Deck 34: Wave Optics
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Deck 34: Wave Optics
1
For a double slit experiment,two 1.50-mm wide slits are separated by a distance of 0.500 mm.The slits are illuminated by a laser beam with wavelength 488 nm.If the separation of the bright fringes on the screen is 5.00 mm,then how far is the screen away from the slits?
A)5.12 m
B)8.20 m
C)9.35 m
D)10.1 m
E)11.6
A)5.12 m
B)8.20 m
C)9.35 m
D)10.1 m
E)11.6
5.12 m
2
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
A)1
B)589
C)590
D)1000
1000
3
An airplane is made invisible to radar by coating it with a 7.0 mm thick layer of an antireflective polymer.If the maximum wavelength of radar waves for which the plane is made invisible is 4.0 cm,what is the index of refraction of the polymer?
A)1.43
B)1.62
C)1.38
D)1.50
E)1.55
A)1.43
B)1.62
C)1.38
D)1.50
E)1.55
1.43
4
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
A)5.00 * 10-4 m
B)4.91 * 10-4 m
C)4.74 * 10-4 m
D)5.10 * 10-4 m
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5
A Young's interference experiment is performed with monochromatic green light ( = 470 nm).The separation between the slits is 0.120 mm,and the interference pattern on a screen shows the first side maximum 3.5 mm from the center of the pattern.How far away from the slits is the screen?
A)1.0 m
B)0.91 m
C)0.89 m
D)0.76 m
E)0.64 m
A)1.0 m
B)0.91 m
C)0.89 m
D)0.76 m
E)0.64 m
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6
Monochromatic light is beamed into a Michelson interferometer.600 fringes move by the screen when the movable mirror is moved a distance d = 0.125 mm.What is the wavelength of the light?
A)451 nm
B)470 nm
C)545 nm
D)417 nm
E)510 nm
A)451 nm
B)470 nm
C)545 nm
D)417 nm
E)510 nm
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7
Two stars must be separated if they're to be resolved for all wavelengths of visible light.Which principle can be used to determine the minimum angular separation of the two stars in order for them to be resolved?
A)Huygens' Principle
B)Fermat's Principle
C)Snell's Law of Diffraction
D)None are correct.
A)Huygens' Principle
B)Fermat's Principle
C)Snell's Law of Diffraction
D)None are correct.
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8
For a double slit experiment,two 1.50 mm wide slits are separated by a distance of 0.500 mm.The slits are illuminated by a laser beam with wavelength 488 nm.If a screen is placed 10.0 m away from the slits,determine the separation of the bright fringes on the screen.
A)5.00 mm
B)7.26 mm
C)9.76 mm
D)9.94 mm
A)5.00 mm
B)7.26 mm
C)9.76 mm
D)9.94 mm
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9
A square has sides of length L.In the lower-right and lower-left corners there are two sources of light waves,one in each corner,that emit identical in-phase light waves of wavelength 8.28 m in all directions.What is the minimum value of L such that constructive interference occurs in the upper-right corner? Ignore any reflections.
A)8.28 m
B)10.0 m
C)16.6 m
D)20.0 m
A)8.28 m
B)10.0 m
C)16.6 m
D)20.0 m
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10
Light from a laser strikes a diffraction grating that has 6500 grooves per centimeter.The interference pattern is observed on a wall 1.00 m from the grating.If the wavelength of the laser light is 454 nm,how far from the central maximum is the first order maximum?
A)0.309 nm
B)449 nm
C)0.289 nm
D)0.452 nm
E)0.255 nm
A)0.309 nm
B)449 nm
C)0.289 nm
D)0.452 nm
E)0.255 nm
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11
The distance between the slits in a double slit experiment is 5.00 *10-4 m.A beam of light is shone on the slits.The angular separation between the central maximum and the adjacent maximum is 9.94 * 10-4 rad.What is the wavelength of the light?
A)497 nm
B)488 nm
C)539 nm
D)512 nm
A)497 nm
B)488 nm
C)539 nm
D)512 nm
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12
An airplane is made invisible to radar by coating it with a layer of an antireflective polymer having an index of refraction of 1.50.What is the thickness of the polymer if the maximum wavelength of radar waves for which the plane is made invisible is 4.0 cm?
