Q100 / 180 · AIIMS 2016 · Physics

Assertion : Value of radius of gyration of a body depends on axis of rotation. Reason : Radius of gyration is root mean square distance of particle of the body from the axis of rotation.

  • Correct answer
    A
    If both assertion and reason are true and reason is the correct explanation of assertion.
  • B
    If both assertion and reason are true but reason is not the correct explanation of assertion.
  • C
    If assertion is true but reason is false.
  • D
    If both assertion and reason are false.

Solution

Radius of gyration of a body about a given axis is equal to $k=\frac{\sqrt{r_1^2+r_2^2+\ldots \ldots r_n^2}}{n}$. It thus depends upon shape and size of the body, position and configuration of the axis of rotation and also on distribution of mass of body w.r.t. the axis of rotation.

Hence, the correct answer is option: 'A'.

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