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JEE Main201910 Jan 2019Morning ShiftPhysicsMechanical Properties of FluidsActual

Water flows into a large tank with flat bottom at the rate of 10 - 4 m 3 s - 1 . Water is also leaking out of a hole of area 1 c m 2 at its bottom. If the height of the water in the tank remains steady then this height is:

Options

  1. A5.1 c m
  2. B1.7 c m
  3. C2.9 c m
  4. D4 c m

Correct answer

A. 5.1 c m

Step-by-step solution

Amount of water going out = amount of water coming in. 2 g h × A = V h = 10 - 4 2 2 × 9.8 × 10 - 4 2 = 5.1 c m

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