Question

There is a hole at the bottom of a large open vessel. If water is filled upto a height $h$, it flows out in time $t$. If water is filled to a height $4h$, it will flow out in time.

• A. $\frac{t}{3}$
• B. $\frac{t}{4}$
• C. $3t$
• D. $2t$

Answer 1

The correct option is D $2t$

$\text{We know that}$

$V_i=\sqrt{2gh}$

$\text{and}$

$V_f=0$

$\text{so}$

$V_f=V_i-gt$

$V_i=gt$

$t=\sqrt{\frac{2h}{g}}$

$t_2=\sqrt{\frac{2\times 4h}{g}}$

$t_2=2t$

Answer:- $\left(D\right)$