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  • A body of density is dropped from rest at a height h into a lake of

A body of density \mathrm{\rho^{\prime}} is dropped from rest at a height h into a lake of density \mathrm{\rho,} where \mathrm{\rho>\rho^{\prime}}. Neglecting all disipative froces, calculate the maximum depth to which the body sinks before returning of float on the surface.

Option: 1

\mathrm{\frac{h}{\rho-\rho^{\prime}}}


Option: 2

\mathrm{\frac{h \rho^{\prime}}{\rho}}


Option: 3

\mathrm{\frac{\mathrm{h} \rho^{\prime}}{\rho-\rho^{\prime}}}


Option: 4

\mathrm{\frac{h \rho}{\rho-\rho^{\prime}}}


Answers (1)

best_answer

\mathrm{\begin{aligned} & W_{F B}=\left\{K_B+U_B\right\}-\left\{K_A+U_A\right\} \\\\ & -V \rho x=0+0-0-V^{\prime} \rho^{\prime} g(x+h) \\\\ & \rho g x=\rho^{\prime} g x+\rho^{\prime} g h \\\\ & x=\frac{\rho^{\prime} h}{\rho-\rho^{\prime}} \end{aligned}}

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vinayak

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