Question

Here are the choices for 20 points

a. s
b. kg/m*s^2
c. m
d. m/s

Answer 1

∴ The unit of B is =
`(kg)/(m * s^(2) )`

Explanation:

Here question is given,

The speed of sound in a fluid

`v=\sqrt{(B)/(\rho) }` (equation 1)

Where,

v = speed of sound in
`(m)/(s)`

B = bulk modulus

And
`\rho` = fluid density in
`(kg)/(m^(3) )`

Square on both side in equation 1 and we get;

`v^(2) =\sqrt{(B)/(\rho) }^(2)`

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

`B=v^(2)  * \rho` (equation 2)

Plug the unit value of v and
`\rho` in equation 2;

`B=( (m^(2) )/(s^(2) ) )/((kg)/(m^(3) ) )`

`B=(kg)/(m * s^(2) )`

∴ The unit of B is =
`(kg)/(m * s^(2) )`