A)7.9 mm
B)7.0 mm
C)6.7 mm
D)6.1 mm
E)7.4 mm
A)7.9 mm
B)7.0 mm
C)6.7 mm
D)6.1 mm
E)7.4 mm
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13
Light from a laser strikes a diffraction grating that has 6500 grooves per centimeter.The central and first order principal maxima are separated by 0.325 m on a wall 1.00 m from the grating.Determine the wavelength of the laser light.
A)449 nm
B)476 nm
C)454 nm
D)465 nm
E)488 nm
A)449 nm
B)476 nm
C)454 nm
D)465 nm
E)488 nm
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14
Monochromatic blue light ( = 470 nm)is beamed into a Michelson interferometer.How many fringes move by the screen when the movable mirror is moved a distance d = 0.125 mm?
A)2708
B)266
C)1354
D)677
E)532
A)2708
B)266
C)1354
D)677
E)532
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15
A square has sides of length L.In the lower-right and lower-left corners there are two sources of light waves,one in each corner,that emit identical in-phase light waves of wavelength 8.28 m in all directions.What is the minimum value of L such that destructive interference occurs in the upper-right corner? Ignore any reflections.
A)8.28 m
B)10.0 m
C)16.6 m
D)20.0 m
A)8.28 m
B)10.0 m
C)16.6 m
D)20.0 m
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16
The distance between the slits in a double slit experiment is 5.00 * 10-4 m.A beam of light with a wavelength of 488 nm is shone on the slits.What is the angular separation between the central maximum and the adjacent maximum?
A)5.00 * 10-4 rad
B)7.26 * 10-4 rad
C)9.76 * 10-4 rad
D)9.94 * 10-4 rad
A)5.00 * 10-4 rad
B)7.26 * 10-4 rad
C)9.76 * 10-4 rad
D)9.94 * 10-4 rad
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17
Young's double-slit experiment in 1801 showed that
A)light waves can interfere with each other.
B)light waves never diffract after passing through an opening.
C)Both A and B are correct.
D)None are correct.
A)light waves can interfere with each other.
B)light waves never diffract after passing through an opening.
C)Both A and B are correct.
D)None are correct.
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18
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
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
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19
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
A)3.0 cm
B)3.8 cm
C)4.0 cm
D)4.2 cm
E)5.0 cm
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20
Monochromatic blue light ( = 470 nm)is beamed into a Michelson interferometer.600 fringes move by the screen when the movable mirror is moved a distance d.How far was the movable mirror moved?
A)0.125 mm
B)0.141 mm
C)0.211 mm
D)0.137 mm
E)0.119 mm
A)0.125 mm
B)0.141 mm
C)0.211 mm
D)0.137 mm
E)0.119 mm
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21
A single beam of coherent light ( = 633 nm)is incident on two glass slides,which are touching at one end and are separated by a 0.0240-mm thick sheet of paper on the other end.The slides are 6.5 cm long.The beam is split into two beams,with the first reflecting off the bottom surface of the top slide and the second reflecting of the top surface of the bottom slide.You may assume that all the beams are perfectly vertical and that they are perpendicular to both slides,i.e.,the slides are nearly parallel.Both beams recombine above the slides.How many bright bands are observed along the length of the slides?
A)25
B)50
C)75
D)100
E)125
A)25
B)50
C)75
D)100
E)125
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22
Light from an argon laser of wavelength 449 nm strikes a diffraction grating.The central and first order principal maxima are separated by 0.550 m on a wall 2.00 m from the grating.Determine the number of grooves per centimeter for the diffraction grating.
A)7.02 * 103
B)5.91 * 103
C)8.24 * 103
D)3.36 * 103
E)6.45 * 103
A)7.02 * 103
B)5.91 * 103
C)8.24 * 103
D)3.36 * 103
E)6.45 * 103
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23
A 4.00-cm wide diffraction grating with 650 grooves per cm is used to resolve two closely spaced lines (a doublet)in a spectrum.The doublet consists of two wavelengths, a = 629.8 nm and b = 630.2 nm.What fraction of the grating width needs to be illuminated in order to resolve these two lines in first order?
A)31%
B)41%
C)51%
D)61%
E)71%
A)31%
B)41%
C)51%
D)61%
E)71%
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24
The smallest object separation a near-sighted person can resolve with her naked eye is 4.1 * 10-5 m.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 light of a certain wavelength, .The index of refraction of the aqueous humor is 1.30.What is the wavelength of this light, ?
