A block of mass m is tied to one end of a string of length l, young's modulus Y and cross-sectional area A. The block is made to rotate in a horizontal circle of radius l with angular velocity ω in a gravity free space. If elongation of the wire is x, then elastic potential energy stored in the wire is

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12mω2lx

mω2lx4

12mω2l2

14mω2l2

answer is A.

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Detailed Solution

Centrifugal force acting on the block, F=mω2l.∴ Elongation = x∴ Elastic potential energy =12F.x=mω2lx2

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