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QJEEM21Phd1df: JEE Main 2021 Physics - Class 11 JEEM21Phd1df Solution: The water is filled upto height of 12 m in a tank having…

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.

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JEE Main 2021 (Online) 27th July Evening Shift Physics - Properties of Matter Question 160 English Explanation
R=2gh×(12−h)×2gR = \sqrt {2gh} \times \sqrt {{{(12 - h) \times 2} \over g}}

4h(12−h)=R\sqrt {4h(12 - h)} = R

For maximum R

dRdh=0{{dR} \over {dh}} = 0

⇒\Rightarrow h = 6 m

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