A tank is filled with water up to a height H. | vedclass

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(C) The velocity of water coming out of the hole (velocity of efflux) is given by Torricelli's law as $v = \sqrt{2gD}$.The height of the hole from the

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$x = 2\sqrt {D(H - D)} $

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(C) The velocity of water coming out of the hole (velocity of efflux) is given by Torricelli's law as $v = \sqrt{2gD}$.The height of the hole from the bottom of the tank is $(H - D)$.The time $t$ taken by the water to reach the ground is calculated using the equation of motion for a freely falling body: $(H - D) = \frac{1}{2}gt^2$,which gives $t = \sqrt{\frac{2(H - D)}{g}}$.The horizontal distance $x$ covered by the water is the product of the horizontal velocity and the time taken to reach the ground:$x = v 	imes t$$x = \sqrt{2gD} 	imes \sqrt{\frac{2(H - D)}{g}}$$x = \sqrt{2gD 	imes \frac{2(H - D)}{g}}$$x = \sqrt{4D(H - D)}$$x = 2\sqrt{D(H - D)}$

$A$ tank is filled with water up to a height $H$. Water is allowed to come out of a hole in one of the walls at a depth $D$ below the surface of water. Express the horizontal distance $x$ in terms of $H$ and $D$.

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