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

speed of sound will be 1256 m/sec

Step-by-step explanation:

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

And bulk modulus
`\beta =1.42* 10^5Pa`

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

`v=\sqrt{(\beta )/(\rho )}`, here
`\beta` is bulk modulus and
`\rho` is density

So speed will be
`v=\sqrt{(1.42* 10^5)/(0.09 )}=12.56* 10^2=1256m/sec`

So speed of sound will be 1256 m/sec