Q.
A light ray of wavelength 600nm is incident on young's double slit experiment. Distance between slits is 2mm and 5th bright fringe is at a distance of 3mm from central maxima, find the distance between slits and screen:
Given, λ=600nm=600×10−9m d=2mm=2×10−3m
n = 5 and xn=3mm=3×10−3m
Position of nth bright fringe from central maxima is, xn=dnλD=nβ;n = 0, 1, 2, .... ⇒3×10−3=2×10−35×600×10−9D ⇒D=5×600×10−33×10−3×2×10−3=2m