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
A non uniform cylinder of mass m, length l and radius r is having its centre of mass at a distance l/4 from the centre a...A block of steel of size 5 cm. x 5 cm. x 5 cm. is weighed in water. If the relative density of steel is 7, its apparent ...The mean distance between the atoms of iron is 3 × 10-10 m and inter atomic force constant for iron is 7 N/m. The y...Two water pipes P and Q having diameters 2 × 10-2 m and 4 × 10-2 m, respectively, are joined in series with th...Due to capillary action a liquid will rise in a tube if angle of contact is...