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Material Type: Exam; Professor: Collins; Class: Concepts of Physics-GTSC2; Subject: Physics; University: Mesa State College; Term: Spring 2008;
Typology: Exams
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Phys 100 Spring 2008
2 May 2008
Speed vs distance: v =
t
Time dilation: T =
1 − v^2 /c^2
Length contraction: D = D 0 ×
1 − v^2 /c^2
Energy: E =
m × c^2 √ 1 − v^2 /c^2 Rest energy: Erest = m × c^2
Photon energy: E = h × f
deBroglie relation: λ = h m × v
Plank’s constant: h = 6. 6 × 10 −^34 Js
Speed of light: c = 3. 0 × 108 m/s
Two train cars, one carrying Cindy and the other Dale, are at the same location in one instant. Their velocities, as observed from the ground, are as illustrated. Dale observes Cindy’s car. According to him, with what speed and in what direction does Cindy’s car appear to move? Ignore special relativity in this problem.
40 mph
Cindy
100 mph
Dale
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An astronaut travels directly away from the earth at speed of 0. 50 c (50% of the speed of light). A pulse of light is transmitted from the a signalling station on the earth. As observed by the astronaut, what is the speed of the light pulse (choose one)?
a) Exactly the speed of light c. b) Exactly 0. 50 c (50% of the speed of light). c) Exactly 1. 50 c (150% of the speed of light). d) Between 0. 90 c and 0. 95 c (between 90% and 95% of the speed of light).
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Two astronauts, Joe and Kim, each have identical ladders. Joe is a rest with his ladder in a space station and Kim travels with her ladder in a rocket ship. The rocket ship travels at speed 0. 5 c with respect to the space station.
a) Joe observes Kim’s ladder. Describe, including a justification, whether he observes the length of Kim’s ladder to be the same, larger than or smaller than the length of his ladder.
b) Kim observes Joe’s ladder. Describe, including a justification, whether she observes the length of Joe’s ladder to be the same, larger than or smaller than the length of her ladder.
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A typical frequency of ultraviolet light is 1. 2 × 1015 Hz. The frequency of visible red light is
a) The ultraviolet photon is likely to be less destructive to the cell than the red photon. b) The ultraviolet photon is likely to be more destructive to the cell than the red photon. c) The extent to which the photons damage the cell depends on the relative intensities of the light. d) The two photons are likely to be equally destructive to the cell.
/
An electron has mass 9. 11 × 10 −^31 kg.
a) Determine the energy of the electron when it is at rest and when it moves with speed
b) Is it possible to get the electron to move at the speed of light? Justify your answer.
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A proton has mass 1. 67 × 10 −^27 kg. Determine the speed with which the proton must move in order to have the same wavelength as red light, whose wavelength is 650 × 10 −^9 m.
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Red light is incident upon the illustrated slit and bar- rier arrangement. According to the wave description of light, the intensity of the light on a screen is as plotted. Suppose that the intensity of the light that is incident on the barrier is reduced to the point where, at any single time, only a single photon is present between the slits and the screen. Describe the inten- sity pattern produced by a single photon that passes through the slits. Describe the intensity pattern after many photons have passed through the slits.
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