Match the LIST-I with LIST-II Choose the correct answer from the options given below: List - I List - II A. Gravitational constant I. [LT⁻²] B. Gravitational potential energy II. [L² T⁻²] C. Gravitational potential III. [ML² T⁻²] D. Acceleration due to gravity IV. [M⁻¹ L³ T⁻²] (a) A-IV, B-III, C-II, D-I (b) A-II, B-IV, C-III, D-I (c) A-I, B-III, C-IV, D-II (d) A-III, B-II, C-I, D-IV

Answer: (a). G = (Fr²)/(m²) = [M⁻¹L³T⁻²] → IV. Gravitational potential energy is an energy = [ML²T⁻²] → III. Gravitational potential = energy per mass = [L²T⁻²] → II. g is an acceleration = [LT⁻²] → I. So the answer is (a) A-IV, B-III, C-II, D-I.

Match the LIST-I with LIST-II Choose the correct answer from the… | JEE Main 2025 (3 Apr, Shift 1)

Q24JEE Main 2025 · 3 APR · SHIFT 1Medium

Units & Dimensions

Match the LIST-I with LIST-II

Choose the correct answer from the options given below:

List - I	List - II
A. Gravitational constant	I. $[\mathrm{LT^{-2}}]$
B. Gravitational potential energy	II. $\left[\mathrm{L^{2}\ T^{-2}}\right]$
C. Gravitational potential	III. $\left[\mathrm{ML^{2}\ T^{-2}}\right]$
D. Acceleration due to gravity	IV. $\left[\mathrm{M^{-1}\ L^{3}\ T^{-2}}\right]$

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Answer: (a)

$G = \dfrac{Fr^2}{m^2} = [\mathrm{M^{-1}L^3T^{-2}}]$ → IV.
Gravitational potential energy is an energy $= [\mathrm{ML^2T^{-2}}]$ → III.
Gravitational potential = energy per mass $= [\mathrm{L^2T^{-2}}]$ → II.
$g$ is an acceleration $= [\mathrm{LT^{-2}}]$ → I.
So the answer is (a) A-IV, B-III, C-II, D-I.

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