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# Two coherent sources of light $S_1$ and $S_2$ are placed in a line as shown. Two screens are placed perpendicular to $S_1S_2$ at A and B . It is observed that at point P a bright fringe is seen , then at point Q.

(a)dark fringe occurs

(b)bright fringe occurs

(c)no fringe is seen

(d)screen B will be completely bright

The path difference at point A due to light from source at $S_1$ and $S_2$ is
$S_2 A -S_2 A =S_2 -S_1$
Since A is a bright point $|S_2 -S_1|$ must be an integral multiple of $\lambda$
At B also the path difference is $S_1 B -S_2 B =|S_1 -S_2|$
Which is an integral multiple of X
$\therefore$ B is also a bright point .
Hence d is the correct answer.