A fluid is flowing through a horizontal pipe of varying cross-section, with speed v ms–1 at a point where the pressure is P pascal. At another point where pressure is ${P \over 2}$ Pascal its speed is V ms–1. If the density of the fluid is $\rho $ kg m–3 and the flow is streamline, then V is equal to :

Question

A fluid is flowing through a horizontal pipe of varying cross-section, with
speed v ms^–1 at a point where the pressure is P pascal. At another point where pressure is ${P \over 2}$ Pascal its speed is V ms^–1. If the density of the fluid is $\rho $ kg m^–3 and the flow is streamline, then V is equal to :

$\sqrt {{P \over {2\rho }} + {v^2}} $

$\sqrt {{P \over \rho } + {v^2}} $

$\sqrt {{{2P} \over \rho } + {v^2}} $

$\sqrt {{P \over \rho } + {v}} $

Solution

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