Question

A tank is filled with water. There is a hole in the bottom. At the bottom total pressure is $3atm(1atm={10}^{5}N/m^2)$, then, the velocity of water flowing from hole is :

• A. 10 m/s
• B. 20 m/s
• C. 15 m/s
• D. 25 m/s

Answer 1

The correct option is B 20 m/s

At bottom of tank

$\rho =h\rho g=3\times {10}^{5}N/m^2$

Pressure due to liquid column

${\rho }_1=3\times {10}^5-1\times {10}^5=2\times {10}^5$

Velocity of water $v=\sqrt{2gh}$

$v=\sqrt{\frac{2{\rho }_1}{\rho }}=\sqrt{\frac{2\times 2\times {10}^5}{{10}^3}}$

$=20m/s$