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# The volume of solid rubber ball when it is carried from surface of 200 m deep lake decreases by $0.1\%$ The value for bulk modulus elasticity of rubber will be

$\begin {array} {1 1} (a)\;2 \times 10^9 \;Pa \\ (b)\;2 \times 10^6\;Pa \\ (c)\;2 \times 10^4\;Pa \\ (d)\;2 \times 10^{-4}\;Pa \end {array}$

$B= \large\frac{-\Delta PV}{$\Delta V}\Delta P=h \rho g\qquad= 200 \times 10^3 \times 10\qquad= 2 \times 10^5 N/m^2\large\frac{\Delta V}{V}=\large\frac{0.1}{100}\qquad=10^{-3}B= \large\frac{2 \times 10^6}{10^3}\qquad= 2 \times 10^9 N/m^2\$