The bulk modulus of water if its volume changes from `100litres` to `99.5` litre under a pressure of `100atm` is (Take `1atm=10^5Nm^-2`)

Options

A. `2xx10^7Nm^-2`
B. `2xx10^8Nm^-2`
C. `2xx10^9Nm^-2`
D. `2xx10^(10)Nm^-2`

Answer

C

Explanation

According to definition of bulk modulus,
`B=-(P)/((triangleV)/(V))`
here, `P=100atm=100xx10^5Nm^-2=10^7Nm^-2`
`triangleV=(99.5-100)litre=-0.5lietre`
`V=100litre`
`B=-(10^7Nm^-2)/(((0.5litre)/(100)))=20+10^9Nm^-2`