Answer :
Let the intensity of slits and
be
. For
and
, The distance from the central maximum is
.
So the path difference is
Given,
And the corresponding phase difference is
Now, intensity at each slit is given by
Here, P is also central maxima. So the intensity is
(a)For ,
and
Therefore, intensity at each slit is
.
This means that both slits and
would be dark. Thus intensity at P would be zero.
(b)For ,
and
Therefore, intensity at each slit is
.
Hence intensity at P is
(c)For ,
and
Therefore, intensity at each slit is
.
Hence intensity at P is
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