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MHT CET 2023 (13 May, Shift 2) · Velocity of Efflux (Torricelli)

Velocity of Efflux (Torricelli) question from MHT CET 2023 (13 May, Shift 2)

Q14MHT CET 2023 · 13 MAY · SHIFT 2Medium

Velocity of Efflux (Torricelli)

There is hole of area AA at the bottom of a cylindrical vessel. Water is filled to a height hh and water flows out in tt second. If water is filled to a height 4h4h, it will flow out in time (in second)

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Answer: (c)

  1. Time to empty: t=AvesselA2hg⇒t∝ht = \frac{A_{vessel}}{A}\sqrt{\frac{2h}{g}} \Rightarrow t \propto \sqrt{h}
  2. t′t=4hh=2\frac{t'}{t} = \sqrt{\frac{4h}{h}} = 2
  3. So the answer is (c) 2t2t.
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