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

Question

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:

Question diagram: Consider a water jar of radius R that has water filled up to

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Answer:

A

Solution:

Using equation of continuity

$π r^{2} \sqrt{2 gH} = π x^{2} \sqrt{2 g (H + h)}$

$x = r {(\frac{H}{H + h})}^{\frac{1}{4}}$

TestHub · Accepted Answer

Using equation of continuity π r 2 2 gH = π x 2 2 g H + h x = r H H + h 1 4

Physics - Fluid Question with Solution | TestHub

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