Question

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: The logistic growth model of populations is considered more realistic than the exponential growth model.
Reason R: Resources are finite.
In the light of the above statements, choose the most appropriate answer from the options given below:

• A. A is not correct but R is correct
• B. Both A and R are correct and R is the correct explanation of A
• C. Both A and R are correct but R is not the correct explanation of A
• D. A is correct but R is not correct

Hint:

Verhulst-Pearl Logistic Growth is mathematically expressed as: \(\frac{dN}{dt} = rN \left(\frac{K - N}{K}\right)\). When \(N = K\), population growth stops, representing the maximum population size that the environment can support.

Answer 1

The Correct Option is B

Step 1: Read the two statements.
Assertion A: the logistic growth model is more realistic than the exponential model. Reason R: resources are finite.
Step 2: Recall exponential growth.
Exponential growth assumes unlimited resources and gives a J-shaped curve, which is rare in nature.
Step 3: Recall logistic growth.
Logistic growth assumes limited resources and gives an S-shaped (sigmoid) curve that levels off at the carrying capacity $K$.
Step 4: Test Assertion A.
Because real habitats have limits, the logistic model fits nature better. So A is correct.
Step 5: Test Reason R.
Food, space, and nesting sites are always finite, so R is also correct.
Step 6: Link them and conclude.
The logistic model is more realistic precisely because resources are finite, so R explains A. This is option (2).
\[ \boxed{\text{Both A and R correct, R explains A}} \]