# Wave Optics

Two coherent sources $$S_{1}~and~S_{2}$$ separated by distance $$2 \lambda$$ emit light of wavelength $$\lambda$$, in phase as shown. A circular wire of radius $$100 \lambda$$ is placed in such a way that $$S_{1}S_{2}$$ lies in its plane and the mid point of $$S_{1}S_{2}$$ 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 $$\theta$$. Find the value of $$32cos \theta$$

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