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Which light wave will spread out more after passing through a narrow rectangular opening?


A) one with a greater intensity but the same wavelength
B) one with a smaller intensity but the same wavelength
C) one with a greater intensity and a greater wavelength
D) one with a smaller intensity and a smaller wavelength

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

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Light with frequency 6 * 1016 Hz is traveling in a material with index of refraction n = 2.What is its wavelength (nm) in this material?


A) 1000
B) 500
C) 2.
D) 100
E) 3 * 108

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

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A laser beam with wavelength 10.6 μ\mu m is split into two beams by a beam splitter in a Michelson interferometer.One beam goes to Mirror 1,a distance L from the beam splitter,and returns to the beam splitter while the other beam goes to Mirror 2,a distance L + Δ\Delta x from the beam splitter,and returns to the same beam splitter.The beams then recombine and go to a detector together.If L = 1.00000 m and Δ\Delta x = 1.20000 mm,which best describes the kind of interference at the detector?


A) purely constructive
B) purely destructive
C) mostly constructive
D) mostly destructive
E) neither constructive nor destructive

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

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In Newton's ring experiment when oil is introduced into the space between the lens and the plate,the radius of the 9th ring decreases from 1.9 cm to 1.71 cm.The refractive index of the oil is


A) 1.11.
B) 1.23.
C) 1.5.1.
D) 1.62.
E) 1.79.

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

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When Mars is at its closest approach to Earth,the distance is approximately 0.75 AU (1 AU = 1.51 * 1011 m) .What aperture is required if a telescope is to be able to resolve a 16 km-wide canyon on Mars's surface? Assume a wavelength in the red-orange,or 610 nm.


A) 7.0 m
B) 5.3 m
C) 4.3 m
D) 4.1 m
E) 3.5 m

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

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A diffraction grating has 600 lines/mm.The number of complete orders formed in the visible region 400 -700 nm is


A) 1.
B) 2.
C) 3.
D) 4.

E) B) and D)
F) All of the above

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Light from a helium-neon laser falls on two narrow slits with separation 0.200 mm.On a screen 1.00 m away from the double-slits an interference pattern emerges.If the fifth maximum is detected at 1.58 cm distance from the center,what is the wavelength of the light?


A) 468 nm
B) 511 nm
C) 632 nm
D) 722 nm
E) 891 nm

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

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A beam of light having a wavelength of 488 nm is shone on the two slits and an interference pattern is observed.The angular separation between the central maximum and the adjacent maximum is 9.94 * 10-4 rad.What is the distance between the two slits?


A) 5.00 * 10-4 m
B) 4.91 * 10-4 m
C) 4.74 * 10-4 m
D) 5.10 * 10-4 m

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

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The element sodium emits two wavelengths of yellow light that are very close together.The wavelengths are 589.00 nm and 589.59 nm.How many narrow slits are required for a diffraction grating to be able to resolve the first-order bright fringes created by them?


A) 1
B) 589
C) 590
D) 1000

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

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Blue light ( λ\lambda vac = 440 nm ) shines onto a plane of glass (nglass = 1.50) .There is a thin layer of oil (n = 1.47) on top of this glass.What is the minimum thickness of the oil if there is constructive interference for the light?


A) 74.8 nm
B) 82.7 nm
C) 110 nm
D) 150 nm
E) 165 nm

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

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X-rays of wavelength 1.25 Angstroms are incident upon a crystal face in a Bragg refraction experiment.If the crystal spacing is known to be 2.14 angstroms,at what angle should a detector relative to the initial beam direction be placed in order to catch the refracted X-rays?


A) 17 \circ
B) 34 \circ
C) 36 \circ
D) 72 \circ

E) C) and D)
F) B) and D)

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An airplane is made invisible to radar by coating it with a 7.0 mm thick layer of an antireflective polymer with the index of refraction n = 1.5.What is the maximum wavelength of radar waves for which the plane is made invisible?


A) 3.0 cm
B) 3.8 cm
C) 4.0 cm
D) 4.2 cm
E) 5.0 cm

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

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What is the smallest object separation a near-sighted person can resolve with her naked eye? Assume the diameter of her pupil is 3.0 mm,her eye has a near point of 20 cm and a far point of 2.0 m,and she is using blue-green light ( λ\lambda = 520 nm) .The index of refraction of the aqueous humor is 1.30.


A) 3.3 *10-5 m
B) 4.8 * 10-5 m
C) 1.6 * 10-4 m
D) 3.3 * 10-4 m
E) 8.1 * 10-4 m

F) A) and C)
G) None of the above

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A 4.00-cm wide diffraction grating with 250 grooves per cm is used to resolve two closely spaced lines (a doublet) in a spectrum.The doublet consists of two wavelengths, λ\lambda a = 629.8 nm and λ\lambda b = 630.2 nm.The light illuminates the entire grating at normal incidence.What order of diffraction is required to resolve these two lines using this grating?


A) 1
B) 1.5
C) 2
D) 2.5
E) 3

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

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If the wavelength of light illuminating a double slit is halved,the fringe spacing is


A) halved.
B) doubled.
C) not changed.
D) changed by a factor of 1/ 2 \sqrt2 .

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

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Two beams of light with the same wavelength may interfere either constructively or destructively.If the amplitude and intensity of beam 1 is A and I and the second beam has an amplitude of 3 A,what is the maximum and minimum intensity possible by combining these beams?


A) 2I and 0
B) 2I and 1.4 I
C) 10I and 2I
D) 4I and 2I
E) 16I and 4I

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

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A red laser pointer with a wavelength of 635 nm is shined on a 200-lines/mm diffraction grating.A screen is then placed a distance of 1.0 m behind the diffraction grating to observe the diffraction pattern.How far away from the central maximum will the next bright spot be on the screen?


A) 13 cm
B) 32 cm
C) 38 cm
D) 65 cm
E) 75 cm

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

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You have single slit diffraction with a wavelength of 570 nm at a distance of 100 cm,and the width of the slit aperture is 1.0 mm.What is the distance to the third minimum from the center of the pattern? You have single slit diffraction with a wavelength of 570 nm at a distance of 100 cm,and the width of the slit aperture is 1.0 mm.What is the distance to the third minimum from the center of the pattern?   A) 0.233 mm B) 0.085 mm C) 0.0017 m D) 0.200 m E) 0.130 m


A) 0.233 mm
B) 0.085 mm
C) 0.0017 m
D) 0.200 m
E) 0.130 m

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

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A red laser pointer is shined on a diffraction grating,producing a series of bright spots on a screen behind the diffraction grating.If the red laser pointer is replaced with a green laser pointer and everything else remains the same,will the green bright spots on the screen be closer together or farther apart than the red bright spots were?


A) They will be closer together.
B) They will be farther apart.
C) They will appear in the same places as the red bright spots.

D) A) and C)
E) A) and B)

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How far apart at a minimum should a radio station,operating at 88.1 MHz,place a pair of antennae operating in phase such that no emission occurs along a line 45 degrees from the line joining the antennae?


A) 0.3 m
B) 2.4 m
C) 15 m
D) 120 m
E) 2300 m

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

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