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Q.

Two coherent sources separated by distance d are radiating in phase having wavelength l. 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

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a

sin−1nλd

b

cos−14λd

c

tan−1d4λ

d

cos−1λ4d

answer is B.

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Detailed Solution

Here path difference at a point  P on the circle is given by Δx=dcosθ         ….. (i)For maxima at  PΔx=nλ                ….. (ii)From equation (i) and (ii)nλ=dcosθ ⇒θ=cos−1nλd=cos−14λd
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Two coherent sources separated by distance d are radiating in phase having wavelength l. 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