Answer :

(a)In the problem, it’s given BP0 - AP0 = λ/3


From the figure and using Pythagoras theorem,





Ignoring as its small as compared to others.



(b) The distance of from the line in the middle of B and C is


The path difference between waves coming from B and C is


This means that they are in phase.


But the wave coming from A has a phase difference,


Let the amplitude from each slit be a. Therefore, contribution from B and C is 2a.


And the resultant intensity taking in consideration the phase difference,



Therefore, the ratio of total intensity by individual intensity is




So the intensity at P0 is three times the individual intensity.


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