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A thin paper of thickness 0.02 mm having refractive index 1.45 is pasted across one of the slits in a Young's double slit experiment. The paper transmits 4 / 9 of light falling on it. ( _ light =600 ~nm )

Options

  1. AAmplitude of light wave transmitted through the paper will be 2 / 3 times that of incident wave.
  2. BThe ratio of maximum and minimum intensity in the fringe pattern will be 25 .
  3. CThe total number of fringe crossing the centre if an identical paper is pasted on the other slit is 15 .
  4. DThe ratio of maximum and minimum intensity in the pattern will be 5 .

Correct answer

C. The total number of fringe crossing the centre if an identical paper is pasted on the other slit is 15 .

Step-by-step solution

aligned & I_ I_ = (a₁+a₂ )^2 (a₁-a₂ )^2 & a₁ a₂ = l₁ I₂ = 4 9 = 2 3 & I_ I_ =25 aligned If an identical paper is pasted across second slit shifted C.B.F. will back in central point. shift =( -1) tD d fringe width = n D d n = shift fringe width = ( -1) t =15 .

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