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JEE Main201912 Apr 2019Morning ShiftPhysicsWave OpticsActual

In a double slit experiment, when a thin film of thickness t having refractive index μ is introuduced in front of one of the slits, the maximum at the centre of the fringe pattern shifts by one fringe width. The value of t is ( λ is the wavelength of the light used):

Options

  1. Aλ 2 ( μ - 1 )
  2. Bλ ( 2 μ - 1 )
  3. C2 λ ( μ - 1 )
  4. Dλ ( μ - 1 )

Correct answer

D. λ ( μ - 1 )

Step-by-step solution

Shift = μ - 1 t D d Fringe width ( β ) = λ D d ( μ - 1 ) t D d = λ D d t = λ μ - 1

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