Assertion (A): The moment of inertia of a ste | vedclass

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(C) The moment of inertia $(I)$ of a solid sphere about its diameter is given by the formula $I = \frac{2}{5}MR^2$, where $M$ is the mass and $R$ is t

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$(A)$ is true but $(R)$ is wrong

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(C) The moment of inertia $(I)$ of a solid sphere about its diameter is given by the formula $I = \frac{2}{5}MR^2$, where $M$ is the mass and $R$ is the radius of the sphere.Since the steel sphere has a higher density than the wooden sphere, for the same radius, the mass of the steel sphere is greater than that of the wooden sphere.Therefore, the moment of inertia of the steel sphere is larger than that of the wooden sphere. Thus, Assertion $(A)$ is true.However, the formula $I = \frac{2}{5}MR^2$ clearly shows that the moment of inertia depends on the mass $(M)$ of the body.Therefore, Reason $(R)$ is false.Hence, the correct option is $(C)$.

Assertion $(A)$: The moment of inertia of a steel sphere is larger than the moment of inertia of a wooden sphere of the same radius.
Reason $(R)$: Moment of inertia is independent of the mass of the body.
The correct one is:

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Assertion $(A)$: The moment of inertia of a steel sphere is larger than the moment of inertia of a wooden sphere of the same radius.Reason $(R)$: Moment of inertia is independent of the mass of the body.The correct one is: