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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