Question

prove that if smaller the width of slit larger will be width of diffracted beam​

Answer 1

Diffraction is the spreading out of waves as they pass through an aperture or around objects. It occurs significantly when the size of the aperture or obstacle is of similar linear dimensions to the wavelength of the incident wave. It happens when a part of the travelling wavefront is obscured. For very small aperture sizes, the vast majority of the wave is blocked. For large apertures the wave passes by or through the obstacle without any significant diffraction, and that largely at the edges.

In an aperture with width smaller than the wavelength, the wave transmitted through the aperture spreads all the way round and behaves like a point source of waves (they spread out below).

This is shown in the diagram below:

Figure 1

Wave scattering as it passes through a thin slit.

Single slit diffraction when a wave passes through an aperture with width smaller than the wavelength (<). For a significant amplitude of the wave to pass through, the aperture must be close to the size of the wavelength.

I hope helpfull plz mark me branlist