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A copper wire of negligible mass, length l and cross-section A is kept on a smooth horizontal table with one end fixed. A ball of mass m is attached to the other end. The wire and the ball are rotating with an angular velocity ω. if elongation in the wire is ∆l, obtain the expression for the Young’s modulus.

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When the ball attached at one end of wire is rotating, then the restoring force in the wire is equal to the centripetal force on the ball.

Centripetal force (F) = mrω2 = mlω2 ..........(1)

the ball attached at one end of wire is rotating,

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