Question

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

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Answer 1

Answer:

............?....................................

Answer 2

The bulk modulus for mercury is $= 2.86 \times 10^{10}$ $\frac{N}{m^{3} }$

Explanation:

Given :

Speed of sound in mercury $v = 1450 \frac{m}{s}$

Density of mercury $\rho = 13.6 \times 10^{3}$ $\frac{kg}{m}$

From the equation of speed in different media,

 $v = \sqrt{\frac{K}{\rho} }$

Where $K =$ bulk modulus

Velocity is increase as bulk modulus is increase,

 $K = v^{2} \rho$

     $= (1450)^{2} \times 13.6 \times 10^{3}$

     $= 2.86 \times 10^{10}$ $\frac{N}{m^{3} }$