University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Textbook Question
Chapter 35, Problem 35.33E
How far must the mirror M2 (see Fig. 35.19) of the Michelson interferometer be moved so that 1800 fringes of He-Ne laser light (λ = 633 nm) move across a line in the field of view?
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How far must the mirror M2 (see Fig.) of the Michelson interferometer be moved so that 1800 fringes of He-Ne laser light (λ = 633 nm) move across a line in the field of view?
Two point sources of light are separated by 5.5 cm
a. As viewed through a 13 μmμm diameter pinhole, what is the maximum distance from which they can be resolved if red light ( λλ = 690 nmnm) is used?
b. If violet light ( λλ = 420 nmnm ) is used?
Problem 2. Suppose that a Michelson interferometer is illuminated by a source emitting a doublet of
vacuum wavelengths, 21 and 22. As one mirror is moved, the fringes periodically disappear and then
reappear. If a displacement Ad of the mirror causes a one-cycle variation in fringe visibility, derive an
expression for Ad in terms of Aλ = 2-1. Then calculate Ad for the sodium doublet, where λ₁ =
588.995 nm and 2 = 589.592 nm.
Chapter 35 Solutions
University Physics (14th Edition)
Ch. 35 - A two-slit interference experiment is set up, and...Ch. 35 - Could an experiment similar to Youngs two-slit...Ch. 35 - Monochromatic coherent light passing through two...Ch. 35 - In a two-slit interference pattern on a distant...Ch. 35 - Would the headlights of a distant car form a...Ch. 35 - The two sources S1 and S2 shown in Fig. 35.3 emit...Ch. 35 - Could the Young two-slit interference experiment...Ch. 35 - Coherent red light illuminates two narrow slits...Ch. 35 - Coherent light with wavelength falls on two...Ch. 35 - Prob. Q35.10DQ
Ch. 35 - If the monochromatic light shown in Fig. 35.5a...Ch. 35 - In using the superposition principle to calculate...Ch. 35 - Prob. Q35.13DQCh. 35 - A very thin soap film (n = 1.33), whose thickness...Ch. 35 - Interference can occur in thin films. Why is it...Ch. 35 - If we shine while light on an air wedge like that...Ch. 35 - Prob. Q35.17DQCh. 35 - When a thin oil film spreads out on a puddle of...Ch. 35 - Section 35.1 Interference and Coherent Sources...Ch. 35 - Two speakers that are 15.0 m apart produce...Ch. 35 - A radio transmitting station operating at a...Ch. 35 - Radio Interference. Two radio antennas A and B...Ch. 35 - Prob. 35.5ECh. 35 - Two light sources can be adjusted to emit...Ch. 35 - Section 35.2 Two-Source Interference of Light...Ch. 35 - Coherent light with wavelength 450 nm falls on a...Ch. 35 - Two slits spaced 0.450 mm apart are placed 75.0 cm...Ch. 35 - If the entire apparatus of Exercise 35.9 (slits,...Ch. 35 - Two thin parallel slits that are 0.0116 mm apart...Ch. 35 - Coherent light with wavelength 400 nm passes...Ch. 35 - Two very narrow slits are spaced 1.80 m apart and...Ch. 35 - Coherent light that contains two wavelengths. 660...Ch. 35 - Coherent light with wavelength 600 nm passes...Ch. 35 - Coherent light of frequency 6.32 1014 Hz passes...Ch. 35 - In a two-slit interference pattern, the intensity...Ch. 35 - Coherent sources A and B emit electromagnetic...Ch. 35 - Coherent light with wavelength 500 nm passes...Ch. 35 - Two slits spaced 0.260 mm apart are 0.900 m from a...Ch. 35 - Consider two antennas separated by 9.00 m that...Ch. 35 - Two slits spaced 0.0720 mm apart are 0.800 m from...Ch. 35 - What is the thinnest film of a coating with n =...Ch. 35 - Nonglare Glass. When viewing a piece of art that...Ch. 35 - Two rectangular pieces of plane glass are laid one...Ch. 35 - A place of glass 9.00 cm long is placed in contact...Ch. 35 - A uniform film of TiO2, 1036 nm thick and having...Ch. 35 - A plastic film with index of refraction 1.70 is...Ch. 35 - The walls of a soap bubble have about the same...Ch. 35 - A researcher measures the thickness of a layer of...Ch. 35 - Prob. 35.31ECh. 35 - What is the thinnest soap film (excluding the case...Ch. 35 - How far must the mirror M2 (see Fig. 35.19) of the...Ch. 35 - Jan first uses a Michelson interferometer with the...Ch. 35 - One round face of a 3.25-m, solid, cylindrical...Ch. 35 - Newtons rings are visible when a planoconvex lens...Ch. 35 - BIO Coating Eyeglass Lenses. Eyeglass lenses can...Ch. 35 - BIO Sensitive Eyes. After an eye examination, you...Ch. 35 - Two flat plates of glass with parallel faces are...Ch. 35 - In a setup similar to that of Problem 35.39, the...Ch. 35 - Suppose you illuminate two thin slits by...Ch. 35 - CP CALC A very thin sheet of brass contains two...Ch. 35 - Two radio antennas radiating in