Direction: 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, θS is the twist and τS is the maximum shear stress in the solid shaft, whereas θS is the twist and τH is the maximum shear stress in the hollow shaft.
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Which one of the following is TRUE?
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- θS = θH and τs = τH
- θS > θH and τs > τH
- θS < θH and τs < τH
- θS = θH and τs < τH
Correct Option: B
| θS = | (solid) | CJ |
| θH = | (hollow) | CJ |
θS = θH = 0
Since material length, polar moment of inertia and applied torque all are same.
| τS = | × rS (or) τS ∝ rS | J |
| τH = | × rH (or) τH ∝ rH | J |
∴ JH = JS
