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

The Si unit of
`B =kg m/s^(2)`

Step-by-step explanation:

The velocity of sound in a medium is given by

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

`B=v^(2)*\rho`

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