Question

A non-viscous liquid is flowing through a horizontal pipe as shown in the figure. Three tubes $A$ , $B$ and $C$ are connected to the pipe. The radii of the tubes $A$ , $B$ and $C$ at the junction are $2cm$ , $1cm$ and $2cm$ respectively. 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

Answer 1

Answer: (D)

As cross-section areas of both the tubes $A$ and $C$ are same and tube is horizontal.
Hence according to equation of continuity
$v_A=v_C$
Therefore according to Bernoulli's theorem
$P_A=P_C$
i.e. height of liquid is same in both the tubes $A$ and $C$ .