Exam 28: Physical Optics: Interference and Diffraction
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A double-slit experiment uses light of wavelength 633. nm with a slit separation of 0.100 mm and a screen placed 2.0 m away.
(a) What is the linear width of the central fringe?
(b) What is the lateral distance between 1st and 2nd order fringes?
(c) What is the angular separation between the central maximum and the 1st order maximum?
(Short Answer)
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For two beams of light traveling different distances in reaching a point, and to form maximum constructive interference at that point, the beams must travel paths that differ by a whole number of wavelengths.
(True/False)
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Light of wavelength 580 nm is incident on a slit of width 0.300 mm. An observing screen is placed 2.00 m from the slit. Find the position of the first order dark fringe from the center of the screen.
(Multiple Choice)
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Two beams of coherent light travel different paths arriving at point P. If the maximum destructive interference is to occur at point P, what should be the phase difference between the two waves?
(Multiple Choice)
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In the two-slit experiment, monochromatic light of wavelength 600 nm passes through a pair of slits separated by 2.20 × 10-5 m. What is the angle corresponding to the first bright fringe?
(Multiple Choice)
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A single-slit diffraction pattern is formed on a distant screen. Assuming the angles involved are small, by what factor will the width of the central bright spot on the screen change if the slit width is doubled?
(Multiple Choice)
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Two beams of coherent light travel different paths arriving at point P. If the maximum constructive interference is to occur at point P, what should be the phase difference between the two waves?
(Multiple Choice)
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In the two-slit experiment, monochromatic light of wavelength 600 nm passes through a pair of slits separated by 2.20 × 10-5 m. What is the angle corresponding to the second dark fringe?
(Multiple Choice)
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What is the thickness of a soap bubble film (n = 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?
(Multiple Choice)
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If two or more sources of light are to show interference patterns, they must be coherent.
(True/False)
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In the two-slit experiment, for the condition of dark fringes, the value of m = +1 corresponds to a path difference of 3λ/2.
(True/False)
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In a single-slit diffraction experiment, a beam of monochromatic light of wavelength 630 nm is incident on a slit of width 0.400 mm. If the distance between the slit and the screen is 1.80 m, what are the positions of the first dark fringes?
(Multiple Choice)
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The wavelength of light in a thin film is 360 nm and the wavelength of light in vacuum is 469 nm. What is the index of refraction for the film?
(Multiple Choice)
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Light of wavelength 580 nm is incident on a slit of width 0.300 mm. An observing screen is placed 2.00 m from the slit. Find the width of the central maximum.
(Multiple Choice)
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In the experiment for interference using the concept of air wedge, the point where the glass plates touch in an air wedge is a dark fringe.
(True/False)
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In a single-slit diffraction experiment, a beam of monochromatic light passes through a slit of width 11.0 μm. If the first order dark fringe of the resulting diffraction pattern is at an angle of 4.31°, what is the wavelength of light?
(Multiple Choice)
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Which one of the following properties of light is evidence of the wave nature of light?
(Multiple Choice)
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A single slit, which is 0.0500 mm wide, is illuminated by light of 550. nm wavelength. What is the angular separation between the first two minima on either side of the central maximum?
(Short Answer)
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If the wavelength of light in vacuum is 469 nm, what is the wavelength of light in a thin film of index of refraction 1.42?
(Multiple Choice)
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A sodium light (λ = 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?
(Multiple Choice)
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