A)655 nm
B)486 nm
C)421 nm
D)615 nm
E)520 nm
A)655 nm
B)486 nm
C)421 nm
D)615 nm
E)520 nm
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25
Coherent monochromatic light with wavelength = 633 nm is incident on two slits that are separated by a distance d = 0.050 mm.The intensity of the radiation at the central maximum on a screen 3.45 m away from each slit is 100 W/cm2.At what distance from the central intensity maximum does the intensity drop to a quarter of the peak intensity value?
A)1.8 cm
B)1.0 cm
C)1.5 cm
D)2.0 cm
E)0.50 cm
A)1.8 cm
B)1.0 cm
C)1.5 cm
D)2.0 cm
E)0.50 cm
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26
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
A)2I and 0
B)2I and 1.4 I
C)10I and 2I
D)4I and 2I
E)16I and 4I
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27
A diffraction grating has 5000 lines/cm with white light (400-650nm).What wavelength(s)will experience constructive interference at 45 ?
A)442 nm
B)471 nm
C)505 nm
D)589 nm
E)None of these will be visible.
A)442 nm
B)471 nm
C)505 nm
D)589 nm
E)None of these will be visible.
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28
Which of the following light types on a grating with 1000 rulings with a spacing of 2µm would produce the largest number of maxima on a screen 5 m away?
A)blue light of wavelength 450 nm
B)green light of 550 nm wavelength
C)yellow light of wavelength 575 nm
D)red light of wavelength 625 nm
E)More information is needed.
A)blue light of wavelength 450 nm
B)green light of 550 nm wavelength
C)yellow light of wavelength 575 nm
D)red light of wavelength 625 nm
E)More information is needed.
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29
A laser beam with wavelength 10.6 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 + 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 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
A)purely constructive
B)purely destructive
C)mostly constructive
D)mostly destructive
E)neither constructive nor destructive
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30
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 ( = 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
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
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31
The smallest object separation a near-sighted person can resolve with her naked eye is 3.3 * 10-5 m.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 ( = 520 nm).What is the index of refraction of the aqueous humor?
A)1.30
B)1.50
C)1.40
D)1.20
E)1.10
A)1.30
B)1.50
C)1.40
D)1.20
E)1.10
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32
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
A)0.3 m
B)2.4 m
C)15 m
D)120 m
E)2300 m
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33
The smallest object separation a near-sighted person can resolve with her naked eye is 4.1 * 10-5 m.Assume her eye has a near point of 20 cm and a far point of 2.0 m,and she is using blue-green light ( = 520 nm).The index of refraction of the aqueous humor is 1.30.What is the diameter of her pupil?
A)3.1 mm
B)3.0 mm
C)2.9 mm
D)3.2 mm
E)2.8 mm
A)3.1 mm
B)3.0 mm
C)2.9 mm
D)3.2 mm
E)2.8 mm
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34
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, a = 629.8 nm and 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
A)1
B)1.5
C)2
D)2.5
E)3
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35
Light from a laser strikes a diffraction grating.The central and first order principal maxima are separated by 0.325 m on a wall 1.00 m from the grating.Determine the distance separating adjacent slits in the grating if the wavelength of the laser light used is 454 nm.
A)1540 nm
B)1210 nm
C)2200 nm
D)1390 nm
E)1470 nm
A)1540 nm
B)1210 nm
C)2200 nm
D)1390 nm
E)1470 nm
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36
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/ .
A)halved.
B)doubled.
C)not changed.
D)changed by a factor of 1/ .
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37
Blue light ( vac = 440 nm )shines onto a puddle of water (nwater = 1.33).There is a thin layer of oil (n = 1.47)on top of this water.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
A)74.8 nm
B)82.7 nm
C)110 nm
D)150 nm
E)165 nm
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38
Light of wavelength 450 nm is incident on two slits in a piece of paper separated by 1 mm.What is the angle of the twelfth interference maximum?
A)0.3 mrad
B)1.4 mrad
C)5.4 mrad
D)7.5 mrad
E)12.3 mrad
A)0.3 mrad
B)1.4 mrad
C)5.4 mrad
D)7.5 mrad
E)12.3 mrad
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39
How large would a radio telescope have to be in order to image an object in the radio spectrum with a resolution of 2.8 * 10-7 radians assuming the wavelength of the waves are 10 cm?
A)24 m
B)350 m
C)4650 m
D)32,900 m
E)436,000 m
A)24 m
B)350 m
C)4650 m
D)32,900 m
E)436,000 m
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40
Blue light ( 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
A)74.8 nm
B)82.7 nm
C)110 nm
D)150 nm
E)165 nm
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41
X-rays are directed toward a crystal.The first order diffraction peak appears at 11 for certain crystallographic planes.The separation between the planes is 0.512 nm.What is the wavelength of the x-rays?
