One solid sphere A and another hollow sphere B are of same mass and same outer radii. Their moments of inertia about their diameters are respectively `I_(A)` and `I_(B)` such that
where `d_(A)` and `d_(B)` are their densities .

Options

A. `I_(A) = I_(B)`
B. `I_(A) gt I_(B)`
C. `I_(A) lt I_(B)`
D. `(I_(A))/(I_(B)) = (d_(A))/(d_(B))`

Answer

C

Explanation

Let M and R be the mass and outer radius of