Question

One solid sphere $A$ and another hollow sphere $B$ are of same mass and same outer radii. Their moment of inertia about their diameters are respectively $I_A$ and $I_B$ such that Where $d_A$ and $d_B$ are their densities

• A. $I_A = I_B$
• B. $I_A > I_B$
• C. $I_A < I_B$
• D. $\frac {I_A}{I_B} = \frac {d_A}{d_B}$

Answer 1

Answer: (C)

$I_A < I_B$

Answer 2

Moment of inertia of a uniform density solid sphere, $A = \frac{2}{5}MR^{2}$ And of hollow sphere $B = \frac{2}{3}MR^{2}$ Since M and R are same, $I_{A} < I_{B}.$