Question

A hole is made at the bottom of tank filled with water. If total pressure at bottom is 3 atm (1 atm = 105 N/m²) then velocity of efflux is (Consider area of hole is √3/2 times of cross sectional area of container
(1) 20 m/s (2) 40 m/s (3) 50 m/s (4) 30 m/s​

Answer 1

Answer:

Given information:

*Pressure at the bottom is

Explanation:

The pressure due to liquid column is given as,

Therefore,

$gh=\frac{P-P_0}{\rho}$

Here, ρ is the density of water ($1000\;kg/m^3$) and $P_0$ is the atmospheric pressure.

The flux velocity is give as,

$v=\sqrt{2gh}\\=\sqrt{2\times\frac{(P-P_0)}\rho}$

Substituting all known values,

$v=\sqrt{2\times\frac{3\times10^5-10^5}{1000}}\\=\sqrt{400}\\=20 m/s$

Hence, option 1 is the correct answer.