Botany-Population Growth

NEET Botany Population Growth MCQ Question

Type: MCQ-numerical-Medium-Class 12

If a population of a certain species is initially 1000 and grows to 4000 in 6 years, what is the intrinsic rate of increase (r) assuming exponential growth?

A

0.231

B

0.462

C

0.115

D

0.693

Correct Answer

Option A

Detailed Explanation

The intrinsic rate of increase (r) can be calculated using the formula N(t) = N0 * e^(rt). Given that N(t)/N0 = 4000/1000 = 4 and time t = 6, solving e^(6r) = 4 gives r ≈ 0.231.

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