The compressibility of water is $6 \times 10^{-10} N ^{-1} m ^{2} .$ If one litre is subjected to a pressure of $4 \times 10^{7} Nm ^{-2}$ the decrease in its volume is (in $cc$)
AIIMS 2019, Medium
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The formula for the bulk modulus is,
$\beta=\frac{-P}{\Delta V / V}$
The formula for the compressibility is,
$K=\frac{1}{\beta}=-\frac{\Delta V}{V P}$
Rewrite the above equation.
$-\Delta V=K P V$
Substitute the values in the above equation.
$-\Delta V=\left(6 \times 10^{-10}\right) \times\left(4 \times 10^{7}\right) \times 1$
$=24 \times 10^{-3} L$
$=24 cc$
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