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 block of silver of mass 4 kg hanging from a string is immersed in a liquid of relative density 0.72. If relative densi...Which one of the following substances possesses the highest elasticity :...A cylinder is filled with non viscous liquid of density d to a height h0 and a hole is made at a height h1 from the bott...A ball rises to surface at a constant velocity in liquid whose density is 4 times greater than that of the material of t...There are two liquid drops of different radii. The excess pressure inside over the outside is :...