A screen is placed at 50 cm from a single slit, which is illuminated with light of wavelength 600 nm. If separation between the 1^ st and 3^ rd minima in the diffraction pattern is 3 mm then slit width is

Step-by-step solution

The position of nth minima in the diffraction pattern aligned & x _ n = nD ~d & aligned x ₃ & - x ₁=(3-1) D ~d & = 2 D ~d ~d & = 2 D x ₃- x ₁ & = 2 0.5 600 10⁻⁹ 3 10⁻³ & =0.2 ~mm aligned aligned