Question

A certain pressure ' $P$ ' is applied to $1$ litre of water and $2$ litre of a liquid separately. Water gets compressed to $0.01 \%$ whereas the liquid gets compressed to $0.03 \%$. The ratio of Bulk modulus of water to that of the liquid is $\frac{3}{x}$. The value of $x$ is ________

Answer 1

$ B_{\text {water }}=\frac{-\Delta P}{\left(\frac{\Delta V}{V}\right)}=\frac{-\Delta P}{\frac{0.01}{100}} $
$ B_{\text {liquid }}=\frac{-\Delta P}{\frac{0.03}{100}} $
$ \frac{B_{\text {water }}}{B_{\text {liquid }}}=3 $
$ x=1$