For an irrigation project, Culturable Command Area (CCA) =
- ACulturable Command Area (CCA) = Gross Command Area (GCA)
- BCulturable Command Area (CCA) = Gross Command Area (GCA) + Unculturable area
- CCulturable Command Area (CCA) = Gross Command Area (GCA) - Unculturable areaCorrect
- DCulturable Command Area (CCA) = Unculturable area - Gross Command Area (GCA)
Solution
Concept
CCA is the part of the gross command area that can actually be cultivated. So it equals GCA minus the unculturable area.
Formula
CCA = GCA - Unculturable area
Step-by-step solution
1. GCA (Gross Command Area) is the total area that can be irrigated by a canal system. It includes both culturable and unculturable land. 2. Unculturable area means roads, villages, ponds, barren land, alkaline soil and similar land. 3. CCA (Culturable Command Area) is only the land that can be cultivated. 4. So CCA = GCA - Unculturable area. The answer is (C).
Explanation
Gross command area includes all land in the canal command, even land that cannot be farmed. If we remove the unculturable land such as roads, towns, ponds and barren land, we get the culturable command area. So CCA is always less than or equal to GCA.
Why the other options are wrong
A: CCA equals GCA only if there is no unculturable land, which is not the general case. B: Adding unculturable land makes the area bigger than GCA, which is impossible. D: Unculturable area minus GCA gives a negative value and has no meaning.
Shortcut
Remember that CCA is always less than or equal to GCA, so the answer must involve subtraction from GCA.
Common mistake
Students mix up CCA with the culturable cultivated area. CCA includes both cultivated and uncultivated culturable land.
Correct answer: C) Culturable Command Area (CCA) = Gross Command Area (GCA) - Unculturable area