1.

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. \[{{I}_{A}}/{{I}_{B}}={{\rho }_{A}}={{\rho }_{B}}\]
Answer» D. \[{{I}_{A}}/{{I}_{B}}={{\rho }_{A}}={{\rho }_{B}}\]


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