The bulk modulus of water is `2.1xx10^(9) Nm^(-2)`. The pressure required ot increase the density of water by 0.1% is

Options

A. `2.1 xx 10^(3) Nm^(-2)`
B. `2.1 xx 10^(6) Nm^(-2)`
C. `2.1 xx 10^(5) Nm^(-2)`
D. `2.1 xx 10^(7) Nm^(-2)`

Answer

B

Explanation

(b) We have`drho=(rho)/(B).dp` or `(drho)/(rho)=(dp)/(B)implies(0.1)/(100)=(dp)/(2.1xx10^(9))`
`therefore` The pressure required to increase the density
`dp=2.1xx10^(6) Nm^(-2)`