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AIIMS 2016
Exam
AIIMS
Year
2016
Subject
Physics
Chapter
Rotational Motion

AIIMS 2016 · Physics · Rotational Motion

Assertion : Value of radius of gyration of a body depends on axis...

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.

Options

  1. AIf both assertion and reason are true and reason is the correct explanation of assertion.
  2. BIf both assertion and reason are true but reason is not the correct explanation of assertion.
  3. CIf assertion is true but reason is false.
  4. DIf both assertion and reason are false.

Correct answer

A. If both assertion and reason are true and reason is the correct explanation of assertion.

Step-by-step solution

Radius of gyration of a body about a given axis is equal to k=r12+r22+……rn2nk=\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.
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