STANDARDPhysics-Rotational Motion

STANDARD Physics Radius of Gyration MCQ Question

Type: MCQ-numerical-Medium

The radius of gyration of a uniform rod of length l about an axis passing through one of its ends and perpendicular to its length is

A

l/√2

B

l/3

C

l

D

l/2

Correct Answer

Option A

Detailed Explanation

The moment of inertia of a rod of mass M and length l about its axis passing through one of its ends and perpendicular to it is I = 1/3 Ml². As I = MK² where K is the radius of gyration, solving gives K = l/√2.

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