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The minimum path difference that will produce a phase difference of 90º for light of wavelength 500 nm is


A) 62.5 nm
B) 125 nm
C) 250 nm
D) 375 nm
E) 400 nm

F) B) and C)
G) A) and B)

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The bending of light around an obstacle such as the edge of a slit is called


A) diffraction
B) dispersion
C) reflection
D) refraction
E) polarization

F) B) and D)
G) A) and D)

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White light is in one case dispersed by refraction on passing through a glass prism and in a second case diffracted by means of a grating. When the red component and the blue component are considered, it is found that


A) red is both refracted and diffracted at greater angles than blue.
B) blue is both refracted and diffracted at greater angles than red.
C) red is refracted at a greater angle than blue, but blue is diffracted at a greater angle than red.
D) blue is refracted at a greater angle than red, but red is diffracted at a greater angle than blue.
E) both red and blue are refracted at the same angle and diffracted at the same angle.

F) A) and B)
G) B) and C)

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Two side-by-side coherent light sources radiate at 480 nm. At a point in space where the path difference to these two sources is 50 nm, the phase difference could be


A) 0.238 radians
B) 0.375 radians
C) 0.466 radians
D) 0.582 radians
E) 0.654 radians

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

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In a double-slit experiment, the distance from the slits to the screen is decreased by a factor of 2. If the distance between the fringes is small compared with the distance from the slits to the screen, the distance between adjacent fringes


A) increases by a factor of 2.
B) increases by a factor of 4.
C) depends on the width of the slits.
D) decreases by a factor of 2.
E) decreases by a factor of 4.

F) A) and E)
G) All of the above

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A diffraction grating has 5000 lines per centimeter and is 1.5 centimeters wide. When radiation is incident upon the grating a second-order maximum is observed at an angle of 37º. The wavelength of this light is


A) 400 nm
B) 600 nm
C) 900 nm
D) 1200 nm
E) 2400 nm

F) D) and E)
G) B) and E)

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For a grating with d = 3.5 λ\lambda , the maximum order m of an interference maximum that can be observed for a specified λ\lambda is


A) 3.5
B) 3
C) 1
D) 2
E) 2.5

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

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Visible light from an ordinary source such as a sodium lamp can be used to produce interference effects that demonstrate the wave nature of light, provided that


A) the light beam from the single source is split into two (or more) beams that have a constant phase relationship to one another.
B) the light is polarized.
C) the light is not polarized.
D) Interference effects cannot be demonstrated with ordinary light sources.
E) None of these conditions are satisfied.

F) A) and D)
G) B) and D)

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λ\lambda (nm) N 350 1) 725 400 1) 600 500 1) 525 600 1) 500 700 1) 495 You obtain the data in the table for a certain prism in a spectrometer experiment and determine that the light of an unknown wavelength has an index of refraction of 1.562. From a dispersion curve you find the wavelength to be


A) 375 nm
B) 430 nm
C) 450 nm
D) 480 nm
E) 550 nm

F) B) and C)
G) A) and C)

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If the prism spectrum of a source is a line spectrum, the grating spectrum would


A) have lines identical in intensity and position.
B) have lines identical in position but not in intensity.
C) be an absorption spectrum.
D) also be a line spectrum.
E) be a continuous spectrum.

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

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   Two parallel glass plates of index of refraction n are separated by an air film of thickness d. Light of wavelength  \lambda  in air, normally incident on the plates, is intensified on reflection when, for some integer m A)  2d = m \lambda  B)  2d = m \lambda 0/n C)  2d = mn \lambda  D)  2d = (m + 1/2)  \lambda  E)  2nd = m \lambda  /2 Two parallel glass plates of index of refraction n are separated by an air film of thickness d. Light of wavelength λ\lambda in air, normally incident on the plates, is intensified on reflection when, for some integer m


A) 2d = m λ\lambda
B) 2d = m λ\lambda 0/n
C) 2d = mn λ\lambda
D) 2d = (m + 1/2) λ\lambda
E) 2nd = m λ\lambda /2

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

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  The fringes are the result of A)  diffraction from a single slit. B)  interference from a double slit in addition to diffraction from the two slits. C)  interference from three slits. D)  diffraction from three slits. E)  None of these is correct. The fringes are the result of


A) diffraction from a single slit.
B) interference from a double slit in addition to diffraction from the two slits.
C) interference from three slits.
D) diffraction from three slits.
E) None of these is correct.

F) All of the above
G) C) and D)

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   The path difference for the two waves shown in the figure could be A)  ¾ \lambda  B)  ½ \lambda  C)  ¼ \lambda  D)  \lambda  E)  It is not possible to answer this question without additional information. The path difference for the two waves shown in the figure could be


A) ¾ λ\lambda
B) ½ λ\lambda
C) ¼ λ\lambda
D) λ\lambda
E) It is not possible to answer this question without additional information.

F) A) and E)
G) A) and D)

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You create a wedge-shaped film of air between two flat plates of glass 2.5 cm wide by laying one on top of the other and placing a small slip of paper 1.0 mm thick between their edges at one end. You illuminate the glass plates with normally incident monochromatic light of unknown wavelength. Observing the reflection, you see dark fringes at both ends of the plates. Between the ends you see three other dark fringes. What is the wavelength of the incident light?


A) 250 nm
B) 400 nm
C) 440 nm
D) 500 nm
E) 620 nm

F) B) and E)
G) None of the above

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Green light of wavelength 500 nm is incident normally on a diffraction grating that has 5300 lines/cm. The second-order image is diffracted at an angle from the normal of


A) 10º
B) 16º
C) 32º
D) 48º
E) 57º

F) All of the above
G) A) and E)

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A monochromatic beam of light of wavelength 600 nm falls on a grating at normal incidence and produces a second-order image at an angle of 30º. The grating spacing must be


A) 0.60 µm
B) 2.4 µm
C) 0.30 µm
D) 1.4 µm
E) 1.0 µm

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

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Two waves, one with amplitude A and the second with amplitude 2A, are out of phase by 180 °\degree . The resultant intensity is


A) zero
B) A
C) A2
D) 2A2
E) (3A) 2

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

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As the width of the slit producing a single-slit diffraction pattern is slowly and steadily reduced (always remaining larger than the wavelength of the light) , the diffraction pattern


A) slowly and steadily gets wider.
B) slowly and steadily gets brighter.
C) does not change because the wavelength of the light does not change.
D) slowly and steadily gets narrower.
E) None of these is correct.

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

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For a given light source and collimator slit width, the spectral lines obtained using a prism are brighter than those using a diffraction grating because


A) the grating absorbs more light than the prism.
B) light is dispersed more by a prism than by a grating.
C) the prism forms a single spectrum and the grating forms multiple spectra.
D) light passes through the prism at minimum deviation.
E) light is dispersed more by a grating than by a prism.

F) C) and D)
G) A) and D)

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You set two parallel slits 0.2 mm apart at a distance of 1 m from a screen and illuminate them with light of wavelength 400 nm. The distance between the first and second dark lines of the interference pattern on the screen is


A) 2.5 mm
B) 2.0 mm
C) 1.5 mm
D) 1.0 mm
E) 0.5 mm

F) B) and D)
G) B) and E)

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