question_answer

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 Here \[{{\rho }_{A}}\]and \[{{\rho }_{B}}\]represent their densities.

A) \[{{I}_{A}}={{I}_{B}}\]         

B) \[{{I}_{A}}>{{I}_{B}}\]

C) \[{{I}_{A}}<{{I}_{B}}\]          

D)        \[{{I}_{A}}/{{I}_{B}}={{\rho }_{A}}={{\rho }_{B}}\]