Question

Sound travels in a medium of density 4.2e3 kg/m3 with a speed of 4.le3 m/s. Calculate the bulk modulus of the medium. (1 point) A. 7.06e10 Pa B. 5.194e10 Pa C. 2.259e10 Pa D. 9.736e10 Pa E. 11.287e10 Pa

Answer 1

Answer : The correct option is, (A)
`7.06* 10^(10)Pa`

Explanation :

The formula used for speed of sound wave is:

`v=\sqrt{(B)/(\rho)}`

where,

v = speed of sound wave =
`4.1* 10^3m/s`

`\rho` = density of medium =
`4.2* 10^3kg/m^3`

B = bulk modulus = ?

As the formula is,

`v=\sqrt{(B)/(\rho)}`

Squaring on both the sides, we get:

`B=v^2* \rho`

Now put all the given values in the above formula, we get:

`B=(4.1* 10^3m/s)^2* (4.2* 10^3kg/m^3)`

`B=7.06* 10^(10)Pa`

Therefore, the bulk modulus of the medium is
`7.06* 10^(10)Pa`