Two ideal slits $$S1$$ and $$S2$$ are at a distance d apart, and illuminated by light of wavelength λ passing through an ideal source slit S placed on the line through $$S2$$ as shown. The distance between the planes of slits and the source slit is D. A screen is held at a distance D from the plane of the slits. The minimum value of d for which there is darkness at O is

Question

Two ideal slits $$S1$$ and $$S2$$ are at a distance d apart, and illuminated by light of wavelength λ passing through an ideal source slit S placed on the line through $$S2$$ as shown. The distance between the planes of slits and the source slit is D. A screen is held at a distance D from the plane of the slits. The minimum value of d for which there is darkness at O is

Infinity Learn · Accepted Answer

Δ$$x=$$λ$$2$$ $$SS1+S1O$$−$$(SO)=$$λ$$22D2+d2$$−$$2D=$$λ$$22D1+d22D2$$−$$1=$$λ$$2d=$$λ$$D2$$

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