Question

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

• 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)

$I_A<I_B$

For solid sphere $I_A=\frac{2m{r}^2}{5}$

For hollow sphere $I_B=\frac{2m{r}^2}{3}$

So ,$I_A<I_B$