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A single slit of width 0.0300 mm is used to project a diffraction pattern of 500 nm light on a screen at a distance of 2.00 m from the slit.What angle does the central maximum subtend as measured from the slit?


A) 1.91 ^{\circ}
B) 3.82 ^{\circ}
C) 0.945 ^{\circ}
D) 1.50 ^{\circ}
E) 3.00 ^{\circ}

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

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Two coherent sources emit waves of 2.0-m wavelength in phase.If the path length to an observer differs by ________,then _________ interference occurs.


A) 1.0 m,constructive
B) 2.0 m,destructive
C) 3.5 m,constructive
D) 7.0 m,destructive
E) 8.0 m,destructive

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

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X-rays of wavelength 0.080 nm are used in a Bragg scattering experiment with a crystal.If the first order maximum is found at a grazing angle of 6.0 ^{\circ} ,what is the plane spacing in the crystal?


A) 0.31 nm
B) 0.71 nm
C) 1.4 nm
D) 0.38 nm
E) 0.77 nm

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

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Max von Laue is known for his work with


A) double-slit interference.
B) single-slit diffraction.
C) x-ray crystallography.
D) holography.
E) magnetic resonance imaging.

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

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A two-slit apparatus is covered with a red (660 nm) filter.When white light is shone on the filter,on the screen beyond the two-slit apparatus,there are 9 interference minima within the 4.5 cm-wide central diffraction maximum.When a blue (440 nm) filter replaces the red,how many fringes will there be in the central diffraction maximum?


A) 3
B) 13
C) 9
D) 6

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

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What is the minimum thickness of a coating of magnesium fluoride (n = 1.38) applied to glass (n = 1.50) that gives a minimum reflection for 600 nm light?


A) 600 nm
B) 300 nm
C) 435 nm
D) 109 nm
E) 100 nm

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

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A double-slit experiment is performed and then redone using slits of double the previous separation.Nothing else is changed.If the approximation sin θ\theta \approx θ\theta holds,what happens to the angle between the maxima?


A) it stays the same
B) it doubles
C) it quadruples
D) it halves
E) it quarters

F) D) and E)
G) C) and D)

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Huygen's Principle only applies to


A) electromagnetic waves.
B) water waves.
C) sound waves.
D) all of these choices are correct

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

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Two coherent waves,each with intensity I0,reach the same point in phase.The amplitude of the superposed wave is _________.


A) 0
B) I0
C) 2I0
D) 3I0
E) 4I0

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

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Two coherent waves reach the same point in phase.One wave has an intensity of 8.00 units and the other has an intensity of 4.00 units.What is the intensity of the superposed wave?


A) 4.00 units
B) 8.00 units
C) 12.0 units
D) 23.3 units
E) 24.0 units

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

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Holograms appear three dimensional because


A) they are in color.
B) they are transparent.
C) they consist of Young double slits.
D) they recreate wave fronts as if they came from the original source.
E) of their spectral response to refraction.

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

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What is the minimum thickness of the air layer between two flat glass surfaces if the glass is to appear bright when 450 nm light is incident normally?


A) 57.0 nm
B) 113 nm
C) 170 nm
D) 226 nm

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

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Wave 1 has intensity 9.0 units while wave 2 has intensity 4.0 units.What is their ratio of amplitudes,A1/A2?


A) 20
B) 5.1
C) 2.3
D) 1.5
E) 1.3

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

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What minimum thickness of oil (n = 1.50) on the surface of water (n = 1.33) would give constructive interference for 550 nm light with normal incidence?


A) 78.0 nm
B) 80.0 nm
C) 92.0 nm
D) 183 nm
E) 275 nm

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

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Light of wavelength 450 nm produces a first-order maximum at 27 ^{\circ} when viewed through a grating.At what angle would a first order maximum occur for a wavelength of 600 nm viewed through this grating?


A) 54 ^{\circ}
B) 40 ^{\circ}
C) 36 ^{\circ}
D) 37 ^{\circ}
E) 14 ^{\circ}

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

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If the eye can resolve points separated by 2.20 ×\times 10-4 rad,when viewed at 12.0 inches,how many dpi is this? (dpi = dots per inch)


A) 250
B) 340
C) 380
D) 400
E) 590

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

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Using a double-slit with a d = 300 nm and light of a wavelength of 400 nm,what would you see on a distant screen?


A) the intensity is maximum at the center and gradually decreases to either side
B) the intensity is minimal at the center and gradually increases to either side
C) the intensity is maximum in a single narrow line at the center
D) the intensity is minimal in a single narrow line at the center

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

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For an angle of one degree,to how many significant figures do sin θ\theta and θ\theta (in radians) agree?


A) 3
B) 4
C) 5
D) 6
E) 7

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

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How far away can two point sources of wavelength 500 nm be if they are just resolved in a telescope of aperture 1.5 cm?


A) 25 km
B) 12 km
C) 90 m
D) 12 m
E) more information is needed

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

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If the two slits in a two-slit apparatus kept the same width,but the distance between the two slits is increased,the number of interference fringes within the diffraction maximum will:


A) decrease
B) increase
C) may do any of the above.
D) remain the same

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

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