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NEET 2019
Exam
NEET
Year
2019
Subject
Physics
Chapter
Mechanical Properties of Fluids

NEET 2019 · Physics · Mechanical Properties of Fluids

A small hole of area cross-section 2m m ^ 2 is present near the...

A small hole of area cross-section 2mm22m{m}^{2} is present near the bottom of a fully filled open tank of height 2m.2m . Taking g=10ms−2g = 10m{s}^{- 2}, the rate of flow of water through the open hole would be nearly

Options

  1. A12.6×10−6m3s−112.6 \times 1{0}^{- 6}{m}^{3}{s}^{- 1}
  2. B8.9×10−6m3s−18.9 \times 1{0}^{- 6}{m}^{3}{s}^{- 1}
  3. C2.23×10−6m3s−12.23 \times 1{0}^{- 6}{m}^{3}{s}^{- 1}
  4. D6.4×10−6m3s−16.4 \times 1{0}^{- 6}{m}^{3}{s}^{- 1}

Correct answer

A. 12.6×10−6m3s−112.6 \times 1{0}^{- 6}{m}^{3}{s}^{- 1}

Step-by-step solution

Velocity of efflux v=2ghv = \sqrt{2gh}
v=2×10×2v = \sqrt{2 \times 10 \times 2}
=2×10= 2 \times \sqrt{10}
Rate of flow = area ×v\times v
=2×10−6×2×10= 2 \times {10}^{- 6} \times 2 \times \sqrt{10}
=4×3.14×10−6= 4 \times 3.14 \times {10}^{- 6}
≅12.6×10−6≅ 12.6 \times {10}^{- 6}
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