MHT CET · Physics · Mechanical Properties of Fluids
A horizontal pipeline carries water in a stream-line flow. At a point along the pipe, where the cross-sectional area is \(10 \mathrm{~cm}^2\), the velocity of water is \(1 \mathrm{~m} / \mathrm{s}\) and pressure is 2000 Pa . The pressure of water at another point where the cross-sectional area \(5 \mathrm{~cm}^2\) is
\(\left[\text { Given } \rightarrow \text { density of water }=1000 \mathrm{~kg} / \mathrm{m}^3\right]\)
- A 1000 Pa
- B 750 Pa
- C 500 Pa
- D 250 Pa
Answer & Solution
Correct Answer
(C) 500 Pa
Step-by-step Solution
Detailed explanation
\(A_1 v_1 = A_2 v_2\) \(v_2 = \frac{A_1 v_1}{A_2} = \frac{10 \times 10^{-4} \mathrm{~m}^2 \times 1 \mathrm{~m} / \mathrm{s}}{5 \times 10^{-4} \mathrm{~m}^2} = 2 \mathrm{~m} / \mathrm{s}\)
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