Wave Optics

Two coherent sources S1 and S2S_{1}~and~S_{2} separated by distance 2λ2 \lambda emit light of wavelength λ\lambda, in phase as shown. A circular wire of radius 100λ100 \lambda is placed in such a way that S1S2S_{1}S_{2} lies in its plane and the mid point of S1S2S_{1}S_{2} is at the centre of wire. The angular positions on the wire for which intensity reduces to half of its maximum value for the first time is given as θ\theta. Find the value of 32cosθ32cos \theta

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