Wave Mechanics Question 520

Question: When a force is applied on a wire of uniform cross-section area $ 3\times {{10}^{-6}}m^{2} $ and length 4m, the increase in length is 1 mm. Energy stored in it will be ( $ Y=2\times 10^{11}N/m^{2} $ )

Options:

A) 6250J

B) 0.177J

C) 0.075 J

D) 0.150J

Show Answer

Answer:

Correct Answer: C

Solution:

[c] $ e=\frac{\Delta Y}{\ell }=\frac{1\times {{10}^{-3}}}{4} $

$ u=\frac{e^{2}y}{2}={{( \frac{{{10}^{-3}}}{4} )}^{2}}\times \frac{2\times 10^{11}}{2}=0.075J $