In the following fig., the flow of liquid through a horizontal pipe is shown. 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

Answer

D

Explanation

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`.