A solid sphere of radius R is rotating about an axis passing through its centre with a time period 0.5 seconds. During the rotation, if the sphere suddenly changes into a solid cylinder of height R3such that axis of cylinder coincides with axis of rotation, the time period of rotation of cylinder is

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answer is 3.

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Detailed Solution

Iω=I×2πT=constantT∝ΙI1I2=2/5R2R22/2 and 43πR3=πR22×R3⇒R2=2R∴T1T2=15⇒T2=2.5 sec

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