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  • In the figure shown, the heavy cylinder (radius R ) resting on a smooth surface separates two liquids of densities <img alt="\mathrm{2 \rho}" src="https://entrancecorner.oncodecogs.com/gif.lat

In the figure shown, the heavy cylinder (radius R ) resting on a smooth surface separates two liquids of densities \mathrm{2 \rho}  and \mathrm{3 \rho}. The height ' h ' for the equilibrium of cylinder must be

Option: 1

\mathrm{3 R / 2}


Option: 2

\mathrm{R \sqrt{\frac{3}{2}}}


Option: 3

\mathrm{\mathrm{R} \sqrt{2}}


Option: 4

\mathrm{\text { None }}


Answers (1)

best_answer

Take area of projection from left

\mathrm{ \begin{aligned} & \frac{2 \rho g \ell h^2}{2}=\frac{3 \rho g \ell \mathrm{R}^2}{2} \\ & \mathrm{~h}=\sqrt{\frac{3}{2}} \cdot \mathrm{R} \end{aligned} }

Posted by

Ritika Harsh

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