Wave Mechanics Question 532

Question: A spherical ball contracts in volume by 0.02% when subjected to a pressure of 100 atmosphere. Assuming one atmosphere $ =10^{5}N{{m}^{-2}} $ , the bulk modulus of the material of the ball is

Options:

A) $ 0.02\times 10^{5}N/m^{2} $

B) $ 0.02\times 10^{7}N/m^{2} $

C) $ 50\times 10^{7}N/m^{2} $

D) $ 50\times 10^{9}N/m^{2} $

Show Answer

Answer:

Correct Answer: D

Solution:

[d] $ B=-\frac{\Delta P}{\Delta V/V}=\frac{100\times 10^{5}}{(0.02/100)} $

$ =50\times 10^{9}N/m^{2}s $