In the set up shown in the Fig the two slits, S1 and S2 are not equidistant from the slit S. The central fringe at O is then:

Correct answer: C. Either dark or bright depending on the position of S

  • A. Always bright
  • B. Always dark
  • C. Either dark or bright depending on the position of S
  • D. Neither dark nor bright.

Explanation

When the slits are not equidistant, the central fringe at O can vary in brightness. This is because the path length difference between the two slits and the central point will impact the interference pattern. If the path length difference is a multiple of the wavelength, the central fringe will be bright; if it is half a wavelength or an odd multiple of half a wavelength, the central fringe will be dark. The other options are incorrect as they do not consider the impact of the slit positions on the interference pattern.

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