MCQ
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$0.02$
- ✓$0.06$
- D$0.12$
✓
Answer
Correct option: C.
$0.06$
c
(c)
(c)
Volume $=(\text { side })^3$
$v=(a)^3$
So $\frac{\Delta V}{V}=\frac{3 \Delta a}{a}$ $\left\{\operatorname{given} \frac{\Delta a}{a}=-2 \%\right\}$
$\therefore \frac{\Delta v}{v}=3 \times-2 \quad \text { Side decreases solve used (-)ve sign }$
$=-6 \%$
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 $0.06$
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