Wave Mechanics Question 636

Question: The bulk modulus of a liquid of density 8000 kg $ 8000kg,{{m}^{-3}} $ is $ 2\times 10^{9}N,{{m}^{-2}} $ . The speed of sound in that liquid is ( $ in,m,{{s}^{-1}} $ )

Options:

A) 200

B) 250

C) 100

D) 500

Show Answer

Answer:

Correct Answer: D

Solution:

[d] The speed of sound in liquid, $ v=\sqrt{\frac{k}{\rho }}=\sqrt{\frac{2\times 10^{9}}{8000}}=\sqrt{\frac{1}{4}\times 10^{6}} $

$ v=\frac{1}{2}\times 10^{3}=500m,{{s}^{-1}} $