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  • A material has Poisson's ratio 0.5 . If a uniform rod of it suffers a longitudinal strain of <img alt="2 \times 10^{-3}" src="https://entrancecorner.oncodecogs.com/gif.latex?2%20%5Ctimes%2

A material has Poisson's ratio 0.5 . If a uniform rod of it suffers a longitudinal strain of 2 \times 10^{-3}. The percentage change in its volume is-

Option: 1

5%


Option: 2

10%


Option: 3

12%


Option: 4

0%


Answers (1)

best_answer

Use,

\ \begin{aligned} \frac{\Delta V}{V} \times 100 & =\frac{\Delta l}{l}(1-2 \sigma) \\ & =\frac{\Delta l}{l}(1-2 \times 0.5) \\ & =\frac{\Delta l}{l}(1-1)=0 \% \end{aligned}

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Rishabh

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