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:
A) 0.6
B) 0.4
C) 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 2\times {{10}^{-3}}=4\times {{10}^{-3}} $
$ [ \because \sigma =0.5=\frac{1}{2} ] $
$ \
Therefore $ Percentage change in volume $ =4\times {{10}^{-1}} $
$ =0.4% $
BETA
