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The radius of gyration of an uniform rod...

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

A

`l/sqrt 2`

B

`l/3`

C

`l/sqrt 3`

D

`l/2`

Text Solution

Verified by Experts

The correct Answer is:
C
Moment of inertia of rod of mass M and length l about its axis passing through one of its ends and perpendicular to its is
`I =1/3Ml^(2)`,
As I`=Mk^(2)` where k is the radius of the gyration
`therefore Mk^(2)=1/3Ml^(2)` or `k=l/sqrt(3)`
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