NEET 2022 — Physics solution

NEET2022Physics

Match List - I with List - II :

	List - I		List - II
(a)	Gravitational constant (G)	(i)	$[L^{2} T^{- 2}]$
(b)	Gravitational potential energy	(ii)	$[M^{- 1} L^{3} T^{- 2}]$
(c)	Gravitational potential	(iii)	$[L T^{- 2}]$
(d)	Gravitational intensity	(iv)	$[M L^{2} T^{- 2}]$

Choose the correct answer from the options given below :

Solution

Derive the dimensional formula of each quantity.

From $F = \frac{G m _{1} m _{2}}{r ^{2}}$ , $[G] = [M^{- 1} L^{3} T^{- 2}]$ , matching (ii).

Gravitational potential energy has dimensions of energy: $[M L^{2} T^{- 2}]$ , matching (iv).

Gravitational potential is energy per unit mass: $[L^{2} T^{- 2}]$ , matching (i).

Gravitational intensity is force per unit mass (acceleration): $[L T^{- 2}]$ , matching (iii).

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