A)0.312 nm.
B)0.216 nm.
C)0.183 nm.
D)0.195 nm.
E)0.140 nm
A)0.312 nm.
B)0.216 nm.
C)0.183 nm.
D)0.195 nm.
E)0.140 nm
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42
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.
A)1.
B)2.
C)3.
D)4.
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43
X-rays of wavelength 1.25 angstroms are incident upon a crystal face in a Bragg refraction experiment.If the first order peak is observed at 17.0 relative to the crystal surface,what is the crystal spacing being probed?
A)2.14 angstroms
B)4.28 angstroms
C)0.65 angstroms
D)1.30 angstroms
E)None are correct.
A)2.14 angstroms
B)4.28 angstroms
C)0.65 angstroms
D)1.30 angstroms
E)None are correct.
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44
X-rays with a wavelength of 1.0 nm are scattered from two small tumors in the human body.If the two tumors are a distance of 5.0 cm away from the x-ray detector,and the detector has an entrance aperture of 0.5 mm,what is the minimum separation between the two tumors that will allow the x-ray detector to determine that there are two tumors instead of one?
A)1.0 nm
B)2.0 nm
C)61 nm
D)120 nm
E)240 nm
A)1.0 nm
B)2.0 nm
C)61 nm
D)120 nm
E)240 nm
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45
A glass with a refractive index of 1.5 is inserted into one arm of a Michelson interferometer that uses a 600-nm light source.This causes the fringe pattern to shift by 1000 fringes.How thick is the glass?
A)1.5 mm
B)0.2 mm
C)0.6 mm
D)0.9 mm
E)1.2 mm
A)1.5 mm
B)0.2 mm
C)0.6 mm
D)0.9 mm
E)1.2 mm
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46
A red laser pointer with a wavelength of 635 nm is shined on a double-slit producing an interference pattern on a screen that is 1.6 m behind the double-slit.The central maximum of the interference pattern has a width of 4.2 cm,and it is noted that the third bright spot is missing on both sides.What is the size of the individual slits that were used to make the double-slit?
A)4.0 * 10-6 m
B)8.1 * 10-6 m
C)16 * 10-6 m
D)24 * 10-6 m
E)48 * 10-6 m
A)4.0 * 10-6 m
B)8.1 * 10-6 m
C)16 * 10-6 m
D)24 * 10-6 m
E)48 * 10-6 m
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47
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
A)13 cm
B)32 cm
C)38 cm
D)65 cm
E)75 cm
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48
In a single-slit diffraction experiment,what is the largest slit width for which there are no minima when the wavelength of the incident light on the single slit is 600 nm?
A)300 nm
B)600 nm
C)900 nm
D)1200 nm
A)300 nm
B)600 nm
C)900 nm
D)1200 nm
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49
White light is shined on a sheet of mica that has a uniform thickness of 1.3 m.When the reflected light is viewed using a spectrometer,it is noted that light with wavelengths of 432 nm,483 nm,548 nm,632 nm,and 747 nm are not present in the reflected light.What is the index of refraction of the mica?
A)1.2
B)1.4
C)1.5
D)1.6
E)1.8
A)1.2
B)1.4
C)1.5
D)1.6
E)1.8
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50
In Young's double-slit experiment a laser beam is aimed at an opaque screen containing two long narrow slits that are very close together.The interference pattern in the form of equally spaced dark and bright lines,called interference fringes,is observed on a viewing screen.When the viewing screen is moved closer to the double slit,the interference fringes
A)get brighter.
B)get brighter and also get closer.
C)get brighter and also get farther apart.
D)get out of focus.
E)disappear.
A)get brighter.
B)get brighter and also get closer.
C)get brighter and also get farther apart.
D)get out of focus.
E)disappear.
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51
X-rays of wavelength 0.14 nm are directed toward a crystal.The separation between the planes is 0.512 nm.At what angle,relative to the crystallographic planes does the first order diffraction peak appear?
A)11.0
B)7.86
C)9.05
D)1.41
E)5.67
A)11.0
B)7.86
C)9.05
D)1.41
E)5.67
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52
A telescope has an aperture of 20.3 cm.How far apart must two blue stars (wavelength = 490 nm)be if they are 65 light years away (1 ly = 9.46 * 1015m)in order for the telescope to be able to resolve the two stars?
