At what distance could one theoretically distinguish two automobile headlights separated by 1.5 meters? Assume a pupil diameter of 0.50 cm and yellow headlights seen at the wavelength 5.0 107 m. Assume eye fluid has an average n = 1.33.
a. 6.0 km
b. 12 km
c. 9.0 km
d. 3.0 km
e. 16 km
[Ques. 2] The large space telescope that has been placed into an Earth orbit has an aperture diameter of 2.40 meters. What angular resolution will this telescope achieve for visible light of wavelength = 4.80 107 m?
a. 2.44 107 rads
b. 2.44 104 rads
c. 2.44 103 rads
d. 1.22 106 rads
e. 2.00 106 rads
[Ques. 3] A ruby laser beam ( = 694.3 nm) is sent outwards from a 2.7-m diameter telescope to the Moon, 384,000 km away. What is the radius of the big red spot on the Moon?
a. 500 m
b. 250 m
c. 120 m
d. 1.0 km
e. 2.7 km
[Ques. 4] A uniform film of oil (n = 1.31) is floating on water. When sunlight in air is incident normally on the film, an observer finds that the reflected light has a brightness maximum at = 450 nm and a brightness minimum at = 600 nm. What is the thickness of the oil film?
[Ques. 5] A soap bubble (n = 1.35) is floating in air. If the thickness of the bubble wall is 115 nm, what visible light wavelength is most strongly reflected?
[Ques. 6] Suppose two flat glass plates 30-cm long are in contact along one end and separated by a human hair at the other end. If the diameter of the hair is 50 m, find the separation of the interference fringes when the plates are illuminated by green light, = 546 nm.
[Ques. 7] Nonreflective coatings for camera lenses reduce the loss of light at various surfaces of multi-lens systems, as well as preventing internal reflections that might mar the image. Find the minimum thickness of a layer of magnesium fluoride (n = 1.38) on flint glass (n = 1.66) that will cause destructive interference of reflected light of wavelength = 550 nm, a wavelength which is near the middle of the visual spectrum.
[Ques. 8] When the adjustable mirror on the Michelson interferometer is moved 20 wavelengths, how many fringe pattern shifts would be counted?
a. 5
b. 10
c. 20
d. 40
e. 80
[Ques. 9] A thin sheet of plastic (n = 1.60) is inserted between two panes of glass to reduce infrared ( = 700 nm) losses. What thickness (in nm) is necessary to produce constructive interference in the reflected infrared radiation?
a. 218
b. 109
c. 55
d. 318
e. 443
[Ques. 10] The light reflected from a soap bubble (n = 1.40) appears red ( = 640 nm) at its center. What is the minimum thickness (in nm)?
a. 124
b. 104
c. 114
d. 134
e. 234
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