Wave Mechanics Question 875

Question: Speed of sound in mercury at a certain temperature is 1450 m/s. Given the density of mercury as 13.6 ´ 103 kg / m3, the bulk modulus for mercury is

[JIPMER 2000]

Options:

A) 2.86 ´1010 N/m3

B) 3.86 ´1010 N/m3

C) 4.86 ´1010 N/m3

D) 5.86 ´1010 N/m3

Show Answer

Answer:

Correct Answer: A

Solution:

$ v=\sqrt{\frac{K}{\rho }} $ \ $ K=v^{2}\rho =2.86\times 10^{10}N/m^{3} $