Assertion : The fringe closest on either side of the central white fringe in case of interference pattern due to white light is red and the farthest appears blue.
Reason : The interference patterns due to different component colours of white light overlap.

Options

A. If both assertion and reason are true and reason is the correct explanation of assertion.
B. If both assertion and reason are true but reason is not the correct explanation of assertion.
C. If assertion is true but reason is false.
D. If both assertion and reason are false.

Explanation

To solve the question regarding the assertion and reason related to the interference pattern due to white light, we will break down the concepts step by step.

### Step-by-Step Solution:

1. **Understanding the Assertion**:
- The assertion states that the fringe closest on either side of the central white fringe in an interference pattern due to white light appears red, while the farthest fringe appears blue.
- In an interference pattern created by white light, the central fringe is white because it is the result of constructive interference of all the colors present in white light.

**Hint**: Consider how different wavelengths of light contribute to the color seen in the interference pattern.

2. **Analyzing the Wavelengths**:
- The wavelengths of light in the visible spectrum vary, with red light having a longer wavelength (approximately 6000-8000 Å) and blue light having a shorter wavelength (approximately 4000 Å).
- The position of the fringes in an interference pattern is determined by the wavelength of the light used.

**Hint**: Recall the relationship between wavelength and fringe separation in interference patterns.

3. **Fringe Positioning**:
- In an interference pattern, the fringe separation (or fringe width) is inversely proportional to the wavelength of the light. Thus, fringes for red light (longer wavelength) will be spaced further apart than those for blue light (shorter wavelength).
- Therefore, the closest fringes to the central white fringe will be red, while the farthest fringes will be blue.

**Hint**: Think about how the path difference affects the color seen at different positions in the interference pattern.

4. **Understanding the Reason**:
- The reason states that the interference patterns due to different component colors of white light overlap.
- This is true, as white light is composed of multiple colors, and each color will create its own interference pattern. However, this overlapping does not directly explain why the closest fringe is red and the farthest is blue.

**Hint**: Differentiate between the truth of the reason and its relevance to the assertion.

5. **Conclusion**:
- The assertion is true because the closest fringes are indeed red and the farthest are blue due to the properties of light interference.
- The reason is also true, but it does not adequately explain the assertion. Therefore, the correct answer is that the assertion is true, and the reason is true but not a correct explanation of the assertion.

### Final Answer:
- Assertion: True
- Reason: True, but not the correct explanation of the assertion.