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What is the angular width of the central maximum in single-slit diffraction?

The angular width of the central maximum in single-slit diffraction refers to the angle over which the central bright fringe extends on either side of the central axis.

In simple terms, when light passes through a narrow slit and forms a diffraction pattern on a screen, the central maximum is the brightest and widest part. This central bright fringe is bordered by the first dark fringes (minima) on either side.

Key Concepts:

  • The angular width is defined as the angle between the first minima on either side of the central maximum.
  • It depends on the wavelength of light and the width of the slit.
  • If the slit is narrower, the angular width is broader.
  • If the slit is wider, the angular width is narrower.
  • A larger wavelength (like red light) results in a wider central maximum compared to a smaller wavelength (like blue light).

So, the angular width shows how “spread out” the central maximum appears due to diffraction and is a crucial factor in the resolution and performance of optical instruments like microscopes and telescopes.

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