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Chapter 35: Q79P (page 1078)

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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Most popular questions from this chapter

Add the quantities y1=10sinωt, y2=15sin(ωt+30°)andy3=5sin(ωt-45°) using the phasor method

Suppose that Young’s experiment is performed with blue-green light of wavelength 500 nm. The slits are 1.20 mm apart, and the viewing screen is 5.40 m from the slits. How far apart are the bright fringes near the center of the interference pattern?

Two rectangular glass plates (n=1.60) are in contact along one edge (fig-35-45) and are separated along the opposite edge . Light with a wavelength of 600 nm is incident perpendicularly onto the top plate. The air between the plates acts as a thin film. Nine dark fringes and eight bright fringes are observed from above the top plate. If the distance between the two plates along the separated edges is increased by 600 nm, how many dark fringes will there then be across the top plate.

White light is sent downward onto a horizontal thin film that is sandwiched between two materials. The indexes of refraction are 1.80for the top material, 1.70for the thin film, and 1.50for the bottom material. The film thickness is5×10-7m . Of the visible wavelengths (400 to 700nm ) that result in fully constructive interference at an observer above the film, which is the (a) longer and (b) shorter wavelength? The materials and film are then heated so that the film thickness increases. (c) Does the light resulting in fully constructive interference shift toward longer or shorter wavelengths?

If you move from one bright fringe in a two-slit interference pattern to the next one farther out,

(a) does the path length difference ∆Lincrease or decrease and

(b) by how much does it change, in wavelengths λ ?
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