When both diffraction and interference are taken into account in the double-slit experiment, discuss the effect of decreasing (a) the wavelength, (b) the slit separation, (c) the slit width
The fringe width of interference pattern is β = λ D/d
Where λ is the wavelength of light, D is the distance of the screen from the slits and d is the slit separation.
The linear width of the principal maximum in the diffraction pattern is X = 2 λ D/a where a is the slit width.
On decreasing wavelength of light:
The fringes become narrow in both interference and diffraction patterns.
On decreasing slit separation:
The interference fringes become more wider.
On decreasing slit width:
The width of fringes in diffraction pattern will be increased. The intensity of fringes in both interference and diffraction patterns increases.
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