When a rubber ball is taken to a depth of $......\,{m}$ in deep sea, its volume decreases by $0.5\, \%$
(The bulk modulus of rubber $=9.8 \times 10^{8}\, {Nm}^{-2}$ Density of sea water $=10^{3} {kgm}^{-3}$
$\left.{g}=9.8\, {m} / {s}^{2}\right)$
JEE MAIN 2021, Medium
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$B=-\frac{\Delta P}{\left(\frac{\Delta V}{V}\right)}=-\frac{\rho g h}{\left(\frac{\Delta V}{V}\right)}$
$-\frac{B \frac{\Delta V}{V}}{\rho g}=h$
$\frac{9.8 \times 10^{8} \times 0.5}{100 \times 10^{3} \times 9.8}=h$
$h=500$
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