Match List-I with List-II.
$$\begin{array}{|l|l|l|l|}\hline & \text{List-I} & & \text{List-II} \\ \hline \text{A.} & \text{Gravitational constant} & \text{I.} & [LT^{-2}] \\ \hline \text{B.} & \text{Gravitational potential energy} & \text{II.} & [L^2T^{-2}] \\ \hline \text{C.} & \text{Gravitational potential} & \text{III.} & [ML^2T^{-2}] \\ \hline \text{D.} & \text{Acceleration due to gravity} & \text{IV.} & [M^{-1}L^3T^{-2}] \\ \hline \end{array}$$
Choose the correct answer from the options given below:
Answer: (A) A-IV, B-III, C-II, D-I
- A. $G = \dfrac{Fr^2}{m^2}$: $\dfrac{MLT^{-2}\cdot L^2}{M^2} = M^{-1}L^3T^{-2}$ → IV
- B. Potential energy is an energy: $ML^2T^{-2}$ → III
- C. Potential = energy per unit mass: $L^2T^{-2}$ → II
- D. $g$ is an acceleration: $LT^{-2}$ → I
Solution by Sreeraj P, M.Sc Physics