MP Board · Class 12 · Biology · Organisms and PopulationsWhich equation correctly represents the Exponential Growth Model of a population?
Step-by-Step Solution
The differential equation for exponential population growth when resources are unlimited is $dN/dt = rN$. Its integral form is $N_t = N_0 e^{rt}$.
Detailed Options Breakdown
Option : $dN/dt = rN$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: $dN/dt = rN \left(\frac{K-N}{K}\right)$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Organisms and Populations.
Option 2: $N_t = N_0 + r$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Organisms and Populations.
Option 3: $dN/dt = K$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Organisms and Populations.
💡 Study Guide: This question tests core syllabus concepts from Organisms and Populations. For formulas, key summaries, and mock exam reference guides, read the full Organisms and Populations Revision Notes.