Jan 2023

    17
    Match List I with List II:
    LIST ILIST II
    A. Planck's constant (h)I. [M1 L2 T−2]\left\lbrack M^{1}{\text{ }L}^{2}{\text{ }T}^{- 2} \right\rbrack
    B. Stopping potential (Vs)II. [M1 L1 T−1]\left\lbrack M^{1}{\text{ }L}^{1}{\text{ }T}^{- 1} \right\rbrack
    C. Work function (∅)(\varnothing)III. [M1 L2 T−1]\left\lbrack M^{1}{\text{ }L}^{2}{\text{ }T}^{- 1} \right\rbrack
    D. Momentum (p)IV. [M1 L2 T−3 A−1]\left\lbrack M^{1}{\text{ }L}^{2}{\text{ }T}^{- 3}{\text{ }A}^{- 1} \right\rbrack
    Choose the correct answer from the options given below:

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  6. Question 6

    25 Jan 2023

    1
    Match List I with List II
    List IList II
    A. Surface tensionI. kg m−1 s−1kg\,m^{-1}\,s^{-1}
    B. PressureII. kg m s−1kg\,m\,s^{-1}
    C. ViscosityIII. kg m−1 s−2kg\,m^{-1}\,s^{-2}
    D. ImpulseIV. kg s−2kg\,s^{-2}
    Choose the correct answer from the options given below:

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  7. Question 7

    25 Jan 2023

    96
    Match List I with List II
    LIST ILIST II
    A. Young's Modulus (Y)(Y)I. [ML−1T−1]\left\lbrack ML^{-1}T^{-1} \right\rbrack
    B. Co-efficient of Viscosity (η)(\eta)II. [ML2T−1]\left\lbrack ML^{2}T^{-1} \right\rbrack
    C. Planck's Constant (h)(h)III. [ML−1T−2]\left\lbrack ML^{-1}T^{-2} \right\rbrack
    D. Work Function (φ)(\varphi)IV. [ML2T−2]\left\lbrack ML^{2}T^{-2} \right\rbrack
    Choose the correct answer from the options given below:

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  8. Question 8

    30 Jan 2023

    105
    Match List I with List II:
    List IList II
    A.TorqueI. kg m−1 s−2kg\,m^{-1}\,s^{-2}
    B.Energy densityII. kg m s−1kg\,m\,s^{-1}
    C.Pressure gradientIII. kg m−2 s−2kg\,m^{-2}\,s^{-2}
    D.ImpulseIV. kg m2 s−2kg\,m^{2}\,s^{-2}
    Choose the correct answer from the options given below:

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  9. Question 9

    31 Jan 2023

    94
    Match List I with List II
    LIST ILIST II
    A. Angular momentumI. [ML2 T−2]\left\lbrack ML^{2}{\text{ }T}^{- 2} \right\rbrack
    B. TorqueII. [ML−2 T−2]\left\lbrack ML^{- 2}{\text{ }T}^{- 2} \right\rbrack
    C. StressIII. [ML2 T−1]\left\lbrack ML^{2}{\text{ }T}^{- 1} \right\rbrack
    D. Pressure gradientIV. [ML−1 T−2]\left\lbrack ML^{- 1}{\text{ }T}^{- 2} \right\rbrack
    Choose the correct answer from the options given below:

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  10. Question 10

    8 Apr 2023

    93
    Match List I with List II
    LIST-ILIST-II
    (A) Torque(I) ML−2T−2ML^{-2}T^{-2}
    (B) Stress(II) ML2T−2ML^{2}T^{-2}
    (C) Pressure gradient(III) ML−1T−1ML^{-1}T^{-1}
    (D) Coefficient of viscosity(IV) ML−1T−2ML^{-1}T^{-2}
    Choose the correct answer from the options given below:

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  11. Question 11

    12 Apr 2023

    9
    Match List I with List II
    List IList II
    (A) Spring constant(I) (T−1)\left( T^{-1} \right)
    (B) Angular speed(II) (MT−2)\left( MT^{-2} \right)
    (C) Angular momentum(III) (ML2)\left( ML^{2} \right)
    (D) Moment of Inertia(IV) (ML2T−1)\left( ML^{2}T^{-1} \right)
    Choose the correct answer from the options given below:

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  12. Question 12

    30 Jan 2024

    1
    Match List-I with List-II.
    List-IList-II
    A. Coefficient of viscosityI. [ML2 T−2]\left[ML^{2}\,T^{-2}\right]
    B. Surface TensionII. [ML2 T−1]\left[ML^{2}\,T^{-1}\right]
    C. Angular momentumIII. [ML−1 T−1]\left[ML^{-1}\,T^{-1}\right]
    D. Rotational kinetic energyIV. [ML0 T−2]\left[ML^{0}\,T^{-2}\right]
    Choose the correct answer from the options given below:

