NEET 2021 · BiologyPrevious Year Question
In the exponential growth equation Nt = N0e^rt, e represents:
Answer: (A) The base of natural logarithms. Answer: (A) The base of natural logarithms.
- A.The base of natural logarithms✓
- B.The base of geometric logarithms
- C.The base of number logarithms
- D.The base of exponential logarithms
Correct Answer
(A) The base of natural logarithms
Solution & Explanation
Answer: (A) The base of natural logarithms. Solution: In the integral form of the exponential growth equation Nt = N0 e^rt, the term e is the base of natural logarithms (value 2.71828). The other options ('geometric', 'number', 'exponential' logarithms) are not valid mathematical bases. NCERT: Ch 11, p.194, lines 47-52 — "Nt = N0 ert 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)"
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