Wave Mechanics Question 518
Question: A material has poisson’s ratio 0.50. If a uniform rod of it suffers a longitudinal strain of $ 2\times {{10}^{-3}} $ , then the percentage change in volume is
Options:
0.6
0.4
02
D) Zero
Show Answer
Answer:
Correct Answer: B
Solution:
[b] $ \frac{dV}{V}=(1+2\sigma )\frac{dL}{L} $
$ \frac{dV}{V}=2\times {{10}^{-3}}=2\times {{10}^{-3}} $
$ [ \because \sigma =0.5=\frac{1}{2} ] $
$ \
Therefore $ Percentage change in volume $ =4\times {{10}^{-1}} % $
$ = 0.4%$
BETA
