Question

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

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

Answer 1

The correct option is D $0.03$

${\epsilon }_b=-\frac{\Delta V}{V}$

$V=a^3$

$\frac{\Delta V}{V}=3\left(\frac{\Delta a}{a}\right)$

$⟹\begin{array}{cc}{\epsilon }_b& =\frac{-\Delta V}{V}\\ & =\frac{3}{100}=0.03\end{array}$