Consider the following statement A and B and identify the correct answer
A) In the case of narrow source of light coherent sources are obtained by the division of wave front
B) Diffraction is due to interference of light from secondary sources of the same wave front whereas interference is due to superposition of two waves derived from the same source.

Options

A. A is false but B is true
B. A is true but B is false
C. Both A and B are true
D. Both A and B are false

Answer

To analyze the statements A and B, we will evaluate each one step by step.

### Step 1: Evaluate Statement A
**Statement A:** "In the case of narrow source of light, coherent sources are obtained by the division of wave front."

1. **Understanding Coherent Sources:** Coherent sources are sources that emit waves with a constant phase difference. They are essential for producing interference patterns.
2. **Division of Wave Front:** When a wave front encounters an obstacle or aperture, it can be divided into smaller wave fronts. This division can create coherent sources.
3. **Narrow Source of Light:** A narrow source of light can be considered as a point source, which can produce a spherical wave front. When this wave front is divided (for example, by a single slit), it can create two or more coherent sources.

**Conclusion for Statement A:** This statement is true.

### Step 2: Evaluate Statement B
**Statement B:** "Diffraction is due to interference of light from secondary sources of the same wave front whereas interference is due to superposition of two waves derived from the same source."

1. **Understanding Diffraction:** Diffraction refers to the bending of waves around obstacles and the spreading of waves when they pass through narrow openings. It occurs due to the interference of waves emanating from secondary sources.
2. **Secondary Sources:** When a wave front encounters an obstacle, each point on the wave front can act as a secondary source of waves. The interference of these waves leads to the diffraction pattern.
3. **Understanding Interference:** Interference occurs when two or more waves overlap and combine. For interference to occur, the waves must have a constant phase relationship, which is typically achieved when they originate from the same source or are coherent.

**Conclusion for Statement B:** This statement is also true.

### Final Conclusion
Both statements A and B are correct.

### Summary of the Solution
- Statement A is true because coherent sources can be obtained by the division of a wave front from a narrow source of light.
- Statement B is true as diffraction results from the interference of light from secondary sources of the same wave front, while interference arises from the superposition of waves from the same source.

### Final Answer
Both A and B are true.

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