Exam 39: Relativity

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The Sun radiates electromagnetic energy at the rate of 3.92 ×\times 1026 W.The mass of the Sun is 1.99 ×\times 1030 kg.What fraction of the Sun's mass is lost during a human lifetime of 75 years?

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If Michelson and Morley had performed a version of their experiment with sound waves,they would not have "heard a fringe shift" in which of the following cases?

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An airplane flies from point A to point B,a distance of 100 km,and back again with an airspeed of 250 km/h.What is the difference in the time for this round trip on a day when a wind of speed 50.0 km/h blows from A toward B and on a day when a wind of speed 50.0 km/h blows in a direction perpendicular to AB?

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The results of the Michelson-Morley experiment can be interpreted to indicate that if an ether exists,

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Castor and Pollux,identical twins,get into their individual spaceships and blast off simultaneously.Castor's is the faster ship,both return to Earth simultaneously.Which of the following statements is true?

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The Sun radiates electromagnetic energy at the rate of 3.92 ×\times 1026 W.What is the change in the Sun's mass during each second that it is radiating energy?

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Which of the following statements about an electron that is accelerated from rest through a potential difference of 150 kV is false?

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Your strange friend flies past you in a relativistic spacecraft holding a meterstick and a clock.The meterstick appears too _____ to you,and the clock appears _____ to you.

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In a nuclear reaction,(0.0036)(1.67 ×\times 10-31 kg)of mass is converted to the kinetic energy of a deuteron that is originally at rest.The kinetic energy of the deuteron is approximately

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A proton with a rest energy of 938 MeV has a speed of 0.99c.What is its momentum in units of GeV/c?

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A standard Canadian football field is 100 m long and 60 m wide.A UFO streaks from one end of the field to the other at a speed of 0.6c relative to the players on the field.An observer in the UFO measures the length of the field to be

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The energy released by the nuclear bomb that destroyed Hiroshima was equivalent to 12.4 kilotons of TNT.This is equivalent to 9.0 ×\times 1026 MeV.The mass that was converted into energy in this explosion was

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What is the speed of an electron whose kinetic energy equals its rest mass?

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What is the difference in age between the mother and son after she returns back to Earth?

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What is the total distance traveled according to the biologist? Give your answer in light-years.

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A particle moves in such a way that its kinetic energy just equals its rest energy.The velocity of this particle is

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Your space vehicle is traveling directly away from Earth with a speed c/2,where c = 3 ×\times 108 m/s is the velocity of light.A light signal is sent from Earth.The speed with which this light passes your vehicle,as measured by the crew,would be

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A spaceship travels at a speed of 0.95c to the nearest star,Alpha Centauri,4.3 light-years away.How long does the trip take from the point of view of the passengers on the ship?

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A proton and an electron are accelerated until their total energy is twice their rest masses.If the rest mass of the proton is Mpc2 = 931 MeV and that of the electron is Mec2 = 0.51 MeV,the ratio of the velocity of the electron to that of the proton is

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A proton that is being accelerated travels along arcs of a circle through the magnetic fields of a cyclotron.Near the beginning of its path through the cyclotron,the speed of the proton is slow and the radii of the arcs are small.Near the end of its path,the radii are large and the speed is c/3,so the motion of the particle must be treated relativistically.What must the ratio of the average magnetic field at the edge of the cyclotron to that at the center be to compensate for the relativistic momentum of the proton? HINT: The cyclotron frequency f = qB/2 π\pi m must remain constant for the proton throughout its path.

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