Question

Which of the following statements are true? 

A. The same Bernoulli's equation is applicable to all the points in the flow field if the flow is irrotational. 
B. The value of "Constant in the Bernoulli's equation" is different for different streamlines if the flow is rotational. 
C. When a nozzle is fitted at the end of a long pipeline, the discharge increases. 
D. The velocity of flow at the nozzle end is more than that in the case of a pipe without a nozzle, the head in both cases being the same. 
Choose the most appropriate answer from the options given below:

• A. A, B and D only
• B. A, B and C only
• C. A, B, C and D
• D. B, C and D only

Hint:

Bernoulli's equation: valid for steady, incompressible, non-viscous flows. For irrotational flow, the constant is same for all streamlines.

Answer 1

The Correct Option is C

Step 1: Check each statement.
- (A) True: For irrotational flow, Bernoulli's equation applies universally in the flow field.
- (B) True: For rotational flow, the constant differs along different streamlines.
- (C) True: A nozzle reduces area, so velocity increases, leading to increased discharge.
- (D) True: With same head, nozzle increases velocity compared to a pipe without nozzle.

Step 2: Conclusion.
All four statements are correct $\Rightarrow$ Option (3).