A horizontal pipeline carries water in a streamline flow. At a point along the pipe, where the cross- sectional area is 10 cm², the velocity of water is 1 m/s and pressure is 2000 Pa. The pressure of water at another point where the cross-sectional area 5 cm² is [Given → density of water = 1000 kg/m³ ] (a) 1000 Pa (b) 750 Pa (c) 500 Pa (d) 250 Pa

Answer: (c). Continuity: v₂ = 10/5× 1 = 2 m/s Bernoulli: P₂ = P₁ - 1/2ρ (v₂² - v₁²) = 2000 - 1/2×1000×(4 - 1) P₂ = 2000 - 1500 = 500 Pa So the answer is (c) 500 Pa.

A horizontal pipeline carries water in a streamline flow. At a point… | MHT CET 2025 (25 Apr, Shift 2)

Q7MHT CET 2025 · 25 APR · SHIFT 2Medium

Bernoulli's Equation

A horizontal pipeline carries water in a streamline flow. At a point along the pipe, where the cross- sectional area is $10\text{ cm}^2$ , the velocity of water is $1\text{ m/s}$ and pressure is 2000 Pa. The pressure of water at another point where the cross-sectional area $5\text{ cm}^2$ is

[Given $\rightarrow$ density of water $= 1000\text{ kg/m}^3$ ]

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Answer: (c)

Continuity: $v_2 = \dfrac{10}{5}\times 1 = 2\text{ m/s}$
Bernoulli: $P_2 = P_1 - \frac{1}{2}\rho (v_2^2 - v_1^2) = 2000 - \frac{1}{2}\times1000\times(4 - 1)$
$P_2 = 2000 - 1500 = 500\text{ Pa}$
So the answer is (c) 500 Pa.

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Bernoulli's Equation question from MHT CET 2025 (25 Apr, Shift 2)

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