Question

A cylindrical vessel of $90$ cm height is kept filled up to the brim. It has four holes 1, 2, 3 and 4 which are, respectively, at heights of $20$ cm, $30$ cm, $40$ cm and $50$ cm from the horizontal floor $PQ$. The water falling at the maximum horizontal distance from the vessel comes from

• A. hole number 4
• B. hole number 3
• C. hole number 2
• D. hole number 1

Answer 1

Answer: (A), (B)

hole number 3

$v=\sqrt{2gh}$, where $h$ is the height of the hole from the top.
Horizontal distance,
$x=vt=\sqrt{2gh}\sqrt{\frac{2(H-h)}{g}}$
$=2\sqrt{h(H-h)}$

The maximum horizontal distance from the vessel comes from hole numbers $3$ and $4$.