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Chapter 33: Q.68 (page 958)

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.

螖m=(n鈭�1)2d位

We will have in our numerical case

螖m=0.00028X2X0.02m6X10鈭�7m

鈭�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

A triple-slit experiment consists of three narrow slits, equally spaced by distance dand illuminated by light of wavelength 位. Each slit alone produces intensity I1on the viewing screen at distanceL.
aConsider a point on the distant viewing screen such that the path-length difference between any two adjacent slits is位. What is the intensity at this point?
bWhat is the intensity at a point where the path-length difference between any two adjacent slits is位2?

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

a. Green light shines through a 100-mm-diameter hole and is observed on a screen. If the hole diameter is increased by 20%, does the circular spot of light on the screen decrease in diameter, increase in diameter, or stay the same? Explain.

b. Green light shines through a 100鈭�渭m-diameter hole and is observed on a screen. If the hole diameter is increased by20%, does the circular spot of light on the screen decrease in diameter, increase in diameter, or stay the same? Explain.

A laser beam illuminates a single, narrow slit, and the diffraction pattern is observed on a screen behind the slit. The first secondary maximum is 26mmfrom the center of the diffraction pattern. How far is the first minimum from the center of the diffraction pattern?

A student performing a double-slit experiment is using a green laser with a wavelength of 530nm.. She is confused when the m=5maximum does not appear. She had predicted that this bright fringe would be 1.6cmfrom the central maximum on a screen 1.5mbehind the slits.

a. Explain what prevented the fifth maximum from being observed.

b. What is the width of her slits?
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