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JEE Main 2019 (10 Jan, Shift 1) · Velocity of Efflux (Torricelli)

Velocity of Efflux (Torricelli) question from JEE Main 2019 (10 Jan, Shift 1)

Q23JEE Main 2019 · 10 JAN · SHIFT 1Medium

Velocity of Efflux (Torricelli)

Water flows into a large tank with flat bottom at the rate of 10–4m3s–1. Water is also leaking out of a hole ofarea 1 cm2 at its bottom. If the height of the water in the tank remains steady, then this height is -

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Answer: (b)

  1. Steady level: inflow = outflow, Q=a2ghQ = a\sqrt{2gh}
  2. 2gh=10−410−4=1 m/s\sqrt{2gh} = \frac{10^{-4}}{10^{-4}} = 1\text{ m/s}
  3. h=12(9.8)≈0.051 m=5.1 cmh = \frac{1}{2(9.8)} \approx 0.051\text{ m} = 5.1\text{ cm}
  4. So the answer is (b) 5.1 cm.
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