Question

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

• 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

Answer 1

Answer: (A)

Radius of gyration of a body about a given axis is equal to
$K = \frac{\sqrt{r_{1}^{2} +r_{2}^{2} +......r_{n}^{2}}}{n}$
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.