Diffraction

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Question

A parallel beam of light of wavelength $λ$ is incident normally on a single slit of width d. Diffraction bands are obtained on a screen placed at a distance D from the slit. The second dark band from the central bright band will be at a distance given by :

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Solution

For $2^{n d}$ Secondary minima $d θ = 2 λ$
$\begin{array}{l} d \frac{S}{D} = 2 λ \\ S = \frac{2 λ D}{d} \end{array}$

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