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The Poisson's ratio of a material is 0....

The Poisson's ratio of a material is 0.5 . If a force is applied to wire of this material, there is a decrease in the cross-section area by `4%`. The perecentage increase in the length is

A

0.01

B

0.02

C

`2.5 %`

D

`4%`

Text Solution

Verified by Experts

The correct Answer is:
D
(d) Poisson's ratio =0.5
Since, density is constant therefore change in volume is zero, we have
`V=Axxl`=constant therefore change in volume is zero, we have
V=log A+log l
or `(dA)/(A)+(dl)/(l)=0`
`(dl)/(l)=-(dA)/(A)`
`therefore` Percentage increase in length =4%
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