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TS EAMCET · Physics · Mechanical Properties of Fluids

A water tank kept on the ground has an orifice of \(2 \mathrm{~mm}\) diameter on the vertical side. What is the minimum height of the water above the orifice for which the output flow of water is found to be turbulent? (Assume, \(g=10 \mathrm{~m} / \mathrm{s}^2, \rho_{\text {water }}=10^3 \mathrm{~kg} / \mathrm{m}^3\), viscosity \(=1\) centi-poise)

  1. A \(3 \mathrm{~cm}\)
  2. B \(4 \mathrm{~cm}\)
  3. C \(6 \mathrm{~cm}\)
  4. D \(11 \mathrm{~cm}\)
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Answer & Solution

Correct Answer

(D) \(11 \mathrm{~cm}\)

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Detailed explanation

Here, \(D=2 \mathrm{~mm}, \eta=1\) centi-poise \(=10^{-3} \mathrm{~Pa}-\mathrm{s}\) and density of the water, \(\rho=10^3 \mathrm{~kg} / \mathrm{m}^3\) For flow to be just turbulent, \(R_e=3000\)…
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