Fluid MechanicsHard
Question
The velocity of the liquid coming out of a small hole of a large vessel containing two different liquids of densities 2ρ and ρ as shown in figure is
Options
A.
B.
C.
D.
Solution
A liquid is kept in a cylindrical vessel which is rotated about its axis. The liquid rises at the sides. If the radius of the vessel is 0.05 m and the speed of rotation is 2 rev/s, The difference in the height of the liquid at the centre of the vessel and its sides will be (π2 = 10) :
(B) Pressure at (1) :
P1 = Patm + ρ g (2h)
Applying Bernoulli′s theorum between points (1) and (2)
[Patm + 2 ρ g h] + ρg(2h) + 1/2 (2 ρ) (0)2
= Patm + (2 ρ) g (0) + (2 ρ) v2
⇒ v = 2
Ans.
(B) Pressure at (1) :
P1 = Patm + ρ g (2h)
Applying Bernoulli′s theorum between points (1) and (2)
[Patm + 2 ρ g h] + ρg(2h) + 1/2 (2 ρ) (0)2
= Patm + (2 ρ) g (0) + (2 ρ) v2
⇒ v = 2
Ans.Create a free account to view solution
View Solution FreeMore Fluid Mechanics Questions
A portion of a tube is shown in the figure. Fluid is flowing from cross-section area A1 to A2. The two cross-sections ar...A capacitor stores energy in the form of :-...Two wires of the same material have lengths in the ratio 1 : 2 and their radii are in the ratio 1 : √2. If they ar...A 10 cm side cube weighing 5N is immersed in a liquid of relative density 0.8 contained in a rectangular tank of cross s...A spherical body of radius R consists of a fluid of constant density and is in equilibrium under itsown gravity. If P(r)...