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Poisson's Effect

When a rubber...

Question

When a rubber cord is stretched, the change in volume is negligible compared to the change in its linear dimension. Then poisson's ratio for rubber is

A

infinite

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B

zero

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C

0.5

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D

-1

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Solution

The correct option is B 0.5
By Lame's relation, $ν = \frac{1}{2} - \frac{E}{6 B},$ where $B$ is bulk modulus.
Given, volume change is negligible, thus B tends to infinity. $(B = - V \frac{d P}{d V})$
Thus, $ν = \frac{1}{2}$

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