Mark the wrong statement.

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Question

(C) The correct answer is $C$. For twisting a rod of length $L$ and radius $r$ by an angle $	heta$,the torque required is given by $	au = \frac{\eta

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It is difficult to twist a long rod as compared to a small rod.

Vedclass · Answer

(C) The correct answer is $C$. For twisting a rod of length $L$ and radius $r$ by an angle $	heta$,the torque required is given by $	au = \frac{\eta \pi r^4 	heta}{2L}$,where $\eta$ is the modulus of rigidity. From this relation,we see that $	au \propto \frac{1}{L}$. This means that for a given torque,the angle of twist $	heta \propto L$. Therefore,it is easier to twist a longer rod compared to a shorter rod because the same torque produces a larger angle of twist in a longer rod. Thus,the statement 'It is difficult to twist a long rod as compared to a small rod' is incorrect.

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