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Q)

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

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

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A)
Bulk modulus
$B= \large\frac{-\Delta PV}{$\Delta V}$
$\Delta P=h \rho g$
$\qquad= 200 \times 10^3 \times 10$
$\qquad= 2 \times 10^5 N/m^2$
$\large\frac{\Delta V}{V}=\large\frac{0.1}{100}$
$\qquad=10^{-3}$
$B= \large\frac{2 \times 10^6}{10^3}$
$\qquad= 2 \times 10^9 N/m^2$
Hence a is the correct answer

 

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