Consider a diagram depicting a fluid flowing through a horizontal pipe with varying cross-section, as described in the NCERT context. If P1, v1, and A1 are the pressure, velocity, and cross-sectional

Question

Consider a diagram depicting a fluid flowing through a horizontal pipe with varying cross-section, as described in the NCERT context. If P1, v1, and A1 are the pressure, velocity, and cross-sectional area at the wider section, and P2, v2, and A2 at the narrower section, what equation correctly represents the pressure difference (P1 - P2) in terms of fluid density $\rho$ and velocity change?

A

(P1 - P2) = $\frac{1}{2} \rho (v2^2 - v1^2)$

B

(P1 - P2) = $\rho g (h2 - h1)$

C

(P1 - P2) = $\rho \Delta V (v2 - v1)$

D

(P1 - P2) = $\frac{1}{2} \rho g (v2^2 - v1^2)$

Accepted Answer

(P1 - P2) = $ \frac{1}{2} \rho (v2^2 - v1^2) $

Answer

(P1 - P2) = $ \rho g (h2 - h1) $

Answer

(P1 - P2) = $ \rho \Delta V (v2 - v1) $

Answer

(P1 - P2) = $ \frac{1}{2} \rho g (v2^2 - v1^2) $

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