Q.

In the arrangement shown L1, L2 are slits and S1, S2 two independent sources on the screen, interference fringes

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a

will not be there

b

will not be there if the intensity of light reaching the screen from S1 and S2 are equal.

c

will be there under all circumstances

d

will have only the central fringe

answer is B.

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Detailed Solution

On the screen, we have four amplitudes pair wise coherent.  A1+A2+A3+A4≡A12+A34  However, if A12 and A34 have equal magnitude because of random   phase of A12 and A34, no fringes will be seen.
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In the arrangement shown L1, L2 are slits and S1, S2 two independent sources on the screen, interference fringes