# The moment of inertia of a uniform

Question:

The moment of inertia of a uniform cylinder of length $\ell$ and radius $\mathrm{R}$ about its perpendicular bisector is I. What is the ratio $\ell / R$ such that the moment of inertia is minimum ?

1. 1

2. $\frac{3}{\sqrt{2}}$

3. $\sqrt{\frac{3}{2}}$

4. $\frac{\sqrt{3}}{2}$

Correct Option: , 3

Solution: