Exponential Population Growth Formula — NEET Biology
✅ Asked in NEET 2021In the exponential growth equation , e represents: (NEET 2021)
In the exponential growth equation , e represents: (NEET 2021)
Answer & NCERT explanation
Correct answer: A — The base of natural logarithms
In exponential growth equation dN/dt = rN, and integrated form Nt = N0e^rt, 'e' represents the base of natural logarithms (approximately 2.718). This mathematical constant is fundamental in continuous growth models and calculus-based population growth equations in NCERT.
Read more NCERT concept on the PYQ
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)
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.
What does NCERT say about Nt N0 ert where?
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Through deep analysis of NEET and NTA, 88 of 90 questions from the NEET 2026 paper were matched straight from the MedicNEET Biology question bank.
88/90MedicNEET's Biology question bank is built from the same NCERT lines NTA picks repeatedly. Not random MCQs — questions crafted exactly like NTA crafts them.