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Interference describes different waves superposing to form a resultant wave of greater, lower, or the same amplitude. Normally, it involves interaction of waves that are correlated (coherent) with each other, either because they come from the same source, or because they have the same or nearly the same frequency. Interference effects can be observed with all types of waves, e.g., light, radio, acoustic, surface, or matter waves.

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Justification of the relationship $s/S<\lambda/d$ for interference fringes to be seen

It further says that when this condition is not satisfied interference patterns produced by different parts of the source overlap and no fringes are seen. … What I ultimately understood is that when the size of the source increases, interference patterns produced by different parts of the source overlap and no fringes are seen. …
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