A light wave of wavelength $\lambda^{\prime}$ is incident on a slit of width 'd'. The resulting diffraction…

A light wave of wavelength $\lambda^{\prime}$ is incident on a slit of width 'd'. The resulting diffraction pattern is observed on a screen at a distance 'D'. If linear width of the principal maxima is equal to the width of the slit, then the distance 'D' is
  1. $\frac{\mathrm{a}}{\lambda}$
  2. $\frac{2 \lambda}{\mathrm{d}}$
  3. $\frac{\mathrm{d}^{2}}{2 \lambda}$
  4. $\frac{2 \lambda^{2}}{\mathrm{~d}}$

Solution

$\begin{array}{l} \beta=\frac{2 \lambda D}{d}=d \\ \therefore D=\frac{d^{2}}{2 \lambda} \end{array}$ .

Asked in: MHT CET 2020 (16 Oct Shift 2)

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