Optics Question 162

Question: Two coherent sources separated by distance d are radiating in phase having wavelengthl. A detector moves in a big circle around the two sources in the plane of the two sources. The angular position of n = 4 interference maxima is given as

Options:

A) sin1nλd

B) cos14λd

C) tan1d4λ

D) cos1λ4d

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Answer:

Correct Answer: B

Solution:

Here path difference at a point P on the circle is given by Δx=dcosθ … (i)

For maxima at P

Δx=nλ … (ii)

From equation (i) and (ii) nλ=dcosθθcos1(nλd)=cos1(4λd)



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