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JEE Main2016PhysicsMechanical Properties of FluidsActual

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:

Options

  1. Ax = r H H + h 1 4
  2. Bx = r H H + h
  3. Cx = r H H + h 2
  4. Dx = r H H + h 1 2

Correct answer

A. x = r H H + h 1 4

Step-by-step solution

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

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