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) $7.06\times 10^{10}Pa$

Explanation :

The formula used for speed of sound wave is:

$v=\sqrt{\frac{B}{\rho}}$

where,

v = speed of sound wave = $4.1\times 10^3m/s$

$\rho$ = density of medium = $4.2\times 10^3kg/m^3$

B = bulk modulus = ?

As the formula is,

$v=\sqrt{\frac{B}{\rho}}$

Squaring on both the sides, we get:

$B=v^2\times \rho$

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

$B=(4.1\times 10^3m/s)^2\times (4.2\times 10^3kg/m^3)$

$B=7.06\times 10^{10}Pa$

Therefore, the bulk modulus of the medium is $7.06\times 10^{10}Pa$