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Mechanical Properties Of Fluids

Question
CBSEENPH11018958

A tank is filled with liquid upto height H. There is an orifice at a depth h below the surface of water as shown. Find the ratio H/h so that horizontal range is maximum.


Solution
Horizontal distance at which liquid strikes the ground is,
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If R (horiozontal range) is maximum, then R2 is  also maximum.
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rightwards double arrow space space space space space space space straight H minus 2 straight h equals 0

rightwards double arrow space space space space space space space straight H over straight h equals 2