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As we watch, a spaceship passes us in time Δ\Delta t.The crew of the spaceship measures the passage time and finds it to be Δ\Delta t'.Which of the following statements is true?


A) " Δ\Delta t is the proper time for the passage and it is smaller than Δ\Delta t'"
B) " Δ\Delta t is the proper time for the passage and it is greater than Δ\Delta t'"
C) " Δ\Delta t' is the proper time for the passage and it is smaller than Δ\Delta t"
D) " Δ\Delta t' is the proper time for the passage and it is greater than Δ\Delta t"
E) "None of the above statements are true."

F) A) and E)
G) D) and E)

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According to the theory of relativity:


A) mass is a form of energy
B) moving particles lose mass
C) momentum is not conserved in high speed collisions
D) a rod moving rapidly sideways (perpendicular to its length) is shorter along its length
E) a rod moving rapidly sideways (perpendicular to its length) is longer along its length

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

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If the kinetic energy of a particle is equal to its rest energy then its speed must be:


A) 0.25c
B) 0.50c
C) 0.87c
D) c
E) unknown unless its mass is given

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

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Two events occur on the x axis separated in time by Δ\Delta t and in space by Δ\Delta x.A reference frame, traveling at less than the speed of light, in which the two events occur at the same coordinate:


A) exists no matter what the values of Δ\Delta x and F Δ\Delta t
B) exists only if Δ\Delta x/ Δ\Delta < c
C) exists only if Δ\Delta x/ Δ\Delta t > c
D) exists only if Δ\Delta x/ Δ\Delta t = c
E) does not exist under any condition

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

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If the mass of a particle is zero its speed must be:


A) c
B) infinite
C) 0
D) any speed less than c
E) any speed greater than c

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

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Two isotopes of hydrogen fuse to form a helium nucleus and a neutron: 2H + 3H → 4He + n The masses are: Two isotopes of hydrogen fuse to form a helium nucleus and a neutron: <sup>2</sup>H + <sup>3</sup>H → <sup>4</sup>He + n The masses are:   What is the Q value of this reaction? A) 1.9 MeV B) 2.5 MeV C) 2.8 MeV D) 17.6 MeV E) 938 MeV What is the Q value of this reaction?


A) 1.9 MeV
B) 2.5 MeV
C) 2.8 MeV
D) 17.6 MeV
E) 938 MeV

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

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Pi mesons at rest have a half-life of T.If a beam of pi mesons is traveling at a speed of v = β\beta c, the distance in which the intensity of the beam is halved is:


A) "c β\beta T(1 - β\beta 2) -1/2"
B) "c β\beta T[(1 + β\beta ) /(1 - β\beta ) ]1/2"
C) " β\beta vT"
D) "(1 - β\beta 2) 1/2vT"
E) "none of the above"

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

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The length of a meter stick moving at 0.95c in the direction of its length with respect to the laboratory is measured by simultaneously marking its ends on an axis which is stationary in the laboratory.As measured by clocks moving with the stick, the time interval between the making of the back mark and the making of the front mark is:


A) 0 s
B) 1.1 *10-9 s
C) 3.2 * 10-9 s
D) 3.5 * 10-9 s
E) 1.1 *10-8 s

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

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An electron (m = 9.11 *10-31 kg) has a speed of 0.95c.The magnitude of its momentum is:


A) 2.6 *10-22 kg . m/s
B) 2.9 * 10-22 kg . m/s
C) 6.0 * 10-22 kg .m/s
D) 8.3 *10-22 kg . m/s
E) 8.8 * 10-22 kg . m/s

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

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A consequence of Einstein's theory of relativity is:


A) moving clocks appear to run more slowly than when they are at rest
B) moving rods appear longer than when they are at rest
C) light has both wave and particle properties
D) the laws of physics must appear the same to all observers moving with uniform velocity relative to each other
E) everything is relative

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

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The work that must be done to increase the speed of an electron (m = 9.11 * 10-31 kg) from 0.90c to 0.95c is:


A) 8.2 *10-13 J
B) 3.2 *10-13 J
C) 2.6 * 10-13 J
D) 7.4 * 10-14 J
E) 3.8 * 10-15 J

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

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Two events occur on the x axis separated in time by Δ\Delta t and in space by Δ\Delta x.A reference frame, traveling at less than the speed of light, in which the two events occur at the same time:


A) exists no matter what the values of Δ\Delta x and Δ\Delta t
B) exists only if Δ\Delta x/ Δ\Delta t < c
C) exists only if Δ\Delta x/ Δ\Delta t > c
D) exists only if Δ\Delta x/ Δ\Delta t = c
E) does not exist under any condition

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

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The mass of a particle is m.In order for its total energy to be twice its rest energy, its momentum must be:


A) mc/2
B) mc/ The mass of a particle is m.In order for its total energy to be twice its rest energy, its momentum must be: A) mc/2 B) mc/   C) mc D)   E) 2mc
C) mc
D) The mass of a particle is m.In order for its total energy to be twice its rest energy, its momentum must be: A) mc/2 B) mc/   C) mc D)   E) 2mc
E) 2mc

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

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An electron (m = 9.11 * 10-31 kg) has a speed of 0.95c.Its kinetic energy is:


A) 8.2 * 10-14 J
B) 1.8 * 10-13 J
C) 2.0 * 10-13 J
D) 2.2 *10-13 J
E) 2.6 * 10-13 J

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

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A rocket traveling with constant velocity makes an 8.4 * 1015 m trip in 1 year.The proper time between events which mark the beginning and end of the trip is:


A) 0.21 years
B) 0.46 years
C) 1.0 years
D) 2.2 years
E) 4.7 years

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

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A console lamp in the cabin of a spaceship appears green when the ship and observer are both at rest.When the ship is moving at 0.90c away from Earth, passengers on board see:


A) a dark lamp (the frequency is too high to be seen)
B) a dark lamp (the frequency is too low to be seen)
C) a red lamp
D) a violet lamp
E) a green lamp

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

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Frame S' moves in the positive x direction at 0.6c with respect to frame S.A particle moves in the positive x direction at 0.4c as measured by an observer in S'.The speed of the particle as measured by an observer in S is:


A) c/5
B) 5c/19
C) 8c/25
D) 25c/31
E) c

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

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Two events occur 100 m apart with an intervening time interval of 0.60 μ\mu s.The speed of a reference frame in which they occur at the same coordinate is:


A) 0 c
B) 0.25c
C) 0.56c
D) 1.1c
E) 1.8c

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

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Two events occur 100 m apart with an intervening time interval of 0.37 μ\mu s.The speed of a clock that measures the proper time between the events is:


A) 0 c
B) 0.45c
C) 0.56c
D) 0.90c
E) 1.8c

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

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An electron is moving at 0.6c.If we calculate its kinetic energy using (1/2) mv2, we get a result which is:


A) just right
B) just half enough
C) twice the correct value
D) about 1% too low
E) about 28% too low

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

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