contestada

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?

Respuesta :

Answer:

The Si unit of [tex]B =kg m/s^{2}[/tex]

Explanation:

The velocity of sound in a medium is given by

[tex]v=\sqrt{\frac{B}{\rho }}[/tex]

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

[tex]v^{2}=\frac{B}{\rho }[/tex]

[tex]B=v^{2}\times\rho[/tex]

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

Q&A Education