Wave Mechanics Question 516
Question: If in a wire of Young’s modulus Y, longitudinal strain X is produced, then the value of potential energy stored in its unit volume will be
Options:
A) $ YX^{2} $
B) $ 2YX^{2} $
C) $ Y^{2}X/2 $
D) $ YX^{2}/2 $
Show Answer
Answer:
Correct Answer: D
Solution:
[d] $ P.E.=\frac{1}{2}\times stress\times strain\times volume $ or $ ( P.E./volume )=\frac{1}{2}\times ( Y\times strain )( strain ) $
$ =\frac{1}{2}Y{{(strain)}^{2}}=\frac{1}{2}YX^{2} $
BETA
