The compressibility of water is `6xx10^-10N^-1m^2`. If one litre is subjected to a pressure of `4xx10^7Nm^-2`, The decrease in its volume is

Options

A. 10 cc
B. 24 cc
C. 15 cc
D. 12 cc

Answer

B

Explanation

Bulk modulus `B=-(P)/((DeltaV//V))`
`-ve` sign shows that with a increase in pressure, a decrease in volume occurs.
Compressibility, `K=(1)/(2)=-(triangleV)/(PV)`
Decrease in volume, `triangleV=PVK`
`=4xx10^7xx1xx6xx10^-10`
`=24xx10^-3litre`
`=24xx10^(-3)10^3cm^3=24c c`