Exam 24: Wave Optics

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A sodium light,having wavelength 589.3 nm,is used to view a soap film to make it look black when directed perpendicular to the film.What is the minimum thickness of the soap film if the index of refraction of soap solution is 1.38?

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Coherent light of wavelength 540 nm passes through a pair of thin slits that are 3.4 × 10−510 ^{- 5} m apart.At what angle away from the centerline does the second bright fringe occur?

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A soap bubble film that is 106 nm thick and has an index of refraction of 1.42 results in constructive interference in the reflected light if this film is illuminated by a beam of light with a wavelength of 601 nm.What are the next three thicknesses of this film that will also result in constructive interference?

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Two beams of coherent light start out at the same point in phase and travel different paths to arrive at point P.If the maximum constructive interference is to occur at point P,the two beams must travel paths that differ by

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Suppose your telescope has perfect mirrors and is limited only by diffraction.If you are viewing with light of 400 nm wavelength,what diameter mirror in a space telescope would have 1.0-km resolution of objects on Mars when viewed from above the earth at a time when the Earth-Mars distance of 80 million kilometers?

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A 500-nm-wavelength beam of light illuminates a soap film with air on both sides and an index of refraction 1.33.If the beam of light is incident normally on the film,what is the minimum thickness of the film to make the reflected light enhanced in brightness?

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What is the minimum thickness of a soap bubble film with refractive index 1.38 that results in a constructive interference in the reflected light if this film is illuminated by a beam of light of wavelength 610 nm?

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A grating has 450 lines per millimeter.What is the highest order m that contains the entire visible spectrum from 400 nm to 700 nm?

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In a two-slit experiment,a third-order bright fringe is observed at an angle of 7.10° away from the centerline.If the wavelength of light is 595 nm,how far apart are the two slits?

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A soap bubble,when illuminated at normal incidence with light of 463 nm,appears to be especially reflective.If the index of refraction of the film is 1.35,what is the minimum thickness the soap film can be if it is surrounded by air?

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A single thin slit forms a diffraction pattern,with the first minimum at an angle of 40.0° from central maximum.If monochromatic light of 530.0-nm wavelength is used for the illumination,what is the width of the slit?

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A metallic sheet has a large number of parallel slits,5.0 mm wide and 20 cm apart.This sheet is used as a grating for microwaves.A wide parallel beam of microwaves is incident normally on the sheet.If the intensity maxima occur 2.0° apart in the central region,what is the wavelength of the microwaves?

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Two light sources are said to be coherent if they are

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In a double-slit experiment,the slit separation is 1.75 mm,and two coherent wavelengths of light,425 nm and 510 nm,illuminate the slits.At what angle from the centerline on either side of the central maximum will a bright fringe from one pattern first coincide with a bright fringe from the other pattern?

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In a double-slit experiment,the slit separation is 2.0 mm,and two wavelengths,750 nm and 900 nm,illuminate the slits.A screen is placed 2.0 m from the slits.At what distance from the central maximum on the screen will a bright fringe from one pattern first coincide with a bright fringe from the other?

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Light of wavelength 580 nm is incident on a slit of width 0.30 mm.An observing screen is placed 2.0 m past the slit.Find the distance on the screen of the first order dark fringe from the center of the pattern.

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An optical engineer needs to ensure that the bright fringes from a double-slit are 15.7 mm apart on a detector that is 1.70 m1.70 \mathrm {~m} from the slits.If the slits are illuminated with coherent light of wavelength 633 nm,how far apart should the slits be?

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The two stars in a binary star system have an angular separation of 1.0 × 10-5 rad.If the wavelength of the light from the system is 500 nm,what is the smallest diameter aperture telescope that could just resolve this system to show that it contains two stars?

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A light beam with wavelength 440 nm in a certain material then enters air and its wavelength becomes 577 nm. (a)What is the index of refraction for the material? (b)At what angle with the plane of the surface will the light be totally reflected back into the material?

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The speed of light in a certain material is measured to be 2.2 × 108 m/s.What is the index of refraction of this material? (c = 3.0 × 108 m/s)

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