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  • A parallel beam of monochromatic light of wavelength is incident normal

A parallel beam of monochromatic light of wavelength \mathrm{5000 \, \AA} is incident normally on a single narrow slit of width \mathrm{0.001 \mathrm{~mm}}. The light is focused by a convex lens on a screen placed on the focal plane. The first minimum will be formed for the angle of diffraction equal to:

Option: 1

0^{\circ}


Option: 2

15^{\circ}


Option: 3

30^{\circ}


Option: 4

60^{\circ}


Answers (1)

In single narrow slit, for first minima,
\mathrm{ \begin{aligned} & \mathrm{d} \sin \theta=\lambda \Rightarrow \sin \theta=\frac{\lambda}{\mathrm{d}} \\ & \therefore \quad \theta=\sin ^{-1}\left(\frac{5000 \times 10^{-10}}{0.001 \times 10^{-3}}\right)=30^{\circ} \end{aligned} }

Posted by

Sumit Saini

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