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In Fresnel's biprism experiment, if the distance between the slits is gradually increased, the fringe width in the interference fringe pattern obtained will:

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  1. decrease
  2. increase
  3. remain unchanged
  4. first increase and then decrease

Answer (Detailed Solution Below)

Option 1 : decrease
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Detailed Solution

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Fresnel Bi-prism: 

  • It is an optical device of producing interference of light by joining two bases thin prism at a very small angle.
  • When a monochromatic light source is kept in front of bi-prism two coherent virtual sources are produced.
  • The Interference fringes are produced behind the bi-prism in a limited area and can see with the help of an eyepiece.
  • Fringe width will be calculated with simple calculations.

where,

λ = wavelength of source light,

D = distance between source and screen,

d = distance between two virtual coherent sources

Observation:

From the above equation, it is clear that the fringe width is inversely proportional to the distance between two virtual coherent sources.

Hence, if the distance between the slits (distance between two virtual coherent sources) is gradually increased, the fringe width in the interference fringe pattern obtained will decrease.

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