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When the length of a wire is increased b...

When the length of a wire is increased by 5%, its radius decreases by 1%. The Poission's ratio for the material of the wire is

A

`0.1`

B

`0.3`

C

`0.75`

D

`0.2`

Text Solution

Verified by Experts

The correct Answer is:
D
Given : `(delta L)/(L) = 5%` and `(delta r)/(r ) = 1%`
Poisson's ratio `(sigma) = ((delta D)/(D))/((delta L)/(L)) = ((1)/(100))/((5)/(100)) = (1)/(5) = 0.2`
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