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In the set up shown in figure, the two s...

In the set up shown in figure, the two slits `S_1` and `S_2` are not equidistant from the slit S. The central fringe at O is then

A

(a) Always bright

B

(b) Always dark

C

(c) Either dark or bright depending on the position of S

D

(d) Neither dark nor bright

Text Solution

Verified by Experts

The correct Answer is:
C
If path difference `Delta=(SS_1+S_1O)-(SS_2+S_2O)=nlambda`,
`n=0, 1, 2, 3, …` the central fringe at O is a bright fringe and if the path difference `Delta=(n-1/2)lambda`, `n=1, 2, 3, …` the central bright fringe will be a dark fringe.
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