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) $[{LT}^{- 2}]$
d) Gravitational intensity iv) $[{ML}^{2} T^{- 2}]$
(a) (b) (c) (d)
(1) ii iv i iii
(2) ii iv iii i
(3) iv ii i iii
(4) ii i iv iii

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answer is A.

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Detailed Solution

$Gravitational constant G = \frac{{Fr}^{2}}{m^{2}} = \frac{{MLT}^{- 2} L^{2}}{M^{2}} = M^{- 1} L^{3} T^{- 2}$

$Gravitational {potential energy = ML}^{2} T^{- 2}$

$Gravitational potential = \frac{energy}{mass}$

$\frac{{ML}^{2} T^{- 2}}{M} = L^{2} T^{- 2}$

$Gravitational intensity = \frac{force}{mass}$

$\frac{{MLT}^{- 2}}{M} = {LT}^{- 2}$

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	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)	$[{LT}^{- 2}]$
d)	Gravitational intensity	iv)	$[{ML}^{2} T^{- 2}]$