In YDSE, bichromatic light of wavelengths and is used. The maxima due to both lights…

PHYSICS · Single correct · CBSE · Physics · Wave Optics · Wave Optics

Problem

In YDSE, bichromatic light of wavelengths λ1\lambda_1 and λ2\lambda_2 is used. The maxima due to both lights overlap at a distance yy from the central maximum. If the slit separation is dd and the screen distance is DD, then yy is (1) (λ1+λ22D)d\left(\frac{\lambda_1+\lambda_2}{2D}\right)d (2) (λ1−λ2D)2d\left(\frac{\lambda_1-\lambda_2}{D}\right)2d (3) LCM⁡(λ1Dd,λ2Dd)\operatorname{LCM}\left(\frac{\lambda_1D}{d},\frac{\lambda_2D}{d}\right) (4) HCF⁡(λ1Dd,λ2Dd)\operatorname{HCF}\left(\frac{\lambda_1D}{d},\frac{\lambda_2D}{d}\right)

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