The compressibility of water is `4xx10^-5` per unit atmospheric pressure. The decrease in volume of 100 cubic centimetre of water under a pressure of 100 atmosphere will be

Options

A. `0.4 cm^(3)`
B. `0.025 m^(3)`
C. `4 xx 10^(5) cm^(3)`
D. `0.04 cm^(3)`

Answer

a

Explanation

`B = (Delta p)/(Delta V//V)` or `(1)/(B) = (Delta V)/(V Delta P)` or `Delta V = (1)/(B) V Delta p`
`= 4 xx 10^(-5) xx 100 x 100 cm^(3)`
`= 4 xx 10^(-1) cm^(3) = 0.4 cm^(3)`