Match the List-I with List-II Choose the correct answer from the options given below: List-I List-II --- --- --- --- A. Gravitational constant I. [ L T -2 ] B. Gravitational potential energy II. [ L 2 \!\! \!\! T -2 ] C. Gravitational potential III. [ M L 2 \!\! \!\! T -2 ] D. Acceleration due to gravity IV. [ M -1 \!\! \!\! L 3 \!\! \!\! T -2 ]

Physics · Units, Dimensions & Error Analysis

JEE Main 2025 — 3 April, Morning Shift — Question 53

Match the List-I with List-II Choose the correct answer from the options given below:

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

(A) $F=\frac{G m^{2}}{r^{2}} \equiv G=\frac{F r^{2}}{m^{2}} \equiv \frac{M L T^{-2} L^{2}}{M^{2}}=M^{-1} L^{3} T^{-2}$

A \rightarrow \mathrm{IV}

(B) $G . P E \equiv$ Energy $\equiv M L^{2} T^{-2}$

B \rightarrow \text { III }

$C \rightarrow I$

(D) $g \equiv L T^{-2}$ D $\rightarrow$ I

Answer key and solution verified before publishing.

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