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If mirror M2in a Michelson interferometer (fig 35-21) is moved through 0.233mm, a shift of 792 bright fringes occurs. What is the wavelength of the light producing the fringe pattern?

Short Answer

Expert verified

The wavelength of light producing is λ=588nm.

Step by step solution

01

Given data

The mirror M2 is moved by Δx=0.233mm  or0.233×10-3 m

The number of shifted fringes ns=792

02

Concept of Michelson interferometer

Fiber optic Michelson interferometer employs the same principle of splitting a laser beam and inserting the optical path difference between the arms.

03

Determine wavelength of the light producing the fringe pattern

From Michelson’s interferometer, the change in phase shift is

Δx=12nsλλ=2Δxns

So,

λ=2×0.233×10-3 m792λ=588.384nmλ=588nm

Hence, the wavelength of light producing is λ=588nm.

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