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JEE Main 2021 (27 Jul, Shift 2) · Velocity of Efflux (Torricelli)

Velocity of Efflux (Torricelli) question from JEE Main 2021 (27 Jul, Shift 2)

Q18JEE Main 2021 · 27 JUL · SHIFT 2Medium

Velocity of Efflux (Torricelli)

The water is filled upto height of 12 m in a tank having vertical sidewalls. A hole is made in one of the walls at a depth 'h' below the water level. The value of 'h' for which the emerging steam of water strikes the ground at the maximum range is ________ m.

Numerical answer type. Work it out, then open the answer.

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Answer: 6

Hole at depth $h$ , height above ground $H - h$ : range $R = 2\sqrt{h(H - h)}$
$R$ is maximum when $h = H - h \Rightarrow h = \frac{H}{2}$
$h = \frac{12}{2} = 6\text{ m}$

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