Question

If the earth is treated as a sphere of radius $R$ and mass $M,$ its angular momentum about the axis of its rotation with period $T$ is.

• A. $\frac{4\pi M{R}^2}{5T}$
• B. $\frac{2\pi M{R}^2}{T}$
• C. $\frac{M{R}^{2}T}{2\pi }$
• D. $\frac{\pi M{R}^2}{T}$

Answer 1

The correct option is A $\frac{4\pi M{R}^2}{5T}$

$L=I\omega =\frac{2}{5}M{R}^2\times \frac{2\pi }{T}$$=\frac{4\pi M{R}^2}{5T}$