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A: The phase difference between any two ...

A: The phase difference between any two points on a wavelength is zero.
R:Corresponding to a beam of parallel rays of light the wavefronts, are planes parallel to one another.

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)

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion (A) and the reason (R) given in the problem. ### Step 1: Analyze the Assertion (A) The assertion states: "The phase difference between any two points on a wavelength is zero." 1. **Understanding Phase Difference**: - The phase difference between two points in a wave is defined as the difference in the phase of the wave at those two points. - For any two points that are separated by a distance equal to the wavelength (λ), the phase difference is 2π radians, which corresponds to one complete cycle of the wave. 2. **Conclusion about Assertion**: - The assertion is **false** because the phase difference between two points on a wavelength is not zero; it is 2π for points that are one wavelength apart. ### Step 2: Analyze the Reason (R) The reason states: "Corresponding to a beam of parallel rays of light, the wavefronts are planes parallel to one another." 1. **Understanding Wavefronts**: - A wavefront is defined as the surface over which an oscillation has a constant phase. - For a beam of parallel rays of light, the wavefronts are indeed planar and parallel to each other, as they propagate in the same direction. 2. **Conclusion about Reason**: - The reason is **true** because parallel rays of light create wavefronts that are planes and parallel to one another. ### Step 3: Determine the Relationship Now we need to determine if there is a relationship between the assertion and the reason. 1. **Relationship Analysis**: - The assertion and the reason are both true statements, but they pertain to different aspects of wave optics. - The assertion discusses phase difference, while the reason discusses the nature of wavefronts for parallel rays. ### Final Conclusion Based on the analysis: - Assertion (A) is **false**. - Reason (R) is **true**. - There is no direct relationship between the two. ### Answer The correct answer is: **Option 2** (Both A and R are true, but R is not the correct explanation of A).
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