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Q.

Two points monochromatic and coherent sources of light of wavelength λ each are placed as shown in figure. The initial phase difference between the sources is zero O. (D >> d). Mark the correct statement(s).

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a

If d=7λ2, O will be a minima.

b

If d=λ, only one maxima can be observed on the screen.

c

If d=4.8 λ, then total 10 minima would be there on the screen

d

If d=5λ2, the intensity at O would be minimum.

answer is A.

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Detailed Solution

Δx at O=d [path difference is maximum at O]

So, if d=7λ2, O will be a minima. If d=λ, O will be a maxima.

If d=5λ2, O will be a minima and hence intensity is minimum. 

If d=4.8 λ, then total 10 minima can be observed on the screen, 5 above O and 5 below O, which correspond to

           Δx=±λ2,±3λ2,±5λ2,±7λ2,±9λ2

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