In a Young's double-slit experiment, the angle that locates the second dark fringe on either side of the central bright fringe is 5.4. Find the ratio d / of the slit separation d to the wavelength of the light. (d / λ) = ?

d / λ = 26.7

Explanation:

In Young's double slit experiment, constructive interference is described by the expression

d sin θ = m λ

In the case of destructive interference we must add half wavelength (λ/2)

d siyn θ = (m + ½) λ

Let's clear

d / λ = (m + ½) / sin θ

Let's calculate

d / λ = (2 + ½) / sin 5.4

d / λ = 5 / (2 sin 5.4)

d / λ = 26.7