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

Options

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

Answer

A, B, C

Explanation

`F=(Gm_(1)m_(2))/(r^(2))`
`:.G=(Fr^(2))/(m_(1)m_(2))`
`:.` Dimensional formula of `G=(Fr^(2))/(m_(1)m_(2))`
`=(M^(1)L^(1)T^(-2)xxL^(2))/(M^(1)xxM^(1))`
`=M^(-1)L^(3)T^(-2)`