Fluid MechanicsHard
Question
There is a small hole in the bottom of a fixed container containing a liquid upto height ′h′. The top of the liquid as well as the hole at the bottom are exposed to atmosphere. As the liquid comes out of the hole. (Area of the hole is ′a′ and that of the top surface is ′A′) :
Options
A.the top surface of the liquid accelerates with acceleration = g
B.the top surface of the liquid accelerates with acceleration = 
C.the top surface of the liquid retards with retardation = 
D.the top surface of the liquid retards with retardation = 
Solution
The velocity of fluid at the hole is V2 = 
Using continuity equation at the two cross-sections (1) and (2) :
V1 A = V2 a ⇒ V1 =
V2
⇒ acceleration (of top surface) = −
= −
a1 = −
⇒a1 = 
Using continuity equation at the two cross-sections (1) and (2) :
V1 A = V2 a ⇒ V1 =
V2⇒ acceleration (of top surface) = −
= −
a1 = −
⇒a1 = Create a free account to view solution
View Solution FreeMore Fluid Mechanics Questions
The barometric pressure and height on the earth are 105 Pa and 760 mm respectively. If it is taken to moon, then baromet...A ball rises to surface at a constant velocity in liquid whose density is 4 times greater than that of the material of t...Magnus effect is very near to the...The excess pressure inside an air bubble of radius r just below the surface of water is p1. The excess pressure inside a...A metallic sphere floats in an immiscible mixture of water (ρw = 103 kg/m3) and a liquid (ρL = 13.5 × 103...