Q.3
Given below are two statements
Statement (I) : A channel section is most economical when maximum discharge is obtained for a given cost of construction.
Statement (II) : Discharge is maximum when the flow velocity is minimum
In light of the above statements, choose the most appropriate answer from the options given below.
- Most Economical (Efficient) Open Channel Section:
- Statement (I): A channel section is most economical when maximum discharge is obtained for a given cost of construction. $\implies$ Correct.
- channel section is hydraulically most efficient/economical when it conveys maximum discharge ($Q$) for a given cross-sectional area and excavation volume (which corresponds to minimum wetted perimeter $P$).
- Statement (II): Discharge is maximum when the flow velocity is minimum. $\implies$ Incorrect.
- By continuity equation $Q = A \cdot V$, for a given cross-sectional area $A$, discharge is maximum when flow velocity $V$ is maximum (not minimum).
- Conclusion: Statement (I) is correct but Statement (II) is incorrect (Option 3).
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