Question

A uniform cube is subjected to volume compression. If each side is decreased by 1%, then bulk strain is</br>

• A. 0.01
• B. 0.06
• C. 0.02
• D. 0.03

Answer 1

The correct option is D

0.03

If side of the cube is L then $V=L^3\Rightarrow \frac{dV}{V}=3\frac{dL}{L}$
$\therefore \%$ change in volume = $3\times (\%$ change in length$)$
$=3\times 1\%=3\%\therefore Bulkstrain\frac{△V}{V}=0.03$