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

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

0.03

Explanation

Solution

Volume of cube V=L3V = L^{3} ∴ Percentage change in V=3V = 3× (percentage change in L)= 3(1%)=3%(1\%) = 3\%

ΔV=3%\therefore\Delta V = 3\% of V ⇒ Volumetric strain =ΔVV=3100=0.03= \frac{\Delta V}{V} = \frac{3}{100} = 0.03