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Assertion (A): A hollow shaft is more efficient in torsion than a solid one of the same weight.

Reason (R): Shear stress in a circular shaft grows in proportion to radius.

Select the correct answer from the options below.

  • A.A is false but R is true
  • B.Both A and R are true, and R is the correct explanation of A
  • C.Both A and R are true, but R is not the correct explanation of A
  • D.A is true but R is false

Answer: B

Both are true and the second explains the first. Material near the axis is lightly stressed and contributes little, so removing it and placing the same mass at a larger radius raises the polar second moment substantially. Drive shafts are tubular for exactly this reason.

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