JEE Main20206 Sep 2020Evening ShiftPhysicsMechanical Properties of FluidsActual
A fluid is flowing through a horizontal pipe of varying cross-section, with v   ms − 1 at a point where the pressure is P Pascal. At another point where pressure P 2 Pascal its speed is V ms - 1 . If the density of the fluid is ρ   kg − m - 3 and the flow is streamline, then V is equal to
Options
- AP ρ + υ
- B2 P ρ + υ 2
- CP 2 ρ + υ 2
- DP ρ + υ 2
Correct answer
D. P ρ + υ 2
Step-by-step solution
P + 1 2 ρv 2 = P 2 + 1 2 ρV 2 P 2 + 1 2 ρv 2 = 1 2 ρV 2 ; V = v 2 + P ρ