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  • In a cylindrical vessel containing liquid of density , there are two holes in the side walls a

In a cylindrical vessel containing liquid of density \mathrm{\rho}, there are two holes in the side walls at heights of \mathrm{h_1} and \mathrm{h_2} respectively such that the range of efflux at the bottom of the vessel is same. The height of a hole, for which the range of efflux would be maximum will be.

Option: 1

\mathrm{h_2-h_1}


Option: 2

\mathrm{h_2+h_1}


Option: 3

\mathrm{\frac{\mathrm{h}_2-\mathrm{h}_1}{2}}


Option: 4

\mathrm{\frac{\mathrm{h}_2+\mathrm{h}_1}{2}}


Answers (1)

best_answer

\mathrm{\begin{aligned} & R=\sqrt{2 g\left(H-h_1\right)} \sqrt{\frac{2 h_1}{g}} \\ & =\sqrt{2 g\left(H-h_2\right)} \sqrt{\frac{2 h_2}{g}} \\ & \left(H-h_1\right) h_1=\left(H-h_2\right) h_2 \\ & H=h_1+h_2 \end{aligned}}

Posted by

Irshad Anwar

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