Rankers Physics
Topic: Solid and Fluids
Subtopic: Fluid Dynamics

A tank is filled to a height H. The range of water coming out of a hole which is a depth H/4 from the surface of water level is :
\[\frac{2H}{\sqrt{3}}\]
\[\frac{\sqrt{3}H}{2}\]
\[\sqrt{3}H\]
\[\frac{3H}{4}\]

Solution:

The horizontal range of water emerging from a hole is given by the formula

$$R = 2\sqrt{h(H - h)} $$

$$R = 2\sqrt{\left(\frac{H}{4}\right)\left(\frac{3H}{4}\right)} = 2\left(\frac{\sqrt{3}H}{4}\right) = \frac{\sqrt{3}H}{2}$$

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