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Question

A tank is filled with water upto a height H. Water is allowed to come out of a hole P in one of the walls at some depth below the surface of water. The maximum horizontal distance x is

A
H2
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B
3H2
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C
H
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D
None of these
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Solution

The correct option is C H
Speed of efflux, u=2gh
Range, x=u2(Hh)g

x=2gh2(Hh)g
x2=4(Hh)h=4[Hhh2]
d(x2)dh=4[H2h]=0
h=H/2
xmax=2g×H22(HH2)g=H

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