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