Question

Given below are two statements:
Statement-I: For the most economical section of a rectangular channel giving maximum discharge would be when the flow depth is half the breadth of the channel.
Statement-II: For the most economical section of a rectangular channel giving maximum discharge would be when the hydraulic mean radius of the channel is half the depth of flow.
In light of the above statements, choose the most appropriate answer from the options given below:

• A. Both Statement I and Statement II are correct
• B. Both Statement I and Statement II are incorrect
• C. Statement I is correct but Statement II is incorrect
• D. Statement I is incorrect but Statement II is correct

Hint:

For the most economical rectangular channel:
- Width is twice the depth (\( b = 2y \)).
- Hydraulic radius is half the depth (\( R = y/2 \)).
These two relationships are frequently tested in hydraulic exams.

Answer 1

The Correct Option is A