Two solid spheres A and B each of radius R are made of materials of densities ρA and ρB respectively….

Q: Two solid spheres A and B each of radius R are made of materials of densities ρ_A and ρ_B respectively. Their moments of inertia about a diameter are I_A and I_B respectively. The value of I_A / I_B is

Sol: $\large \frac{I_A}{I_B} = \frac{\frac{4}{3}\pi R^3 \rho_A}{\frac{4}{3}\pi R^3 \rho_B}$

$\large \frac{I_A}{I_B} = \frac{\rho_A}{\rho_B} $