A glass tube of uniform cross-section is connected to a tap with a… | MHT CET 2021 (24 Sep, Shift 1)

Q15MHT CET 2021 · 24 SEP · SHIFT 1Medium

Types of Flow, Reynolds Number & Continuity

A glass tube of uniform cross-section is connected to a tap with a rubber tube. The tap is opened slowly. Initially the flow of water in the tube is streamline. The speed of flow of water to convert it into a turbulent flow is [radius of tube $= 1\text{ cm}, \eta = 1 \times 10^{-3}\,\frac{\text{Ns}}{\text{m}^2}, R_n = 2500$ and density of water $= 10^{3}\text{ kg/m}^3$ ]

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Answer: (b)

$R_n = \dfrac{\rho v D}{\eta} \Rightarrow v = \dfrac{R_n \eta}{\rho D}$ , with $D = 2r = 0.02\text{ m}$ .
$v = \dfrac{2500 \times 10^{-3}}{10^3 \times 0.02} = \dfrac{2.5}{20}$
$v = 0.125\text{ m/s}$
So the answer is (b) $0.125\text{ m/s}$ .

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Types of Flow, Reynolds Number & Continuity question from MHT CET 2021 (24 Sep, Shift 1)

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