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Velocity of Efflux (Torricelli) question from NEET 2019

Q22NEET 2019Easy

Velocity of Efflux (Torricelli)

A small hole of area of cross-section 2 mm2 present near the bottom of a fully filled open tank of height 2 m. Taking g = 10 m/s2, the rate of flow of water through the open hole would be nearly:

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Answer: (d)

  1. Torricelli: v=2gh=2(10)(2)=40≈6.32 m/sv = \sqrt{2gh} = \sqrt{2(10)(2)} = \sqrt{40} \approx 6.32\text{ m/s}
  2. Q=av=(2×10−6)(6.32)≈12.6×10−6 m3/sQ = av = (2\times10^{-6})(6.32) \approx 12.6\times10^{-6}\text{ m}^3\text{/s}
  3. So the answer is (d) 12.6×10−612.6\times10^{-6} m3^3/s.
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