Question

If solid sphere and solid cylinder of same radius and density rotate about their own axis, the moment of inertia will he greater for (L=R):-

• A. Solid sphere
• B. Solid cylinder
• C. Both
• D. Equal both

Answer 1

The correct option is B Solid cylinder

Solution:- (B) Solid cylinder.

As we know that,

Moment of inertia for solid sphere $\left(I_{sphere}\right)=\frac{2}{5}M{R}^2$

Moment of inertia for solid cylinder $\left(I_{cylinder}\right)=M{R}^2$

Therefore,

$I_{cylinder}>I_{sphere}$

Hence the moment of inertia is greater for solid cylinder.