Question

The speed v of a sound wave traveling in a medium that has bulk modulus b and mass density ρ (mass divided by the volume) is v=bρ−−√ . what are the units of the bulk modulus in si base units?

Answer 1

As it is given that Bulk modulus  and density related to velocity of sound

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

by rearranging the equation we can say

$B = \rho * v^2$

now we need to find the SI unit of Bulk modulus here

we can find it by plug in the units of density and speed here

$B = \frac{kg}{m^3} * (\frac{m}{s})^2$

so SI unit will be

$B = \frac{kg}{m* s^2}$

SO above is the SI unit of bulk Modulus

Answer 2

The unit of bulk modulus in SI base units is kg/m.s².

What is Bulk Modulus?

The change in the volume of a body produced by compressive or tensile stress acting uniformly over its surface.

The velocity is related to the Bulk modulus as

v =√(B/ρ)

On rearranging,

B= v² x ρ

Units of velocity v= m/s and density ρ =kg/m³

Then the units of Bulk modulus will be

B =(m/s)² x kg/m³

B = kg/m.s²

Thus, the unit of bulk modulus is  kg/m.s².

Learn more about bulk modulus.

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