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Question: There is no change in the volume of a wire due to change in its length on stretching. The Poisson’s ...

There is no change in the volume of a wire due to change in its length on stretching. The Poisson’s ratio of the material of the wire is

A
  • 0.50
B

– 0.50

C
  • 0.25
D

– 0.25

Answer

– 0.50

Explanation

Solution

=(1+2σ)dLL= ( 1 + 2 \sigma ) \frac { d L } { L }= 0 [As there is no change in the volume of the wire]

1+2σ=0\therefore 1 + 2 \sigma = 0σ=12\sigma = - \frac { 1 } { 2 }