Assertion :The moment of inertia of a steel sphere is larger than the moment of inertia of a wooden sphere of same radius. Reason: Moment of inertia is independent of mass of the body.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is C Assertion is correct but Reason is incorrect
Moment of inertia depend on how far the mass of body is distributed from the axis.
Thus, it is dependent upon the of mass of the body.
Since the density of a steel sphere is more than that of wooden sphere, it has more mass distributed at equal distances, and hence more moment of inertia.
Hence, Assertion is correct but Reason is incorrect.

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Choose the correct option.

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