Q.

Two coherent point sources A and B are at separation d=3λ2, where λ is wavelength of light emitted by these sources. The oscillations of source B lag in phase behind the oscillations of source A by π. The point P is at angular position  θ as indicated in figure. Then

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a

At  θ=cos1(13), P is point of maximum

b

At  θ=sin1(23), P is point of minimum

c

At  θ=00, P is point of minimum

d

At θ=π, P is point of maximum

answer is A, D.

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Detailed Solution

3λ2cosθ=λ2 for maxima
θ=cos1(13) 
 3λ2cosθ=λ
For minima,
θ=cos1(23)  and  ,  at  θ=π, maximum occurs. 

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