A)1.81 * 1012m
B)1.48 * 1012m
C)2.79 * 1010m
D)2.28 * 1010m
A)1.81 * 1012m
B)1.48 * 1012m
C)2.79 * 1010m
D)2.28 * 1010m
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53
What is the farthest distance a spherical object of radius r = 5 mm can easily be seen when viewed by our naked eye? You may assume = 550 nm and that the diameter of the human pupil is d = 10.0 mm.
A)150 m
B)250 m
C)75 m
D)300 m
A)150 m
B)250 m
C)75 m
D)300 m
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54
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
B)34
C)36
D)72
A)17
B)34
C)36
D)72
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55
X-rays of wavelength 0.14 nm are directed toward a crystal.The first order diffraction peak appears at 11 for certain crystallographic planes.The separation between the planes is
A)0.098 nm.
B)0.183 nm.
C)0.367 nm.
D)0.488 nm.
E)0.512 nm.
A)0.098 nm.
B)0.183 nm.
C)0.367 nm.
D)0.488 nm.
E)0.512 nm.
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56
A Michelson interferometer is illuminated with a 600-nm light source.How many fringes are observed if one of the mirrors of the interferometer is moved a distance of 200 m?
A)200 fringes
B)333 fringes
C)667 fringes
D)33 fringes
A)200 fringes
B)333 fringes
C)667 fringes
D)33 fringes
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57
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.
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.
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58
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
A)7.0 m
B)5.3 m
C)4.3 m
D)4.1 m
E)3.5 m
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59
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.
A)1.11.
B)1.23.
C)1.5.1.
D)1.62.
E)1.79.
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60
Light from a HeNe laser (632.8 nm)is incident upon an interferometer in which the two paths for light to travel differ by an amount L.Destructive interference is observed in the initial setup.Then,one of the paths is then shortened,and as this occurs,the interference goes from destructive slowly to constructive to destructive,and finally to constructive again.By what amount was the path length shortened?
A)950 nm
B)1900 nm
C)1270 nm
D)320 nm
A)950 nm
B)1900 nm
C)1270 nm
D)320 nm
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61
Which of the following statements is false?
A)As the distance between two narrow slits is made smaller,the interference pattern produced by them on a screen gets wider.
B)As the width of a single slit is narrowed,the diffraction pattern on a screen gets wider.
C)As the wavelength of light hitting a single slit is reduced,the diffraction pattern on a screen gets wider.
D)When a diffraction grating is illuminated by white light,the first order maximum for green light is farther from the central maximum than first order maximum for blue light.
E)If two polarizers have their axes 90 apart,introducing a third polarizer between the two can allow light to be transmitted through all three.
A)As the distance between two narrow slits is made smaller,the interference pattern produced by them on a screen gets wider.
B)As the width of a single slit is narrowed,the diffraction pattern on a screen gets wider.
C)As the wavelength of light hitting a single slit is reduced,the diffraction pattern on a screen gets wider.
D)When a diffraction grating is illuminated by white light,the first order maximum for green light is farther from the central maximum than first order maximum for blue light.
E)If two polarizers have their axes 90 apart,introducing a third polarizer between the two can allow light to be transmitted through all three.
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62
Which of these statements are true? (i)When two waves with the same frequency and amplitude overlap,the result is a wave with the same frequency and twice the amplitude.
(ii.If the two waves with the same frequency and amplitude are 180 out of phase,the amplitude of the resulting wave is zero.
(iii)If two waves have the same frequency and amplitude but one is positive and the other is negative,the resulting wave is a standing wave with the same frequency and amplitude.
(iv.Interference maximum occurs when waves cancel each other out.
A)(i)and (iv)are true.
B)(ii)and (iii)are true.
C)(i)and (ii)are true.
D)All are true.
E)None are true.
(ii.If the two waves with the same frequency and amplitude are 180 out of phase,the amplitude of the resulting wave is zero.
(iii)If two waves have the same frequency and amplitude but one is positive and the other is negative,the resulting wave is a standing wave with the same frequency and amplitude.
(iv.Interference maximum occurs when waves cancel each other out.
A)(i)and (iv)are true.
B)(ii)and (iii)are true.
C)(i)and (ii)are true.
D)All are true.
E)None are true.
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63
Light in air with index of refraction n1 = 1.00059 is incident perpendicularly on a coated lens as shown.The coating of the lens has an index of refraction of n2 = 1.30.The lens has an index of refraction n3 = 1.60.What is the minimum thickness (in nm)of the coating needed to prevent reflection of light with a wavelength of 500 nm? 
