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Physics - Elasticity Question with Solution | TestHub

PhysicsElasticityMiscellaneousMedium2 minQB

PhysicsMediumsingle choice

A solid cylindrical rod of length $L$ , radius $r$ and shear modulus $η$ is clamped at one end. A torque $τ$ twists the other end through $θ$ . The twist is proportional to:

Options:

Answer:

Solution:

For a solid circular rod the polar moment is $J = \frac{π r ^{4}}{2}$ .

$θ = \frac{τL}{η J}$

$θ = \frac{2 τL}{π η r ^{4}}$

So $θ \propto \frac{τL}{π η r ^{4}}$ , which is option D.

Stream:JEESubject:PhysicsTopic:ElasticitySubtopic:Miscellaneous

⏱ 2mℹ️ Source: QB

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