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.