The Earth is assumed to be a sphere of radius | vedclass

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(B) The angular momentum $L$ is given by the formula $L = I \omega$,where $I$ is the moment of inertia and $\omega$ is the angular velocity.For a soli

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$\frac{4 \pi MR^2}{5 T}$

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(B) The angular momentum $L$ is given by the formula $L = I \omega$,where $I$ is the moment of inertia and $\omega$ is the angular velocity.For a solid sphere,the moment of inertia about its axis of rotation is $I = \frac{2}{5} MR^2$.The angular velocity $\omega$ in terms of the period of rotation $T$ is given by $\omega = \frac{2 \pi}{T}$.Substituting these values into the angular momentum formula:$L = I \omega = \left( \frac{2}{5} MR^2 \right) \left( \frac{2 \pi}{T} \right)$.Therefore,$L = \frac{4 \pi MR^2}{5 T}$.

The Earth is assumed to be a sphere of radius $R$ and mass $M$ having a period of rotation $T$. The angular momentum of the Earth about its axis of rotation is

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