Question

A uniform cubical block is subjected to volumetric compression, which decreases its each side by $2\%$. The Bulk strain produced in it is

• A. 0.03
• B. 0.02
• C. 0.06
• D. 0.12

Answer 1

Answer: (C)

Volume $=(\text{ side }{)}^3$
$v=(a{)}^3$
So $\frac{\Delta V}{V}=\frac{3\Delta a}{a}$
$\{$ given $\frac{\Delta a}{a}=-2\%\}$
$\therefore \frac{\Delta V}{v}=3\times -2$
Side decreases so we used (-)ve sign
$=-6\%$
We know
$\frac{\Delta v}{V}=-\frac{P}{B}$
Substituting value of $\Delta v/v$
$-\frac{6}{100}=-\frac{P}{B}$
So bulk strain produced is $0.06$