Question

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

• A. $\sqrt{400}m/s$
• B. $\sqrt{200}m/s$
• C. $\sqrt{600}m/s$
• D. $\sqrt{500}m/s$

Answer 1

The correct option is C $\sqrt{600}m/s$

According to bernaulis equation.

$P+\rho gh+O=P_0+\rho gh+\frac{1}{2}{\rho V}^2$

$\Rightarrow \frac{1}{2}{\rho V}^2=3\times {10}^{5}Pa$

$V=\sqrt{600}m/s$