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Water in a tank is filled to a depth H whose side walls are vertical. A hole is made on one of the walls at a depth h below the free surface of water. If R is the distance at which the stream strikes the ground, then

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a

R=2h(H−h)

b

R=2hH

c

R=2H(H−h)

d

R=2h(H−h)

answer is D.

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Detailed Solution

Velocity of efflux at depth h below free surface. v=2gh (In horizontal direction) time taken by liquid to fall from (H–h) height under gravity t=2(H−h)ghorizontal distance R = vt.⇒R=2gh×2(H−h)g⇒R=2h(H−h)

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