Question
If the path difference between the slits $S_1$​ and $S_2​$ is $\lambda$, the central fringe will have an intensity of$:$

Answer

Path difference at the central fringe will be the same as the path difference at the slits i.e. $\lambda$.
Hence, the waves reaching the central fringe will be $180^\circ$ out of phase and will result in destructive interference.
Hence, the intensity of the central fringe will be $0.$

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