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Exam 28: Physical Optics: Interference and Diffraction

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Question 31

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Monochromatic light of wavelength 500 nm is incident normally on a diffraction grating.If the third-order maximum of the diffraction pattern is observed at 32.0°,what is the total number of maxima can be seen?

A) 5
B) 7
C) 10
D) 11
E) 8

F) B) and D)
G) C) and D)

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Question 32

Multiple Choice

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A single thin slit forms a diffraction pattern when illuminated with monochromatic light.The fourth minimum of the pattern occurs at an angle of 32.0° away from the central maximum.At what angle does the fifth minimum occur?

A) 41.5°
B) 41.0°
C) 40.5°
D) 42.0°
E) 42.5°

F) B) and E)
G) A) and B)

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Question 33

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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?

The colors on an oil slick are caused by reflection and

A soap bubble has an index of refraction of 1.33.What minimum thickness of this bubble will ensure maximum reflectance of normally-incident light having a wavelength of 530 nm?

A light beam with wavelength 500 nm is reflected constructively from a thin layer of oil having index of refraction 1.25.The oil floats on the top of water of index of refraction 1.33.What is the minimum thickness of the layer of oil?

A 17-mm-wide diffraction 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?

Two very flat glass plates,16 cm long,are in contact at one end and separated by 0.020 mm at the other end.The space between the plates is occupied by oil with index of refraction 1.45.The refractive index of the glass plates is 1.55.The plates are illuminated at normal incidence with monochromatic light,and fringes are observed.If the spacing of the dark fringes is 2.0 mm,what is the wavelength of the monochromatic light?

Two radio antennas are 120 m apart on a north-south line.The two antennas radiate in phase at a frequency of 5.6 MHz.All radio measurements are made far from the antennas.What is the smallest angle,reckoned north of east from midway between the antennas,at which destructive interference of the two radio waves occurs? (c = 3.00 × 10⁸ m/s)

A pair of narrow slits that are 1.8 mm apart is illuminated by a monochromatic coherent light source.A fringe pattern is observed on a screen 4.8 m from the slits.If the wavelength of the monochromatic light is 450 nm,what is the angular separation between adjacent dark fringes on the screen,measured in milliradians?

When light of wavelength 450 nm falls on a single slit of width 0.30 mm,what is the angular width of the central bright region?

A round 0.85-mm-diameter hole is illuminated by infrared light of wavelength 2.5 μm What is the angle of the first dark fringe in the resulting pattern?

Light from a He-Ne laser of wavelength 633 nm passes through a circular aperture.The resulting pattern is observed on a screen 4.0 m behind the aperture,where the width of the central bright circle is 1.1 cm.What is the diameter of the hole?

In a single-slit diffraction experiment,the width of the slit through which light passes is reduced.What happens to the width of the central bright fringe in the resulting diffraction pattern?

A double-slit interference experiment is performed in the air.Later,the same apparatus is immersed in benzene (which has an index of refraction of 1.50) ,and the experiment is repeated.When the apparatus is in benzene,you observe that the interference fringes are

When a beam of light,originally traveling in air,enters a piece of glass having an index of refraction of 3/2,its wavelength

A diffraction grating with 396 lines/mm is illuminated with light of wavelength 343 nm.What is the angular separation between the two second-order bright fringes?

When a beam of light,originally traveling in air,enters a piece of glass having an index of refraction of 3/2,its frequency

A piece of glass has a thin film of gasoline floating on it.A beam of light is shining perpendicular on the film.If the wavelength of light incident on the film is 560 nm and the indices of refraction of gasoline and glass are 1.40 and 1.50,respectively,what is the minimum nonzero thickness of the film to see a bright reflection?

A metallic sheet has a large number of parallel slits,5.0 mm wide and 20 cm apart.This sheet is used as a diffraction grating for microwaves.A wide parallel beam of microwaves is incident normally on the sheet.What is the smallest microwave frequency for which only the central maximum will occur? (c = 3.00 × 10⁸ m/s)