Question

The speed v of a sound wave traveling in a medium that has bulk modulus B and mass density rho (mass divided by the volume) is v=Brho−−√ . What are the units of the bulk modulus in SI base units?

Answer 1

Answer:

The Si unit of $B =kg m/s^{2}$

Explanation:

The velocity of sound in a medium is given by

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

Where, B be the Bulk modulus of the material medium and ρ be the density of the medium.

The SI unit of velocity of sound, v is metre/second

The SI unit for the density of medium, ρ is kg/m³

Substitute these units in the given expression to find the unit of bulk modulus, B

$v^{2}=\frac{B}{\rho }$

$B=v^{2}\times\rho$

The Si unit of $B = {\left (m/s \right )^{2}}\times kg/m^{3}=kg m/s^{2}$