Assertion: Under unlimited resource conditions, popultion can show an exponential growth curve.
Reason: The maximum possible number of individuals can aloways be supported when enough resources are available.

Options

A. If both Assertion and Reason are true and the reason is correct explanation of the assertion, then mark (1).
B. If both Assertion and Reason are true but the reason are true the reason is not the correct explanation of the assertion, then mark (2).
C. If Assertion is true but Reason is false, then mark (3).
D. If both Assertion and Reason are false, then mark (4).

Answer

**Step-by-Step Text Solution:**

1. **Understanding the Assertion**: The assertion states that under unlimited resource conditions, a population can show an exponential growth curve. This means that when resources such as food, water, and shelter are abundant, the population has the potential to grow rapidly.

2. **Exponential Growth Curve**: In ecological terms, exponential growth is represented by a J-shaped curve. This occurs when a population grows at a constant rate over time, leading to a rapid increase in numbers. The formula for exponential growth is often expressed as \( N(t) = N_0 e^{rt} \), where \( N(t) \) is the population size at time \( t \), \( N_0 \) is the initial population size, \( r \) is the growth rate, and \( e \) is the base of the natural logarithm.

3. **Understanding the Reason**: The reason provided states that the maximum possible number of individuals can always be supported when enough resources are available. This implies that with sufficient resources, there are no limitations on population growth.

4. **Linking Assertion and Reason**: Both the assertion and the reason are correct. The assertion is true because unlimited resources allow for exponential growth, and the reason is also true because the availability of resources directly supports the population's ability to grow.

5. **Conclusion**: Since both the assertion and the reason are correct, and the reason provides a valid explanation for the assertion, we conclude that the correct answer is that both statements are true, and the reason is the correct explanation of the assertion.

**Final Answer**: Both the assertion and reason are correct, and the reason is the correct explanation of the assertion.

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