phase are located...Ch. 35 - Prob. 35.44PCh. 35 - CP A thin uniform film of refractive index 1.750...Ch. 35 - GPS Transmission. The GPS (Global Positioning...Ch. 35 - White light reflects at normal incidence from the...Ch. 35 - Laser light of wavelength 510 nm is traveling in...Ch. 35 - Red light with wavelength 700 nm is passed through...Ch. 35 - BIO Reflective Coatings and Herring. Herring and...Ch. 35 - After a laser beam passes through two thin...Ch. 35 - DATA In your summer job at an optics company, you...Ch. 35 - DATA Short-wave radio antennas A and B are...Ch. 35 - DATA In your research lab, a very thin, flat piece...Ch. 35 - CP The index of refraction of a glass rod is 1.48...Ch. 35 - CP Figure P35.56 shows an interferometer known as...Ch. 35 - INTERFERENCE AND SOUND WAVES. Interference occurs...Ch. 35 - The professor returns the apparatus to the...Ch. 35 - The professor again returns the apparatus to its...Ch. 35 - The professor once again returns the apparatus to...
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- One leg of a Michelson interferometer contains an evacuated cylinder of length L, =0.30m having glass plates on each end. A gas is slowly leaked into the cylinder until a pressure of 1 atm is reached. If 140 bright fringes pass on the screen when light of wavelength A=440nm is used, what is n, the index of refraction of the gas? State your answer to the nearest 0.000001 ( one part per million).arrow_forwardThe Michelson interferometer can be used to measure the index of refraction of a gas by placing an evacuated transparent tube in the light path along one arm of the device. Fringe shifts occur as the gas is slowly added to the tube. Assume 580-nm light is used, the tube is 5.40 cm long, and 152 fringe shifts occur as the pressure of the gas in the tube increases to atmospheric pressure. What is the index of refraction of the gas? Hint: The fringe shifts occur because the wavelength of the light changes inside the gas-filled tube. (Give your answer to five decimal places.) 4.0arrow_forwardThe wavelengths of two components of D-lines of sodium are 5890 Å and 5896 Å, respectively. By how much distance one of the mirrors of Michelson's interferometer is to be moved so as to obtain consecutive positions of maximum distinctions?arrow_forward
- a beam of wavelength 500nm falls on YDSE.if the width of the slit is 0.3mm,find number of maxima in -30<0<0 where theta is angular position option 1.150 2.5993.300 4.149arrow_forwardA Michelson interferometer is used with red light of wavelength 632.8 nm and is adjusted for a path difference of 20 μm. Determine the angular radius of the a) first (smallest diameter) ring observed and b) the tenth ring observed.arrow_forwardA Michelson interferometer uses red light with a wavelength of 656.45 nm from a hydrogen discharge lamp. How many bright-dark-bright fringe shifts are observed if mirror M2 is moved exactly 1 cm?arrow_forward
- A Michelson interferometer is used with red light of wavelength 632.8 nm and is adjusted for a path difference of 20 μm. Determine the angular radius of the (a) first ring observed and (b) the tenth ring observed.arrow_forwardThe path difference of a Michelson interferometer is 3.40 x 10-6 m. What is the largest wavelength of visible light (380 nm to 750 nm) that will produce a bright fringe?arrow_forward. Moving mirror M₂ of a Michelson interferometer a distance of 100 μm causes 500 bright-dark-bright fringe shifts. What is the wavelength of the light?arrow_forward
- The lens in a Newton’s rings experiment has diameter 20 mm and radius of curvature R = 5.0 m. For l = 589 nm in air, how many bright rings are produced with the setup (a) in air and (b) immersed in water (n = 1.33)?arrow_forwardThe Michelson interferometer can be used to measure the index of refraction of a gas by placing an evacuated transparent tube in the light path along one arm of the device. Fringe shifts occur as the gas is slowly added to the tube. Assume 610-nm light is used, the tube is 5.40 cm long, and 168 bright fringes pass on the screen as the pressure of the gas in the tube increases to atmospheric pressure. What is the index of refraction of the gas? Hint: The fringe shifts occur because the wavelength of the light changes inside the gas-filled tube. (Give your answer to at least five decimal places.)arrow_forwardA biprism is placed 5 cm from slit illuminated by sodium light of wavelength 5890 A.U. The width of the fringes obtained on a screen 75 cm from the biprism is 9.424 x 10- 2 cm. What is the distance between two coherent sources ?arrow_forward
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