Physics Elasticity Question 21

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

[EAMCET (Engg.) 1995; DPMT 2000]

Options:

A) 0.01

B) 0.06

C) 0.02

D) 0.03

Show Answer

Answer:

Correct Answer: D

Solution:

If side of the cube is L then $ V=L^{3} $

Therefore $ \frac{dV}{V}=3\frac{dL}{L} $ \ % change in volume = 3 × (% change in length) = 3 × 1% = 3% \ Bulk strain $ \frac{\Delta V}{V}=0.03 $