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

Question

Quizplus · Accepted Answer

This statement is true. The path difference between the two slits for the condition of dark fringes when m = +2 is given by 2d sin θ = mλ, where d is the distance between the slits, θ is the angle between the incident light and the normal to the slits, m is the order of the fringe, and λ is the wavelength of the light. Substituting m = +2, we get 2d sin θ = 2λ, which gives a path difference of 3λ/2 for a single slit.

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