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Assertion (A): Angle of twist is proportional to the cube of the member's length.

Reason (R): Angle of twist depends on the torque, the length and the torsional rigidity.

Select the correct answer from the options below.

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

Answer: C

The assertion is false while the reason, though loosely stated, is true. Twist is linear in length, not cubic; it is bending deflection that carries the cube. Doubling a shaft's length doubles its twist under the same torque.

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