Question

An open vessel full of water is falling freely under gravity. There is a small hole in one filee of the vessel as shown in the figure. The water which comes out from the hole at the instant when hole is at height H above the ground, strikes the ground at a distance of $x$ from $P$. Which of the following is correct for the situation described?

• A. The value of x is $2\sqrt{\frac{2hH}{3}}$
• B. The value of x is $\sqrt{\frac{4hH}{3}}$
• C. The value of $x$ can't be computed from information provided
• D. No water comes out from the hole

Answer 1

The correct option is D No water comes out from the hole

Since the whole vessel is falling under gravity, apparent pressure at the hole inside the vessel=$P_0+\rho (g-a)h_1=P_0+\rho (g-g)h_1=P_0$.

The pressure at hole outside the vessel is $P_0$.

Since there is no pressure difference, no water comes out of the hole.