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Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : If Young's double slit experiment is performed in an optically denser medium than air, then the consecutive fringes come closer. Reason (R) : The speed of light reduces in an optically denser medium than air while its frequency does not change. In the light of the above statements, choose the most appropriate answer from the options given below :

1. Both (A) and (R) are true and (R) is the correct explanation of (A)
2. (A) is false but (R) is true.
3. Both (A) and (R) are true but (R) is not the correct explanation of (A)
4. (A) is true but (R) is false.

Correct answer: Both (A) and (R) are true and (R) is the correct explanation of (A)

Solution

The assertion is correct because in a denser medium, the wavelength of light decreases, leading to closer fringe spacing in Young's double slit experiment. The reason accurately explains this phenomenon, as the reduction in the speed of light in a denser medium while maintaining frequency results in a shorter wavelength.

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