Write dimensional formula of universal constant of gravitation (G).

Options

A. `MLT`
B. `M^(-1) L T^2`
C. `M^0 L^0 T^0`
D. `M^(-1) L^(3) T^(-2)`

Answer

D

Explanation

`implies F=G(m_1m_2)/(r^2) implies G =(Fr^2)/(m_1m_2)`
`[G] = ([F][r^2])/([m_1] [m_2] ) = (M^(1) T^(-2) xxL^(2))/(M^(1) xxM^(1))`
`[G] = M^(-1) L^(-3) T^(-2)`