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The ratio of lengths of two rods A and B...

The ratio of lengths of two rods A and B of same material is `1:2` and the ratio of their radii is `2:1`, then the ratio of modulus of rigidity of A and B will be

A

`1:1`

B

`8:1`

C

`16 : 1`

D

`4 : 1`

Text Solution

Verified by Experts

The correct Answer is:
A
The modulus of rigidity `(eta)` of the material of the rod is a property of the material. It does not depend upon the dimensions or the change in dimensions of the material. Hence the ratio is 1 : 1.
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