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β' = β/μ = 0.4/4 = 0.3 mm. If the whole YDSE setup is taken in another medium, then λ changes. So β changes.

  1. β = βa/μw
  2. β = 3/4 βa
  3. β = 4/3 βa
  4. β = βa/μa

Correct answer: β = 3/4 βa

Solution

In Young's Double Slit Experiment (YDSE), the fringe width β is inversely proportional to the refractive index μ of the medium. If the medium changes, the new fringe width β is given by β = βa/μ, where βa is the fringe width in air. Thus, β = 3/4 βa.

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