The bulk modulus of a liquid of density 8000 `"kgm"^(-3)` is `2 xx 10^(9) "Nm"^(-2)`. The speed of sound in that liquid is (in `"ms"^(-1)` )

Options

A. 200
B. 250
C. 100
D. 500

Answer

D

Explanation

Given, `rho = 8000 "kgm"^(-3) and B = 2 xx 10^(9) "Nm"^(-2)`
We know the velocity of sound in liquid is
`v = sqrt( (B)/( p))`
`v = sqrt( (2 xx 10^9)/( 8000) )`
`v= sqrt( (1)/(4) xx 10^6)`
`v= (1000)/(2) = 500 "ms"^(-1)`