Class 12 · Organisms and Populations

Exponential Population Growth Formula — NEET Biology

✅ Asked in NEET 2021
📖 NCERT Source

Nt = N0 e^rt where Nt = Population density after time t N0 = Population density at time zero r = intrinsic rate of natural increase e = the base of natural logarithms (2.71828)

🖼️Related NCERT figure: Population growth curve showing two curves - curve 'a' showing exponential J-shaped growth when responses are not limiting, and curve 'b' showing logistic S-shaped growth when responses are limiting. The y-axis shows Population density (N), x-axis shows Time (t), and curve 'b' shows carrying capacity K as a horizontal asymptote. (Figure 11.3 Population growth curve a when responses are not limiting the growth, plot is exponential. b when responses are limiting the growth, plot is logistic. K is carrying capacity)
NCERT Biology · Class 12 · Chapter 11 · Paragraph 27
How NTA Uses This Concept

This equation describes exponential population growth where population density increases at a constant rate over time. The 'e' (2.71828) is crucial—students often confuse it with other constants or forget it's the base of natural logarithms, not just a random number. The key trap: forgetting that 'r' is the intrinsic rate (birth rate minus death rate) and that this model assumes unlimited resources. To solve NEET questions correctly, remember Nt increases exponentially when r is positive, and always use the exact value of e provided. This formula directly models real population dynamics tested frequently in ecology units.

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QuestionNEET 2021

In the exponential growth equation , e represents: (NEET 2021)

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