(A) The velocity of efflux is given by Torricelli's law: $v = \sqrt{2gD}$.The water stream travels a vertical distance of $(H-D)$ to reach the ground.

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(A) The velocity of efflux is given by Torricelli's law: $v = \sqrt{2gD}$.The water stream travels a vertical distance of $(H-D)$ to reach the ground.Using the equation of motion $s = ut + \frac{1}{2}at^2$,where $s = H-D$,$u = 0$ (initial vertical velocity),and $a = g$:$H-D = 0 + \frac{1}{2}gt^2$$t = \sqrt{\frac{2(H-D)}{g}}$The horizontal distance $x$ is given by the product of horizontal velocity and time:$x = v \times t$$x = \sqrt{2gD} \times \sqrt{\frac{2(H-D)}{g}}$$x = \sqrt{4D(H-D)}$$x = 2[D(H-D)]^{1/2}$

Class 11 Physics Mechanical Properties of Fluids Velocity of Efflux and Torricelli's law

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$A$ tank is filled with water to a height $H$. $A$ hole is made in one of the walls at a depth $D$ below the water surface. The distance $x$ from the foot of the wall at which the stream of water coming out of the tank strikes the ground is given by .............

A
$x=2[D(H-D)]^{1 / 2}$
B
$x=2(g D)^{1 / 2}$
C
$x=2[D(H+D)]^{1 / 2}$
D
None of these

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Velocity of Efflux and Torricelli's law

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$A$ tank is filled with water to a height $H$. $A$ hole is made in one of the walls at a depth $D$ below the water surface. The distance $x$ from the foot of the wall at which the stream of water coming out of the tank strikes the ground is given by .............

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