If E and G resp. denote energy and gravitational constant then E/G has the dimensions of

Options

A. `[ML^(-1) T^(-1)]`
B. `[ML^(0) T^(0)]`
C. `[M^(2)L^(-2) T^(-1)]`
D. `[M^(2)L^(-1) T^(0)]`

Answer

D

Explanation

`E/G = (F.s)/(((Fr^2)/(m_1m_2)))=(m_1m_2s)/r^2`
`=([M^2L^1])/([L^2])=[M^2L^(-1)T^0]`