Question

The moment of inertia of thin rod of linear density $\lambda$ and length l about an axis passing through one end and perpendicular to its length is

• A. $\frac{\lambda l^2}{12}$
• B. $\frac{\lambda l^2}{3}$
• C. $\frac{\lambda l^3}{12}$
• D. $\frac{\lambda l^3}{3}$

Answer 1

The correct option is D $\frac{\lambda l^3}{3}$

$\begin{array}{c}I=\frac{M{l}^2}{3}\\ =\frac{\lambda l^3}{3}\end{array}$

$\therefore$ Option $D$ is correct.