Light of wavelength ' $\lambda$ ' is incident on a single slit of width ' $a$ ' and distance between slit…

Light of wavelength ' $\lambda$ ' is incident on a single slit of width ' $a$ ' and distance between slit and screen is ' $D$ '. In diffraction pattern, if slit width is equal to the width of the central maximum then $\mathrm{D}=$
  1. $\frac{\mathrm{a}^2}{\lambda}$
  2. $\frac{\mathrm{a}}{\lambda}$
  3. $\frac{a^2}{2 \lambda}$
  4. $\frac{\mathrm{a}}{2 \lambda}$

Solution

Width of central maximum $=\frac{2 \lambda \mathrm{D}}{\mathrm{a}}=\mathrm{a}$ $\therefore \mathrm{D}=\frac{\mathrm{a}^2}{2 \lambda}$

Asked in: MHT CET 2021 (20 Sep Shift 2)

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