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Question

Statement-1: The moment of inertia of a rigid body reduces to its minimum value as compared to any other parallel axis when the axis of rotation passes through its centre of mass.
Statement-2: The weight of a rigid body always acts through its centre of mass in uniform gravitational field.

A
Statement-1 is true, Statement-2 is true and Statement-2 is correct explanation for Statement-1.
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B
Statement-1 is true, Statement-2 is true and Statement-2 is NOT the correct explanation for Statement-1.
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C
Statement-1 is true, Statement-2 is false.
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D
Statement-1 is false, Statement-2 is true.
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Solution

The correct option is C Statement-1 is true, Statement-2 is true and Statement-2 is NOT the correct explanation for Statement-1.
Moment of inertia about its centroidal axis has a minimum value as the centroidal axis has mass evenly distributed around it thereby providing minimum resistance to rotation as compared to any other axis. Also the statement-2 is correct but is not the correct explanation for statement-1.

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