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Assertion : Newton's rings are formed in...

Assertion : Newton's rings are formed in the reflected system. When the space between the lens and the glass plate is filled with a liquid of refractive index greater than that of glass, the central spot of the pattern is bright.
Reason : This is because the reflections in these cases will be from a denser to a rarer medium and the two interfering rays are reflected under similar conditions.

A

If both Assertion `&` Reason are True `&` the Reason is a correct explanation of the Assertion.

B

If both Assertion `&` Reason are True but Reason is not a correct explanation of the Assertion.

C

If Assertion is True but the Reason is False.

D

If both Assertion `&` Reason are False.

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The correct Answer is:
To solve the question regarding Newton's rings and the assertion and reason provided, we can break down the problem step by step. ### Step-by-Step Solution: 1. **Understanding Newton's Rings**: - Newton's rings are a pattern of concentric circles formed due to the interference of light waves reflected from the top surface of a convex lens and the flat glass plate beneath it. 2. **Assertion Analysis**: - The assertion states that when the space between the lens and the glass plate is filled with a liquid of higher refractive index than glass, the central spot of the pattern is bright. - This can be understood by recalling that the central spot is bright when there is constructive interference. 3. **Condition for Bright Central Spot**: - For constructive interference to occur, the path difference between the two reflected rays must be an integral multiple of the wavelength. - When light reflects from a medium of lower refractive index to a higher refractive index, a phase change of π (or half a wavelength) occurs. Conversely, when light reflects from a higher refractive index to a lower refractive index, there is no phase change. 4. **Filling with Liquid**: - If the space is filled with a liquid of higher refractive index than glass, the reflection occurs from a denser medium (liquid) to a rarer medium (air). - This means that there is no phase change upon reflection at the liquid-air interface, and thus the path difference remains conducive for constructive interference. 5. **Conclusion on Assertion**: - Therefore, the assertion is correct: the central spot is bright when the space is filled with a liquid of refractive index greater than that of glass. 6. **Reason Analysis**: - The reason states that reflections in these cases will be from a denser to a rarer medium and that the two interfering rays are reflected under similar conditions. - This is also correct as explained above; the lack of phase change at the liquid-air boundary leads to constructive interference. 7. **Final Evaluation**: - Both the assertion and reason are true, and the reason correctly explains the assertion. ### Final Answer: Both the assertion and reason are true, and the reason correctly explains the assertion.
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