If the compressibility of water is `sigma` per unit atmospheric pressure, then the decrease in volume V due to atmospheric pressure P will be

Options

A. `sigma p//V`
B. `sigma pV`
C. `sigma //pV`
D. `sigma V//P`

Answer

b

Explanation

`B = (p)/((Delta V)/(V))` or `(1)/(B) = (Delta V / V)/(p)`
`implies sigma = (Delta V)/(pV)` or `Delta V = sigma p V`