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Chapter 33: Q. 10 (page 954)

A Michelson interferometer is set up to display constructive interference (a bright central spot in the fringe pattern of Figure) using light of wavelength l. If the wavelength is changed to λ/2, does the central spot remain bright, does the central spot become dark, or do the fringes disappear? Explain. Assume the fringes are viewed by a detector sensitive to both wavelengths.

Short Answer

Expert verified

The brightness of the central maxima will be maintained.

Step by step solution

01

Introduction

Fringe is the alternately light and dark band that forms as a result of interference. When two light waves collide, destructive and constructive interference is created. Constructive interference causes the brilliant band, while interference causes the dark band.

02

Explanation

Because there is no phase difference at the central spot, even if the wavelength is hung, the central maxima will stay unaltered. When estimating the intensity of the centre maxima, the wavelength variation is not regarded in any way.

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Most popular questions from this chapter

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?

Helium atoms emit light at several wavelengths. Light from a helium lamp illuminates a diffraction grating and is observed on a screen50.00cmbehind the grating. The emission at wavelength 501.5nmcreates a first-order bright fringe 21.90cmfrom the central maximum. What is the wavelength of the bright fringe that is 31.60cmfrom the central maximum?

FIGURE P33.56 shows the light intensity on a screen behind a single slit. The wavelength of the light is 600nmand the slit width is 0.15mm. What is the distance from the slit to the screen?

You've found an unlabeled diffraction grating. Before you can use it, you need to know how many lines per it has. To find out, you illuminate the grating with light of several different wavelengths and then measure the distance between the two first-order bright fringes on a viewing screen 150cmbehind the grating. Your data are as follows:


Use the best-fit line of an appropriate graph to determine the number of lines per mm.

3. FIGURE Q33.3 shows the viewing screen in a double-slit experiment. FringeCis the central maximum. What will happen to the fringe spacing if

a. The wavelength of the light is decreased?

b. The spacing between the slits is decreased?

c. The distance to the screen is decreased?

d. Suppose the wavelength of the light islocalid="1649170567955" 500nm. How much farther is it from the dot on the screen in the center of fringe E to the left slit than it is from the dot to the right slit?
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