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Question

Water level is maintained in a cylindrical vessel upto a fixed height H. The vessel is kept on a horizontal plane. At what height above the bottom should a hole be made in the vessel, so that the water stream coming out of the hole strikes the horizontal plane of the greatest distance from the vessel?
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A
h=H2
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B
h=3H2
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C
h=2H3
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D
h=34H
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Solution

The correct option is A h=H2
Let the height of the hole be h, velocity of efflux is v=2g(Hh), time take to reach the bottom is 2hg.
Then, x=2g(Hh)×2hg, which take maximum value when h=H/2.

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