Question

In the following fig. is shown the flow of liquid through a horizontal pipe. Three tubes A, B and Care 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 th

• 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)

Height of the liquid in the tubes A and C is the same

Answer 2

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.