Question:

: The fringe closest on either side of the central white fringe in case of interference pattern due to white light is red and the farthest appears blue. : The interference patterns due to different component colours of white light overlap.

Updated On: Jul 6, 2022
  • If both assertion and reason are true and reason is the correct explanation of assertion
  • If both assertion and reason are true but reason is not the correct explanation of assertion
  • If assertion is true but reason is false
  • If both assertion and reason are false
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The Correct Option is C

Solution and Explanation

The interference patterns due to different component colours of white light overlap incoherently.
The central bright fringes for different colours are at the same position. Therefore, the central fringe is white. For a point $P$ for which $S_2 P - S_1 P = \frac{\lambda_b}{2}$ where $\lambda_b \approx 4000 ?$ represents the wavelength for the blue colour, the blue component will be absent and the fringe will appear red in colour. Slightly farther away where $S_2Q ? where $\lambda_r \approx 8000 ?$ is the wavelength for the red colour, the fringe will be predominantly blue. Thus the fringe closest on either side of the central white fringe is red and the farthest will appear blue.
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Concepts Used:

Wave Optics

  • Wave optics are also known as Physical optics which deal with the study of various phenomena such as polarization, interference, diffraction, and other occurrences where ray approximation of geometric optics cannot be done. Thus, the section of optics that deals with the behavior of light and its wave characteristics is known to be wave optics.
  • In wave optics, the approximation is carried out by utilizing ray optics for the estimation of the field on a surface. Further, it includes integrating a ray-estimated field over a mirror, lens, or aperture for the calculation of the transmitted or scattered field.
  • Wave optics stands as a witness to a famous standoff between two great scientific communities who devoted their lives to understanding the nature of light. Overall, one supports the particle nature of light; the other supports the wave nature.
  • Sir Isaac Newton stood as a pre-eminent figure that supported the voice of particle nature of light, he proposed a corpuscular theory which states that “light consists of extremely light and tiny particles, called corpuscles which travel with very high speeds from the source of light to create a sensation of vision by reflecting on the retina of the eye”.