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Match List-I with List-II.
Column I
- A. Gravitational constant $(G)$
- B. Gravitational potential energy
- C. Gravitational potential
- D. Gravitational intensity
Column II
- i. $[L^{2}T^{2}]$
- ii. $[M^{-1}L^{3}T^{-2}]$
- iii. $[LT^{-2}]$
- iv. $[ML^{2}T^{-2}]$
Correct answer: A → ii, B → iv, C → i, D → iii
Explanation
$[G] = [Fr^{2}/(m_{1}m_{2})] = MLT^{-2}L^{2}/M^{2} = M^{-1}L^{3}T^{-2}$ $[U] = [W] = ML^{2}T^{-2}$. $[V] = [U/M] = ML^{2}T^{-2}/M = L^{2}T^{-2}$. $[I] = [F/M] = LT^{-2}$