Question

The diameters of a pipe at point A and point B are \(5 \, \text{cm}\) and \(7.5 \, \text{cm}\) respectively. Find the discharge and velocity at point B, if the velocity of water at point A is \(2.5 \, \text{m/sec}\).

• A. \(1.25 \times 10^{-3} \, \text{m}^3/\text{sec}, \; 0.005 \, \text{m/sec}\)
• B. \(1.25 \times 10^{-3} \, \text{m}^3/\text{sec}, \; 5 \, \text{m/sec}\)
• C. \(1.25 \times 10^{-4} \, \text{m}^3/\text{sec}, \; 0.005 \, \text{m/sec}\)
• D. \(12.5 \, \text{m/sec}, \; 0.5 \, \text{m}^3/\text{sec}\)

Hint:

For incompressible steady flow in pipes: \[ \boxed{ A_1V_1 = A_2V_2 } \] If pipe area increases, velocity decreases.

Answer 1

The Correct Option is A