> Q. Assertion : The pattern and position of fringes always remain same even after the introduction of transparent medium in a path of one of the slit. Reason : The central fringe is bright or dark depends upon the initial phase difference between the two coherence sources. – LIVE ANSWER TODAY

Q. Assertion : The pattern and position of fringes always remain same even after the introduction of transparent medium in a path of one of the slit. Reason : The central fringe is bright or dark depends upon the initial phase difference between the two coherence sources.

In This post you will get answer of Q.
Assertion : The pattern and position of fringes always remain same even after the introduction of transparent medium in a path of one of the slit.
Reason : The central fringe is bright or dark depends upon the initial phase difference between the two coherence sources.

Solution:

If a transparent medium of thickness $t$ and refractive index $mu$ is introduced in the path of one of the slits, then effective path in air is increased by an amount $(mu-1) t$ due to introduction of plate. Therefore, the zeroth fringe shifts to a new position where the two optical paths are equal. In such case fringe width remains unchanged.

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