In the two-slit experiment, for the condition of dark fringes, the value of m = +1 corresponds to a path difference of 3λ/2.

Name: In the two-slit experiment, for the condition of dark fringes, the value of m = +1 corresponds to a path difference of 3λ/2.
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For dark fringes, the path difference between the two slits should be an odd multiple of half of the wavelength λ, i.e., (2n - 1)λ/2, where n is an integer. So for m = +1, the path difference would be λ/2, not 3λ/2.

In the Two-Slit Experiment, for the Condition of Dark Fringes