First slide
Diffraction
Question

For a parallel beam of monochromatic light of wavelength 'λ', diffraction is produced by a single slit whose width ‘a’ is of the order of the wavelength of the light. If ‘D' is the distance of the screen from the slit, the width of the central maxima will be

Moderate
Solution

Given situation is shown in the figure. For central maxima,

 Also, θ is very-very small so 

sinθtanθ=yD

  yD=λa,y=λDa

=2y=2λDa

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