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NCERT Exemplar · Q45

Q.A farmer harvests his crop and expresses his harvest in three different ways.
a. I have harvested 10 quintals of wheat.
b. I have harvested 10 quintals of wheat today in one acre of land.
c. I have harvested 10 quintals of wheat in one acre of land, 6 months after sowing.
Do the above statements mean one and the same thing. If your answer is yes, give reasons. And if your answer is 'no' explain the meaning of each expression.

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The three statements do not mean the same thing. This question is really testing the chapter's own Productivity-vs-Standing-Crop distinction (Section 12.2): productivity is a rate — biomass produced per unit area per unit time — while a bare figure with no area or time reference tells you neither.

Every one of the farmer's three statements reports the same raw number — 10 quintals of wheat — but each adds a different piece of context, and it is exactly the presence or absence of an area term and a time term that decides whether the statement describes productivity at all.

Statement (a) — "I have harvested 10 quintals of wheat" — gives neither an area nor a time period. It is only a gross total quantity. We cannot compare it with any other farmer's harvest, because we don't know how much land or how long it took to produce it.

Statement (b) — "I have harvested 10 quintals of wheat today in one acre of land" — adds an area (one acre) but still no time period (sowing-to-harvest duration isn't given; "today" only marks the day of harvest, not the growing period). This is closer to a standing-crop-style figure: how much biomass exists on that land at this moment, without telling us the rate at which it was produced.

Statement (c) — "I have harvested 10 quintals of wheat in one acre of land, 6 months after sowing" — now supplies BOTH an area (one acre) AND a time period (6 months, sowing to harvest). This is the only statement that expresses the harvest as a genuine rate per unit area per unit time — which is exactly how this chapter defines productivity (Section 12.2: NPP is biomass produced per unit area per unit time). Only statement (c) lets you meaningfully compare this farmer's land against another farmer's, or against a different crop or season. …

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