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  13. Question 13

    28 Jan 2025

    78
    Match List-I with List-II.
    List-IList-II
    (A) Angular Impulse(I) [M0L2T−2]\left\lbrack M^{0}L^{2}T^{-2} \right\rbrack
    (B) Latent Heat(II) [ML2T−3A−1]\left\lbrack ML^{2}T^{-3}A^{-1} \right\rbrack
    (C) Electrical resistivity(III) [ML2T−1]\left\lbrack ML^{2}T^{-1} \right\rbrack
    (D) Electromotive force(IV) [ML3T−3A−2]\left\lbrack ML^{3}T^{-3}A^{-2} \right\rbrack
    Choose the correct answer from the options given below :

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  14. Question 14

    29 Jan 2025

    91
    Match List-I with List-II.
    List-IList-II
    (A) Young's Modulus(I) ML−1T−1ML^{-1}T^{-1}
    (B) Torque(II) ML−1T−2ML^{-1}T^{-2}
    (C) Coefficient of Viscosity(III) M−1L3T−2M^{-1}L^{3}T^{-2}
    (D) Gravitational Constant(IV) ML2T−2ML^{2}T^{-2}
    Choose the correct answer from the options given below :

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  15. Question 15

    2 Apr 2025

    18
    Match List-I with List-II.
    List-IList-II
    (A) Coefficient of viscosity(I) [ML0T−3]\left\lbrack ML^{0}T^{-3} \right\rbrack
    (B) Intensity of wave(II) [ML−2T−2]\left\lbrack ML^{-2}T^{-2} \right\rbrack
    (C) Pressure gradient(III) [M−1LT2]\left\lbrack M^{-1}LT^{2} \right\rbrack
    (D) Compressibility(IV) [ML−1T−1]\left\lbrack ML^{-1}T^{-1} \right\rbrack
    Choose the correct answer from the options given below :

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  16. Question 16

    3 Apr 2025

    9
    Match the LIST-I with LIST-II
    LIST-ILIST-II
    A. Gravitational constantI. [LT−2]\left[LT^{-2}\right]
    B. Gravitational potential energyII. [L2T−2]\left[L^{2}T^{-2}\right]
    C. Gravitational potentialIII. [ML2T−2]\left[ML^{2}T^{-2}\right]
    D. Acceleration due to gravityIV. [M−1L3T−2]\left[M^{-1}L^{3}T^{-2}\right]
    Choose the correct answer from the options given below:

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  17. Question 17

    3 Apr 2025

    91
    Match the LIST-I with LIST-II
    LIST-ILIST-II
    A. Boltzmann constantI. [ML2T−1]\left[ML^{2}T^{-1}\right]
    B. Coefficient of viscosityII. [MLT−3K−1]\left[MLT^{-3}K^{-1}\right]
    C. Planck's constantIII. [ML2T−2K−1]\left[ML^{2}T^{-2}K^{-1}\right]
    D. Thermal conductivityIV. [ML−1T−1]\left[ML^{-1}T^{-1}\right]
    Choose the correct answer from the options given below:

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  18. Question 18

    7 Apr 2025

    87
    Match List-I with List-II.
    List-IList-II
    (A) Mass density(I) [ML2T−3]\left\lbrack ML^{2}T^{-3} \right\rbrack
    (B) Impulse(II) [MLT−1]\left\lbrack MLT^{-1} \right\rbrack
    (C) Power(III) [ML2T0]\left\lbrack ML^{2}T^{0} \right\rbrack
    (D) Moment of inertia(IV) [ML−3T0]\left\lbrack ML^{-3}T^{0} \right\rbrack
    Choose the correct answer from the options given below :

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  19. Question 19

    22 Jan 2026 S1

    19
    Match the LIST-I with LIST-II
    List-IList-II
    (A) Spring constant(I) ML2T−2K−1ML^{2}T^{-2}K^{-1}
    (B) Thermal conductivity(II) ML0T−2ML^{0}T^{-2}
    (C) Boltzmann constant(III) ML2T−3A−2ML^{2}T^{-3}A^{-2}
    (D) Inductive reactance(IV) MLT−3K−1MLT^{-3}K^{-1}
    Choose the correct answer from the options given below:

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  20. Question 20

    28 Jan 2026 S2

    20
    Match List-I with List-II.
    List-IList-II
    (A) Coefficient of viscosity(I) [ML−1T−2]\left\lbrack ML^{-1}T^{-2} \right\rbrack
    (B) Surface tension(II) [ML2T−2]\left\lbrack ML^{2}T^{-2} \right\rbrack
    (C) Pressure(III) [ML0T−2]\left\lbrack ML^{0}T^{-2} \right\rbrack
    (D) Surface energy(IV) [ML−1T−1]\left\lbrack ML^{-1}T^{-1} \right\rbrack
    Choose the correct answer from the options given below:

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  21. Question 21

    4 Apr 2026 S2

    1
    Match the List-I with List-II :
    List-IList-II
    (A) Planck's constant(I) ML2T−2ML^{2}T^{-2}
    (B) Stopping potential(II) T−1T^{-1}
    (C) Work function(III) ML2T−1ML^{2}T^{-1}
    (D) Threshold frequency(IV) ML2T−3A−1ML^{2}T^{-3}A^{-1}
    Choose the correct answer from the options given below :

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  22. Question 22

    6 Apr 2026 S2

    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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