Question

A non-viscous liquid flows through a horizontal pipe of varying cross-sectional area. Identify the option which correctly represents the variation of height of rise of liquid in each vertical tube.

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

We know,
Equation of continuity:
$Av=$ constant $\Rightarrow v\propto \frac{1}{A}$ ......(1)

As area of cross section of pipe decreases, velocity of fluid increases.

Also, Bernoulli's equation -
$P+\rho gh+\frac{1}{2}\rho v^2$= constant
At same height, as velocity of fluid increases, Pressure decreases.
We can see that diagram $B$ correctly represents the variation of height of rise of liquid.