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

Moment of inertia = Mass `xx ("Length")^2 = [ML^2]`
`G=(Fr^2)/(("Mass")^2)=([MLT^(-2)][L^2])/([M^2])=[M^(-1)L^3T^(-2)]`