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Question

Which of the following incident light wavefronts is most suitable for observing a single slit diffraction pattern?

The correct answer is

Plane wavefront only

Single Slit Diffraction Pattern

When studying diffraction, especially from a single slit, the type of incident light wavefront plays a crucial role in the nature and clarity of the observed diffraction pattern. The question asks about the most suitable incident light wavefront for observing a single slit diffraction pattern.

Understanding Diffraction and Wavefronts

Diffraction is the bending of waves as they pass around the edge of an obstacle or through an aperture. For light, diffraction patterns are typically observed when light passes through a narrow slit or around a small object. There are two main types of diffraction:

  • Fraunhofer Diffraction: This occurs when both the source of light and the observing screen are effectively at infinite distances from the diffracting obstacle. In practical terms, this is achieved by using lenses to make the light rays parallel before they hit the obstacle and to focus the diffracted light onto the screen.
  • Fresnel Diffraction: This occurs when either the source or the screen, or both, are at finite distances from the diffracting obstacle. The wavefronts involved are typically curved (spherical or cylindrical).

Wavefront Suitability for Single Slit Diffraction

For observing a clear and distinct single slit diffraction pattern, particularly the one commonly referred to and analyzed in introductory physics, the conditions of Fraunhofer diffraction are preferred. Here's why:

  • Plane Wavefront:
    • A plane wavefront consists of parallel light rays. This condition is essential for Fraunhofer diffraction.
    • When a plane wavefront illuminates a single slit, the resulting diffraction pattern (a central bright maximum with alternating dark and bright fringes of decreasing intensity) is well-defined, stable, and relatively easy to analyze mathematically.
    • To achieve a plane wavefront from a point source, the source is usually placed at the focal point of a converging lens, which then produces a parallel beam of light.
  • Spherical Wavefront or Cylindrical Wavefront:
    • These wavefronts originate from point sources or line sources, respectively, that are at a finite distance from the slit.
    • When a spherical or cylindrical wavefront illuminates the slit, it leads to Fresnel diffraction. The pattern produced is generally more complex, less sharp, and varies significantly with the distance between the source, slit, and screen.
    • While Fresnel diffraction patterns do exist, they are not what is typically meant by "observing a single slit diffraction pattern" in a general context, which usually implies the simpler, clearer Fraunhofer pattern.

Therefore, to observe a standard, clearly discernible single slit diffraction pattern, a plane wavefront is the most suitable choice as it facilitates Fraunhofer diffraction conditions.

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Important Questions from Diffraction

  1. In the dispersion of white light by a common glass prism, which one among the following is correct?

  2. In a double-slit experiment, when light of wavelength $\text{600 nm}$ is used, the central maximum and the second bright fringe are separated by $\text{3 mm}$ on a screen placed $\text{1.5 m}$ away. If the entire apparatus is then immersed in a liquid with a refractive index of $\text{1.5}$, what will be the angular separation between the first and fourth dark fringes?

  3. Which one of the following statements about X-rays is not true?

  4. When light passes from air to water, the angle of refraction is:

  5. The primary rainbow appears after the rain is due to

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