Question

Horizontal tube of non-uniform corss-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

Hint:

Narrower tubes force the liquid to flow faster to maintain the volume rate.

Answer 1

The Correct Option is C

Step 1: Continuity Equation
For streamline flow, the rate of flow is governed by $A_1v_1 = A_2v_2$.
Step 2: Inverse Relationship
The velocity ($v$) is inversely proportional to the cross-sectional area ($A$).
Step 3: Conclusion
Since point N has a smaller radius (0.05 m) than M (0.1 m), the cross-sectional area is smaller at N, and thus the rate of velocity (speed) is greater at N.
Final Answer: (c)