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A michelson interferometer is set up using a 432nm laser light. A n=1.5 glass is placed...

A michelson interferometer is set up using a 432nm laser light. A n=1.5 glass is placed on one of the two legs. if the glass is made thicker without changing the index of refraction, how many fringes pass as the glass is made thicker by 6um?

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Answer #1

The optical path difference between the two legs is
   
where, x is the thickness of the glass and the factor of 2 is because light traverses twice in the leg through the glass in the michelson interferometer, once before reflection and once after the reflection from one of the mirrors used in the michelson interferometer set up. So, if there are N consecutive bright or dark fringes passes, then
   

Now, putting the given values, we get
  

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