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MHT CET202526 Apr 2025Evening ShiftPhysicsWave OpticsActual

Graph shows the variation of fringe width ( X ) versus distance of the screen from the plane of the slits (D) in Young's double slit experiment. (keeping other parameters same, d = distance between the slits). The wavelength of light used can be calculated as

Options

  1. Aslope d ^2
  2. Bd slope
  3. Cslope d
  4. Dslope d

Correct answer

D. slope d

Step-by-step solution

Fringe width in Young's double-slit experiment is given by X = D d , where is the wavelength, D is the screen distance, and d is the slit separation. Rewriting as X = ( d ) D shows X is proportional to D , consistent with the observed linear graph through the origin. The slope of the X vs D plot is d , so = slope d . Thus, the wavelength equals the product of the graph's slope and the slit separation. Answer: D

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