MCQ
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$0.02$
- ✓$0.03$
✓
Answer
Correct option: D.
$0.03$
d
(d) If side of the cube is $L$ then $V = {L^3}$ ==> $\frac{{dV}}{V} = 3\frac{{dL}}{L}$
(d) If side of the cube is $L$ then $V = {L^3}$ ==> $\frac{{dV}}{V} = 3\frac{{dL}}{L}$
$\%$ change in volume $= 3 \times (\% $ change in length$)$
$= 3 \times 1\% = 3\%$ $\therefore$ Bulk strain $\frac{{\Delta V}}{V} = 0.03$
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