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Question

Two wires A and B of same length and of the same material have the respective radii r1 and r2. Their one end is fixed with a rigid support, and at the other end equal twisting couple is applied. Then the ratio of the angle of twist at the end of A and the angle of twist at the end of B will be

A
r21r22
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B
r22r21
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C
r42r41
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D
r41r42
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Solution

The correct option is C r42r41
r1=r2πηr41θ12l1=πηr42θ22l2θ1θ2=(r2r1)4
When strain is unity then Young's modulus is equal to stress.

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