A)96.2
B)120.2
C)150.2
D)187.8
E)234.8

A)96.2
B)120.2
C)150.2
D)187.8
E)234.8
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64
The diffraction pattern shown was made on a screen 6 meters from a grating.The wavelength of the light was 500 nm.What must have been the separation of the slits in the grating (in mm)? 
A)0.05
B)3.00
C)0.10
D)0.30
E)More information is needed.

A)0.05
B)3.00
C)0.10
D)0.30
E)More information is needed.
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65
The two headlights of an approaching automobile are a distance d = 1.80 m apart.An insect that has eyes with diameter 0.900 mm sees the car coming.How far away from the car (in m)can the insect tell that the car has two headlights? Assume light with wavelength 580.0 nm.
A)1.83 * 103
B)2.29 * 103
C)2.86 * 103
D)3.58 * 103
E)4.47 * 103
A)1.83 * 103
B)2.29 * 103
C)2.86 * 103
D)3.58 * 103
E)4.47 * 103
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66
A diffraction grating x = 1.30 cm wide produces a first order maximum at = 5.90 degrees with light of wavelength 590.0 nm.What is the number of lines in the grating? 
A)2265
B)3012
C)4006
D)5329
E)7087

A)2265
B)3012
C)4006
D)5329
E)7087
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67
A wedge of air between two glass plates is illuminated with 500 nm light.How much thicker (in nm)is the wedge at the 16th dark fringe than it is at the 6th?
A)10,000
B)100
C)25
D)5000
E)2500
A)10,000
B)100
C)25
D)5000
E)2500
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68
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
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69
What could have made the intensity pattern shown on a screen D meters away (d is slit spacing,b is slit width and is wavelength)? 
A)a double slit with D /d = 1 cm
B)single slit with D /b = 1 cm
C)single slit with D /b = 2 cm
D)diffraction grating with D /d = 1 cm
E)single slit with D /b = 0.5 cm

A)a double slit with D /d = 1 cm
B)single slit with D /b = 1 cm
C)single slit with D /b = 2 cm
D)diffraction grating with D /d = 1 cm
E)single slit with D /b = 0.5 cm
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70
You have single slit diffraction with a wavelength of 570 nm at a distance of 100 cm.If the distance to the third minimum from the center of the pattern is 0.85 mm,what is the width of the slit? 
A)3.0 mm
B)1.5 mm
C)2.5 mm
D)2.0 mm
E)1.0 mm

A)3.0 mm
B)1.5 mm
C)2.5 mm
D)2.0 mm
E)1.0 mm
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71
Which of the changes would double the separation of the maxima on the screen? 
A)double f,the frequency of the light
B)reduce D to D/2
C)double d,the slit separation
D)reduce d,the slit separation to d/2
E)reduce a,the slit opening,to a/2

A)double f,the frequency of the light
B)reduce D to D/2
C)double d,the slit separation
D)reduce d,the slit separation to d/2
E)reduce a,the slit opening,to a/2
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72
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
A)1000
B)500
C)2.
D)100
E)3 * 108
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73
A soap film made with material of index of refraction n = 1.9 is illuminated by white light.If the reflected light is maximum at = 350 nm,what is the minimum thickness the film could have had?
A)175 nm
B)200 nm
C)350 nm
D)46 nm
E)420 nm
A)175 nm
B)200 nm
C)350 nm
D)46 nm
E)420 nm
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74
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
A)468 nm
B)511 nm
C)632 nm
D)722 nm
E)891 nm
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75
You have single slit diffraction using monochromatic light at a screen to slit distance of 100 cm,and the width of the slit aperture is 1.0 mm.If the distance to the third minimum from the center of the pattern is 2.0 mm,what is the wavelength of the monochromatic light? 
A)670 nm
B)410 nm
C)490 nm
D)630 nm
E)570 nm

A)670 nm
B)410 nm
C)490 nm
D)630 nm
E)570 nm
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76
What is the wavelength in nm of a 1.00 * 1016 Hz wave traveling in a material with index of refraction 1.05? cvacuum = 3.00 * 108 m/s.
A)3.50 * 106
B)2.85 * 10-6
C)457.
D)0.00234
E)28.6
A)3.50 * 106
B)2.85 * 10-6
C)457.
D)0.00234
E)28.6
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