Wave Mechanics Question 513

Question: A uniform cube is subjected to volume compression. If each side is decreased by 1%, then bulk strain is

Options:

A) 0.01

B) 0.06

C) 0.02

D) 0.03

Show Answer

Answer:

Correct Answer: D

Solution:

[d] If side of the cube is L. then $ V=L^{3} $
$ \Rightarrow \frac{dV}{V}=3\frac{dL}{L} $ % change in volume $ =3\times $ (% change in length) $ =3\times 1%=3% $
$ \

Therefore Bulk,strain\frac{\Delta V}{V}=0.03 $