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Question

Two coherent sources separated by distance d are radiating in phase having wavelength λ. 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
1096098_00f63ccc5adf4a398fed26b83c563737.png

A
sin1nλd
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B
cos14λd
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C
tan14λd
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D
cos1λ4d
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Solution

The correct option is B cos14λd
Path different at a point P on a circle is given by Δx=dcosθ(i)
for maxima at P, Δx=nλ(ii)
nλ=dcosθ, from (i) & (ii)
[B]
θ=cos(nλd),Putn=4θ=cos(4λd)

1215057_1096098_ans_060ecea8168249c693659645635b0e16.png

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