A: The speed of light, sound waves, water waves in a medium is independent of the nature of the source of intensity (so long it is low).
R: Speed of the waves in a medium depends on wavelength.

Options

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

Answer

To solve the question, we need to analyze the assertion (A) and the reason (R) given in the problem.

### Step-by-Step Solution:

1. **Understanding the Assertion (A)**:
- The assertion states that the speed of light, sound waves, and water waves in a medium is independent of the nature of the source of intensity (as long as it is low).
- This means that regardless of how intense the source is (as long as it is not too intense), the speed of these waves remains constant in a given medium.

2. **Understanding the Reason (R)**:
- The reason states that the speed of the waves in a medium depends on the wavelength.
- The speed of a wave in a medium can be expressed by the formula:
\[ v = f \cdot \lambda \]
where \( v \) is the speed of the wave, \( f \) is the frequency, and \( \lambda \) is the wavelength.

3. **Analyzing the Relationship**:
- The assertion is correct because the speed of waves in a medium is indeed independent of the source intensity.
- The reason is also correct in that the speed of waves in a medium can depend on the wavelength, but it is important to note that the wavelength is related to the frequency and the speed of the wave.

4. **Conclusion**:
- Both the assertion and the reason are correct statements.
- However, the reason does not provide a correct explanation for the assertion. The assertion is about the independence of speed from intensity, while the reason discusses the relationship between speed, frequency, and wavelength.

5. **Final Answer**:
- Therefore, the correct conclusion is that both the assertion and reason are correct, but the reason is not the correct explanation for the assertion. The answer is Option 2.