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  • A hole is made at the bottom of the tank filled with water (density=100 kg/). If the total pressure at the botto

A hole is made at the bottom of the tank filled with water (density=100 kg/m^{3}). If the total pressure at the bottom of the tank is three atmospheres(1 atm=10^{5} N/m^{2}), then the velocity of efflux-

Option: 1

\sqrt400 m/s


Option: 2

\sqrt200 m/s


Option: 3

\sqrt600 m/s


Option: 4

\sqrt500 m/s


Answers (1)

best_answer

Difference in pressure energy = Difference in kinetic energy

$$ \therefore \quad\left(P_0-P_0\right)=\frac{1}{2} \rho v^2\\\\ \begin{aligned} or\ v=2 \sqrt{\frac{P_0}{\rho}} & =2 \sqrt{\frac{10^5}{10^3}} \\ & =2 \times 10^1=20 \mathrm{~m} / \mathrm{s} \text { or } \sqrt{400} \end{aligned}

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Sanket Gandhi

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