Exam 24: Wave Optics

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Light has wavelength 600 nm in a vacuum.It passes into glass,which has an index of refraction of 1.5.What is the frequency of the light inside the glass? (c = 3.0 × 108 m/s)

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Red light with a wavelength of 650 nm travels from air into a liquid with an index of 1.33.What are the frequency and wavelength of the light in the liquid? (c = 3.0 × 108 m/s)

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A 360-nm thick oil film floats on the surface of a pool of water.The indices of refraction of the oil and the water are 1.50 and 1.33,respectively.When the surface of the oil is illuminated from above at normal incidence with white light,what is the wavelength of light between 400 nm to 800 nm wavelength that is most weakly reflected?

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What do we mean when we say that two light rays striking a screen are in phase with each other?

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A 17-mm-wide grating has rulings of 530 lines per millimeter.White light is incident normally on the grating.What is the longest wavelength that forms an intensity maximum in the fifth order?

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A double slit that is illuminated with coherent light of wavelength 644 nm produces a pattern of bright and dark fringes on a screen 6.00 cm from the slits.If the slits are 2783 nm apart,what is the distance on the screen between the 4th and the 2nd bright fringes on one side of the central maximum?

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In a two-slit experiment,monochromatic coherent light of wavelength 600 nm passes through a pair of slits separated by 2.20 × 10-5 m.At what angle away from the centerline does the second dark fringe occur?

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If a sheet containing a single thin slit is heated (without damaging it)and therefore expands,what happens to the width of the central bright diffraction region on a distant screen?

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With what color light would you expect to be able to see the finest detail when using a microscope?

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A certain astronomical telescope has a diameter of 5.60 m.What is the minimum angle of resolution for this telescope when it is forming images using light of wavelength 620 nm?

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What is the angular separation of two spectral lines of wavelengths 497 nm and 251 nm formed in the third order with a grating having 587 lines per millimeter?

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Monochromatic light of wavelength 500 nm is incident normally on a grating.If the third-order maximum of the diffraction pattern is observed at 32° from the centerline,what is the distance between the slits of the grating?

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The index of refraction of a certain glass is measured to be 1.5.What is the speed of light in that glass? (c = 3.0 × 108 m/s)

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When red light illuminates a grating with 7000 lines per centimeter,its second maximum is at 62.4°.What is the wavelength of this light?

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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 microwave wavelength is 6.0 cm,what is the largest angle from the normal,at which an intensity maximum occurs?

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