AIIMS2001Physics-Rotational Motion

AIIMS 2001 Physics Angular Momentum MCQ Question

Type: MCQ-numerical-Hard-Class 11

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

MR2T2π\frac{MR²T}{2\pi}

B

4πMR25T\frac{4\pi MR²}{5T}

C

πMR3T\frac{\pi MR³}{T}

D

2πMR2T\frac{2\pi MR²}{T}

Correct Answer

Option B

Detailed Explanation

The angular momentum L is given by Iω, where I is the moment of inertia (25MR2\frac{2}{5}MR²) and ω is the angular velocity (2πT\frac{2\pi}{T}).

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