Fluid Mechanics Viscosity Question 95
Question: In the following fig. is shown the flow of liquid through a horizontal pipe. Three tubes A, B and C are connected to the pipe. The radii of the tubes A, B and C at the junction are respectively 2 cm, 1 cm and 2 cm. It can be said that the
Options:
A)Height of the liquid in the tube A is maximum
B)Height of the liquid in the tubes A and B is the same
C)Height of the liquid in all the three tubes is the same
D) Height of the liquid in the tubes A and C is the same
Show Answer
Answer:
Correct Answer: D
Solution:
As cross-section areas of both the tubes A and C are same and tube is horizontal. Hence according to equation of continuity $ v_{A}=v_{C} $ and therefore according to Bernoulli’s theorem $ P_{A}=P_{C} $ i.e. height of liquid is same in both the tubes A and C.