cosider a water jar of radius r that has water filled up to height H and is kept on astand of height h . through a hole of radius r (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 :

Answer 1

x = r[H/H+h]^1/4