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JEE Main 202127 JulyEvening Shift

Exam: JEE Main
Year: 2021
Date: 27 July
Shift: Evening Shift
Subject: Physics
Chapter: Motion in Two Dimensions

JEE Main 2021 · 27 July · Evening Shift · Physics · Motion in Two Dimensions

The water is filled up to a height of 12m in a tank having vertical...

The water is filled up to a height of

12m

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 stream of water strikes the ground at the maximum range is _____

m

.

The water is filled up to a height of 12m in a tank having vertical sidewalls. A hole is made in one of the walls at a

Correct answer

0

Step-by-step solution

The water is filled up to a height of 12m in a tank having vertical sidewalls. A hole is made in one of the walls at a

$R = \sqrt{2gh} \times \sqrt{\dfrac{( 12 - h ) \times 2}{g}}$

$\sqrt{4h ( 12 - h )} = R$

For maximum $R$

$\dfrac{dR}{dh} = 0$

$⇒ h = 6m$

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