Question

A sound wave travels through a column of hydrogen at STP. Assuming a density of rho = 0.0900 kg/m3 and a bulk modulus of β = 1.42 ✕ 105 Pa, what is the approximate speed (in m/s) of the sound wave?

Answer 1

Answer:

speed of sound will be 1256 m/sec

Explanation:

We have given density $\rho =0.09kg/m^3$

And bulk modulus $\beta =1.42\times 10^5Pa$

We know that speed of sound in a medium is given by

$v=\sqrt{\frac{\beta }{\rho }}$, here $\beta$ is bulk modulus and $\rho$ is density

So speed will be $v=\sqrt{\frac{1.42\times 10^5}{0.09 }}=12.56\times 10^2=1256m/sec$

So speed of sound will be 1256 m/sec