JEE MAIN - Physics (2021 - 27th July Evening Shift - No. 27)
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.
Answer
6
Explanation
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$$R = \sqrt {2gh} \times \sqrt {{{(12 - h) \times 2} \over g}} $$
$$\sqrt {4h(12 - h)} = R$$
For maximum R
$${{dR} \over {dh}} = 0$$
$$\Rightarrow$$ h = 6 m
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