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 is

• A. $4t$
• B. $t/4$
• C. $t/2$
• D. $2t$

Answer 1

The correct option is D $2t$

$v-u=-gt$
$\Rightarrow 0-\sqrt{2gh}=-gt$
$t=\sqrt{\frac{2h}{g}}$

For height $h^1=4h{t}^1=\sqrt{\frac{2\left(4h\right)}{g}}=2t$