The dimensions of gravitational constant G and the moment of inertia are, respectively

Options

A. `[ML^(3)T^(-2)],[ML^(2)T^(0)]`
B. `[M^(-1)L^(3)T^(-2)],[ML^(2)T^(0)]`
C. `[M^(-1)L^(3)T^(-2)],[M^(-1)L^(2)T]`
D. `[ML^(3)T^(-2)],[M^(-1)L^(2)T]`

Answer

B

Explanation

We know that gravitational force
`F=(Gm_(1)m_(2))/(d^(2)) " "rArr G = (Fd^(2))/(m_(1)m_(2))`
`[G] =([MLT^(-2)][L^(2)])/([M^(2)])`
Moment of inertia `I = mk^(2) = [ML^(2)]`
where k = radius of gyration.