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Question #47634
The Question
Analyze the following statements regarding the Verhulst-Pearl logistic growth model (dN/dt = rN[(K-N)/K]) and the ecological impact of resource scarcity. Which of the following statements is INCORRECT?
Options
- A.
The term (K-N)/K mathematically represents environmental resistance, indicating the unutilized fraction of the carrying capacity.
- B.
As the population density (N) approaches the carrying capacity (K), the intrinsic rate of natural increase (r) progressively declines to zero.
- C.
The asymptote of the sigmoid growth curve is achieved when N = K, signifying that limiting factors have equalized the birth and death rates.
- D.
The logistic model is considered more realistic than the exponential model because it inherently accounts for the Law of Limiting Factors.
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Correct Answer
Step-by-Step Solution
Explanation
How the Examiner Thinks
Comparative_Analysis
Sharpen your ability to evaluate multiple scenarios and distinguish between competing potential answers.
Concepts Behind This Question
Carrying_Capacity(K)|Environmental_Resistance|Intrinsic_Rate_of_Increase
Why This Question Is Tricky
Common Mistakes
Conceptual Pivot: Students frequently confuse the 'intrinsic rate of natural increase' (r), which is a fixed biological parameter representing maximum reproductive potential, with the 'realized growth rate' (dN/dt).
The trap relies on the misconception that 'r' changes as resources deplete, whereas it is actually the environmental resistance modifier [(K-N)/K] that alters the final growth rate.
Quick Facts About This Question
Question Information
| Subject | Biology |
| Chapter | Photosynthesis in Higher Plants - Class 11 |
| Concept | Law of Limiting Factors |
| Difficulty | 8 |
| Cognitive Load | 5 |
| Target Solve Time | 120 sec |
| Access | Free |