32. For a parallel beam of monochromatic light of wavelength ’ λ ’, diffraction is produced by a single slit whose width ’ a ’ is 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 :

32. For a parallel beam of monochromatic light of wavelength ’ λ ’, diffraction is produced by a single slit whose width ’ a ’ is 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 :

(a) \(\frac{D\lambda}{a}\)

(b) \(\frac{Da}{\lambda}\)

(c) \(\frac{2Da}{\lambda}\)

(d) \(\frac{2D\lambda}{a}\)

Answer :  (d) \(\frac{2D\lambda}{a}\)