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  • A ball falling in a lake of depth $200 \mathrm{~m}$ shows  a decrease in its volume at the bottom. What is the

A ball falling in a lake of depth $200 \mathrm{~m}$ shows 0.01% a decrease in its volume at the bottom. What is the bulk modulus of the material of the ball?

Option: 1

19.6 \times 10^8 \mathrm{~N} / \mathrm{m}^2


Option: 2

19.6 \times 10^9 \mathrm{~N} / \mathrm{m}^2


Option: 3

19.6 \times 10^{10} \mathrm{~N} / \mathrm{m}^2


Option: 4

19.6 \times 10^{12} \mathrm{~N} / \mathrm{m}^2


Answers (1)

best_answer

\begin{aligned} B=\frac{\Delta P}{\Delta V / V} & =\frac{h \rho g}{0.1 \times 100} \\ & =\frac{200 \times 10^3 \times 9.8}{1 / 1000} \\ B & =19.6 \times 10^8 \mathrm{~N} / \mathrm{m}^2 \end{aligned}

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Riya

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