Consider a water jar of radius $R$ that has water filled up to height $H$ and is kept on a stand of height $h$ (see figure). Through a hole of radius $r$ $(r << R)$ at its bottom,the water leaks out and the stream of water coming down towards the ground has a shape like a funnel as shown in the figure. If the radius of the cross-section of water stream when it hits the ground is $x$,then:
- A$x = r\left( \frac{H}{H + h} \right)^{\frac{1}{4}}$
- B$x = r\left( \frac{H}{H + h} \right)$
- C$x = r\left( \frac{H}{H + h} \right)^2$
- D$x = r\left( \frac{H}{H + h} \right)^{\frac{1}{2}}$
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MediumAIIMS 2016
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