A Michelson interferometer operating at a 600nmwavelength has a 2.00-cm-long glass cell in one arm. To begin, the air is pumped out of the cell and mirror M2is adjusted to produce a bright spot at the center of the interference pattern. Then a valve is opened and air is slowly admitted into the cell. The index of refraction of air at 1.00atmpressure is 1.00028. How many brightdark-bright fringe shifts are observed as the cell fills with air?

Short Answer

Expert verified

19brightdark-bright fringe shifts are observed as the cell fills with air.

Step by step solution

01

Introduction

The wavelength of a waveform signal carried in space or down a wire is the distance between corresponding points (adjacent crests) in adjacent cycles. This length is commonly stated in metres (m), centimetres (cm), or millimetres (mm) in wireless systems (mm).

02

Find the count of brightdark-bright fringe shift

The number of lines will be determined by the formula presented in Challenge Example 22.9.

Δm=(n1)2dλ

We will have in our numerical case

Δm=0.00028X2X0.02m6X107m

m=18.7cm_

It is now up to each person to decide whether or not it fits to round up above.

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Most popular questions from this chapter

For what slit-width-to-wavelength ratio does the first minimum of a single-slit diffraction pattern appear at (a) 30°, (b) 60°, and (c) 90°?

FIGURE P33.56 shows the light intensity on a screen behind a circular aperture. The wavelength of the light is 500nmand the screen is 1.0mbehind the slit. What is the diameter (in mm) of the aperture?

A 4.0-cm-wide diffraction grating has 2000 slits. It is illuminated by light of wavelength 550nm. What are the angles (in degrees) of the first two diffraction orders?

A helium-neon laser (λ=633nm)illuminates a single slit and is observed on a screen1.5mbehind the slit. The distance between the first and second minima in the diffraction pattern is 4.75mm. What is the width (inmm)of the slit?

Light of wavelength 600nmpasses though two slits separated by 0.20mmand is observed on a screen 1.0mbehind the slits. The location of the central maximum is marked on the screen and labeled y=0.

a. At what distance, on either side of y=0, are the m=1bright fringes?

b. A very thin piece of glass is then placed in one slit. Because light travels slower in glass than in air, the wave passing through the glass is delayed by 5.0×10-16sin comparison to the wave going through the other slit. What fraction of the period of the light wave is this delay?

c. With the glass in place, what is the phase difference Δϕ0between the two waves as they leave the slits?2

d. The glass causes the interference fringe pattern on the screen to shift sideways. Which way does the central maximum move (toward or away from the slit with the glass) and by how far?

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