Question

A water barrel stands on a table of height h. If a small hole is punched in the side of the barrel at its base, it is found that the resultant stream of water strikes the ground at a horizontal distance R from the table. What is the depth of water in the barrel ?

• A.
• B.
• C.
• D.

Answer 1

Answer: (C)

Answer 2

From Torricelli’s theorem

……. (i)

Where v is horizontal velocity and d is the depth of water in barrel.

Time t to hit the ground is given by

or

$\therefore \mathrm { R } = \mathrm { vt } = \sqrt { ( 2 \mathrm { gd } ) } \sqrt { \frac { 2 \mathrm {~h} } { \mathrm {~g} } } = 2 \sqrt { \mathrm { dh } }$ (Using (i))

or