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Young's double-slit experiment is performed in a liquid. The 10 t h bright fringe in case of the liquid lies where 6 t h bright fringe lies in a vacuum. The refractive index of the liquid approximately is

Options

  1. A1.8
  2. B1.54
  3. C1.67
  4. D1.2

Correct answer

C. 1.67

Step-by-step solution

Fringe width in air is given by β a i r = λ D d Fringe width in liquid will be, β l i q = λ D μ d (as λ l i q = λ a i r μ ) 6 β a i r = 1 0 β l i q 6 λ D d = 1 0 λ D μ d μ = 1 0 6 = 1.67

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