Question

Consider the barometer shown in figure. Density of mercury is $\rho$. A small hole is made at point S as shown. The mercury comes out from this hole with speed $v$ equal to :

• A. $\sqrt{2gh}$
• B. $\sqrt{2gH}$
• C. $\sqrt{2g(H-h)}$
• D. None of these

Answer 1

The correct option is A $\sqrt{2gh}$

According to Bernoulli's equation,

$\rho gh+P_0+=0+P_0+\frac{1}{2}\rho v^{2}v=\sqrt{2gh}$