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A 25 kg uniform solid sphere with a 20 cm radius is suspended by a vertical wire such that the point of suspension is vertically above the centre of the sphere. A torque of 0.10 N-m is required to rotate the sphere through an angle of 1.0 rad and then maintain the orientation. If the sphere is then released, its time period of the oscillation will be :

(A) π second

(B) √2 second

(C) 2π second

(D) 4π second

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Correct option (D) 4π second


where k is torsional constant of the wire.

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