Botany-Population Growth
NEET Botany Population Growth MCQ Question
Type: MCQ-numerical-Hard-Class 12
A population of rabbits in a forest is growing exponentially. If the population doubles in size in 3 years, what is the intrinsic rate of increase (r) of the population? Use the formula N(t) = N(0)e^(rt). Assume the initial population size N(0) is 1000.
A
0.231
B
0.693
C
0.500
D
0.333
Correct Answer
Option A
Detailed Explanation
Using the formula N(t) = N(0)e^(rt), where N(t) = 2000, N(0) = 1000, and t = 3, solving for r gives r ≈ 0.231. This matches the intrinsic rate of increase for exponential growth as described.
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