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Question

Two rods A and B of the same material and length have their radii r1 and r2 respectively. When they are rigidly fixed at one end and twisted by the same couple applied at the other end, the ratio [Angle of twist at the end of AAngle of twist at the end of B] is:

A
r21/r22
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B
r31/r32
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C
r42/r41
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D
r41/r42
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Solution

The correct option is C r42/r41
Couple per unit angle of twist, C=πηr42l
Couple =Cθ=πηr4θ2l
Here η,l,C &are same. So, r4θ= constant
θ1θ2=[r42r41]

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