# GATE2016-3-34

Two circular shafts made of same material, one solid (S) and one hollow (H), have the same length and polar moment of inertia. Both are subjected to same torque. Here, $\theta _S$ is the twist and $\tau _S$  is the maximum shear stress in the solid shaft, whereas $\theta _H$ is the twist and $\tau _H$ is the maximum shear stress  in the hollow shaft. Which one of the following is TRUE?

1. $\theta _S=\theta _H$ and $\tau _S=\tau _H$
2. $\theta _S>\theta _H$ and $\tau _S>\tau _H$
3. $\theta _S<\theta _H$ and $\tau _S<\tau _H$
4. $\theta _S=\theta _H$ and $\tau _S<\tau _H$

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