Botany-Population Growth
NEET Botany Population Growth MCQ Question
Type: MCQ-numerical-Easy-Class 12
If a population of animals follows an exponential growth pattern with an intrinsic rate of natural increase (r) of 0.5 per year, and the initial population density (N) is 100, what will be the population density after 2 years?
A
225
B
300
C
400
D
500
Correct Answer
Option C
Detailed Explanation
In exponential growth, the population density after time t is given by N(t) = N(0) * e^(rt). Using the values N(0) = 100, r = 0.5, and t = 2, the population density after 2 years is approximately 100 * e^(0.52) = 100 * e^(1) ≈ 100 * 2.718 = 271.8, which rounds to 272 (option C).
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