A hole is made at the bottom of the tank filled with water (density = 1000 k g / m 3 ). If the excess pressure at the bottom of the tank is three atmospheres (1 atmosphere = 10 5 N / m 2 ), then the v

Question

A hole is made at the bottom of the tank filled with water (density = 1000 k g / m 3 ). If the excess pressure at the bottom of the tank is three atmospheres (1 atmosphere = 10 5 N / m 2 ), then the velocity of efflux is

TestHub · Accepted Answer

The excess pressure at the bottom of the tank, $p = ρ g h = 3$ atm $= 3 \times 10^{5} N / m^{2}$

So, the height of the liquid in container

$h = \frac{3 \times 10^{5}}{10 \times 10^{3}} = \frac{300}{10}$

Now, velocity of efflux $= \sqrt{2 g h} = \sqrt{2 \times 10 \times \frac{300}{10}}$

$= \sqrt{600} m / s$

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