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JEE Main 2024 (27 Jan, Shift 2) · Diffraction at a Single Slit

Diffraction at a Single Slit question from JEE Main 2024 (27 Jan, Shift 2)

Q27JEE Main 2024 · 27 JAN · SHIFT 2Easy

Diffraction at a Single Slit

A parallel beam of monochromatic light of wavelength 5000 $\text{\AA}$ is incident normally on a single narrow slit of width $0.001\text{ mm}$ . The light is focused by convex lens on screen, placed on its focal plane. The first minima will be formed for the angle of diffraction of _________ (degree).

Numerical answer type. Work it out, then open the answer.

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Answer: 30

First minimum: $a\sin\theta = \lambda$ .
$\sin\theta = \dfrac{5000\times10^{-10}}{0.001\times10^{-3}} = \dfrac{5\times10^{-7}}{10^{-6}} = 0.5$
So $\theta = 30^\circ$ .

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