Verified Solution • 2025–26 Session moderate

QJEEM20Phec69: JEE Main 2020 Physics - Class 11 JEEM20Phec69 Solution: A fluid is flowing through a horizontal pipe of varying…

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 P2{P \over 2} Pascal its speed is V ms–1. If the density of the fluid is ρ\rho kg m–3 and the flow is streamline, then V is equal to :

Multiple Choice Options

  • A P2ρ+v2\sqrt {{P \over {2\rho }} + {v^2}}
  • B Pρ+v2\sqrt {{P \over \rho } + {v^2}}
  • C 2Pρ+v2\sqrt {{{2P} \over \rho } + {v^2}}
  • D Pρ+v\sqrt {{P \over \rho } + {v}}

Step-by-Step Verified Solution

From Bernoulli's equation,

P + 12ρv2{1 \over 2}\rho {v^2} = P2+12ρV2{P \over 2} + {1 \over 2}\rho {V^2}

⇒\Rightarrow V = Pρ+v2\sqrt {{P \over \rho } + {v^2}}

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