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MHT CET 2024 (3 May, Shift 2) · Angular Momentum & its Conservation

Angular Momentum & its Conservation question from MHT CET 2024 (3 May, Shift 2)

Q22MHT CET 2024 · 3 MAY · SHIFT 2Easy

Angular Momentum & its Conservation

The earth is assumed to be a sphere of radius ' $R$ ' and mass ' $M$ ' having period of rotation ' $T$ '. The angular momentum of earth about its axis of rotation is

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Answer: (b)

Solid sphere: $I = \tfrac{2}{5}MR^2$ , $\omega = \dfrac{2\pi}{T}$ .
$L = I\omega = \dfrac{2}{5}MR^2 \cdot \dfrac{2\pi}{T} = \dfrac{4\pi MR^2}{5T}$
So the answer is (b).

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