Match List-I and List-II, Gravitation , Gravitational constant (G), NEET [2022]

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Q.
Match List-I and List-II: [2022]

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:

1 (A)-(ii), (B)-(i), (C)-(iv), (D)-(iii)

2 (A)-(ii), (B)-(iv), (C)-(i), (D)-(iii)

3 (A)-(ii), (B)-(iv), (C)-(iii), (D)-(i)

4 (A)-(iv), (B)-(ii), (C)-(i), (D)-(iii)

Ans.
(2)

Here, $F = G \frac{M_{1} M_{2}}{r^{2}}$

Gravitational constant, $G = \frac{F \times r^{2}}{M_{1} \times M_{2}} = [M^{- 1} L^{3} T^{- 2}]$

Gravitational potential energy, $U = \frac{- G M_{1} M_{2}}{r} = [M^{1} L^{2} T^{- 2}]$

Gravitational potential, $V = - \frac{G M}{r} = [M^{0} L^{2} T^{- 2}]$

Gravitational intensity, $I = \frac{G M}{r^{2}} = [M^{0} L^{1} T^{- 2}]$

So, (A)-(ii), (B)-(iv), (C)-(i), (D)-(iii)

Solution

1 (A)-(ii), (B)-(i), (C)-(iv), (D)-(iii)

2 (A)-(ii), (B)-(iv), (C)-(i), (D)-(iii)

3 (A)-(ii), (B)-(iv), (C)-(iii), (D)-(i)

4 (A)-(iv), (B)-(ii), (C)-(i), (D)-(iii)

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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)	$[L T^{- 2}]$
(D)	Gravitational intensity	(iv)	$[M L^{2} T^{- 2}]$

Solution

Q. Match List-I and List-II: [2022] List-I List-II (A) Gravitational constant (G) (i) [L2T-2] (B) Gravitational potential energy (ii) [M-1L3T-2] (C) Gravitational potential (iii) [LT-2] (D) Gravitational intensity (iv) [ML2T-2] Choose the correct answer from the options given below:

1 (A)-(ii), (B)-(i), (C)-(iv), (D)-(iii)

2 (A)-(ii), (B)-(iv), (C)-(i), (D)-(iii)

3 (A)-(ii), (B)-(iv), (C)-(iii), (D)-(i)

4 (A)-(iv), (B)-(ii), (C)-(i), (D)-(iii)

Ans. (2) Here, F=GM1M2r2 Gravitational constant, G=F×r2M1×M2=[M-1L3T-2] Gravitational potential energy, U=-GM1M2r=[M1L2T-2] Gravitational potential, V=-GMr=[M0L2T-2] Gravitational intensity, I=GMr2=[M0L1T-2] So, (A)-(ii), (B)-(iv), (C)-(i), (D)-(iii)

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