Question

Horizontal tube of non-uniform cross-section has radii of 0.1 m and 0.05 m respectively at M and N. For a streamline flow of liquid, the rate of liquid flow is:

• A. Changing continuously with time
• B. Greater at M than at N
• C. Greater at N than at M
• D. Same at M and N

Answer 1

The correct option is D Same at M and N

According to principle of continuity, for streamline flow of fluid
through a tube of non-uniform cross-section the rate of flow of fluid
(Q) is same at every point in the tube.
i.e, Av = constant $\Rightarrow$ $A_1{v}_1=A_2{v}_2$
Therefore, the rate of flow of fluid is same at M and N.