Wave Mechanics Question 523
Question: A solid cube is subjected to a pressure of $ 5\times 10^{5}N{{m}^{-2}} $ .Each side of the cube is shortened by 1 %. Find x if $ 1.67\times 10^{x}N/m^{2} $ be the bulk modulus of elasticity of the cube.
Options:
A) 7
B) 11
C) 12
D) 15
Show Answer
Answer:
Correct Answer: A
Solution:
[a] Volumetric strain, $ \frac{\Delta V}{V}=3\times \frac{\Delta \ell }{\ell } $
$ =3\times 0.01=0.03 $ Bulk modulus, $ B=\frac{\Delta P}{(\Delta V/V)}=\frac{5\times 10^{5}}{0.03} $
$ =1.67\times 10^{7}N/m^{2} $
BETA
