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Chapter 33: Q. 31 (page 956)

Moving mirror M2of a Michelson interferometer a distance of 100渭mcauses500bright-dark-bright fringe shifts. What is the wavelength of the light?

Short Answer

Expert verified

Wavelength of the light is400nm

Step by step solution

01

Wavelength

The wavelength of a waveform signal conveyed in space or down a wire is the distance between identical points (consecutive crests) in adjacent cycles.

This length is commonly stated in meters (m), centimeters (cm), or millimeters (mm) in wireless systems (mm).

02

Find Wavelength

The wavelength utilized in the Michelson interferometer experiment can be expressed as

螖m=2螖L位

鈬�位=2螖L螖m

In our numerical example, we have

位=2脳1脳10-4m500

=4脳10-7m

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Most popular questions from this chapter

A Michelson interferometer using 800nm light is adjusted to have a bright central spot. One mirror is then moved 200nm forward, the other 200nm back. Afterward, is the central spot bright, dark, or in between? Explain.

Because sound is a wave, it's possible to make a diffraction grating for sound from a large board of sound-absorbing material with several parallel slits cut for sound to go through. When 10kHzsound waves pass through such a grating, listeners 10mfrom the grating report "loud spots" 1.4mon both sides of center. What is the spacing between the slits? Use 340msfor the speed of sound.

A laser beam with a wavelength of 480nm illuminates two 0.12-mm-wide slits separated by 0.30mm. The interference pattern is observed on a screen 2.3m behind the slits. What is the light intensity, as a fraction of the maximum intensity I0, at a point halfway between the center and the first minimum?

FIGURE Q33.1 shows light waves passing through two closely spaced, narrow slits. The graph shows the intensity of light on a screen behind the slits. Reproduce these graph axes, including the zero and the tick marks locating the double-slit fringes, then draw a graph to show how the light-intensity pattern will appear if the right slit is blocked, allowing light to go through only the left slit. Explain your reasoning.

A helium-neon laser (位=633nm) illuminates a diffraction grating. The distance between the two m=1 bright fringes is 32cm on a screen 2.0m behind the grating. What is the spacing between slits of the grating?
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