Botany-Population Growth
NEET Botany Population Growth MCQ Question
Type: MCQ-numerical-Medium-Class 12
If a population of organisms has a carrying capacity (K) of 1000 individuals, and the intrinsic rate of natural increase (r) is 0.1 per month, what would be the approximate population size after one month if the initial population size (N) is 900?
A
990
B
910
C
950
D
920
Correct Answer
Option A
Detailed Explanation
The logistic growth model formula is used: dN/dt = rN(K-N)/K. For a small time step, the population increase can be approximated by N(t+1) = N(t) + rN(t)(K-N(t))/K. With N(t) = 900, K = 1000, and r = 0.1, the population after one month is approximately 990.
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