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When a wire i...

Question

When a wire is subjected to a force along its length, its length increases by $0.4$ % and its radius decreases by $0.2$ %. Then the Poisons ratio of the material of the wire is

A

0.8

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B

0.5

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C

0.2

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D

0.1

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Solution

The correct option is B $0.5$
Poison's ratio $= \frac{Δ d / d}{Δ r / r}$
$= \frac{0.2 / 100}{0.4 / 100}$
$= \frac{1}{2} = 0.5$

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