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
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
$x = r{\left( {\frac{H}{{H + h}}} \right)^2}$
- B
$x = r{\left( {\frac{H}{{H + h}}} \right)^{\frac{1}{2}}}$
- C
$x = r\left( {\frac{H}{{H + h}}} \right)$
- D
$x = r{\left( {\frac{H}{{H + h}}} \right)^{\frac{1}{4}}}$
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