TS EAMCET · Physics · Mechanical Properties of Fluids
Water flows through a horizontal pipe of variable crosssection at the rate of \(12 \pi\) litre per minute. The velocity of the water at the point where the diameter of the pipe becomes 2 cm is
- A \(6 \mathrm{~ms}^{-1}\)
- B \(8 \mathrm{~ms}^{-1}\)
- C \(4 \mathrm{~ms}^{-1}\)
- D \(2 \mathrm{~ms}^{-1}\)
Answer & Solution
Correct Answer
(D) \(2 \mathrm{~ms}^{-1}\)
Step-by-step Solution
Detailed explanation
Given, Rate of flow of water, \(\mathrm{V}=12 \pi\) litre per minute \(=\frac{12 \pi \times 10^{-3}}{60} \mathrm{~m}^3 / \mathrm{s}\) Radius of pipe, \(\mathrm{r}=1 \times 10^{-2} \mathrm{~m}\) From the equation of continuity…
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