Question

A pipe has a radius of 2 cm at one end and 1 cm at the other end. The velocity of the water at the wider end is 5 m/s. What is the velocity of the water at the narrower end, assuming incompressible flow?

• A. \( 10 \, \text{m/s} \)
• B. \( 20 \, \text{m/s} \)
• C. \( 15 \, \text{m/s} \)
• D. \( 25 \, \text{m/s} \)

Hint:

In incompressible flow, the product of cross-sectional area and velocity at any point in the pipe remains constant. Use the principle of continuity to relate velocities at different points in the pipe.