Q. 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
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
Explanation
(d) 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 $C$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.