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A horizontal pipe of variable cross-section has a fluid of density \(\rho\) flowing through it. At cross-sections A and …

Q1

A horizontal pipe of variable cross-section has a fluid of density \(\rho\) flowing through it. At cross-sections A and B, the velocities are \({V}_{A}\)​ and \({V}_{B}\), and the pressures are \({P}_{A}\)​ and \({P}_{B}\)​. Find the correct relation between velocities.

(Shift - II Memory Based)​

a

\({V}_{A}−{V}_{B}=\frac{\rho }{2({P}_{B}^{2}−{P}_{A}^{2})}\)​

b

\({V}_{A}−{V}_{B}=\frac{2({P}_{A}−{P}_{B})}{\rho }\)​

c

​\({V}_{A}^{2}−{V}_{B}^{2}=\frac{2({P}_{B}−{P}_{A})}{\rho }\)​

d

\({V}_{A}^{2}−{V}_{B}^{2}=\frac{2({P}_{A}−{P}_{B})}{\rho }\)​

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