Question 1

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

Accepted Answer

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

Question 2

Two isotopes of hydrogen fuse to form a helium nucleus and a neutron: 2H + 3H → 4He + n
The masses are:
  What is the Q value of this reaction?

Accepted Answer

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

Question 3

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

Accepted Answer

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

Question 4

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:

Accepted Answer

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

Question 5

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

Accepted Answer

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

Question 6

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

Accepted Answer

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

Question 7

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

Accepted Answer

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 
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

Question 8

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:

Accepted Answer

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 
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

Question 9

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

Accepted Answer

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

Question 10

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

Accepted Answer

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

Question 11

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

Accepted Answer

A) mc/2 
B) mc/   
C) mc 
D)   
E) 2mc 
A) mc/2 
B) mc/   
C) mc 
D)   
E) 2mc

Question 12

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:

Accepted Answer

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 
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

Question 13

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

Accepted Answer

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

Question 14

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:

Accepted Answer

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

Question 15

According to the theory of relativity:

Accepted Answer

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 
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

Question 16

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

Accepted Answer

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

Question 17

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

Accepted Answer

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

Question 18

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:

Accepted Answer

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 
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

Question 19

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

Accepted Answer

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 
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

Question 20

A consequence of Einstein's theory of relativity is:

Accepted Answer

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 
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

Exam 37: Relativity

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

Two isotopes of hydrogen fuse to form a helium nucleus and a neutron: 2H + 3H → 4He + n The masses are: What is the Q value of this reaction?

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

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:

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

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

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

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:

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

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

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

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

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:

According to the theory of relativity:

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

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

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:

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

A consequence of Einstein's theory of relativity is:

Measurement

Motion Along a Straight Line

Vector

Motion in Two and Three Dimensions

Force and Motion I

Force and Motion II

Kinetic Energy and Work

Potential Energy and Conservation of Energy

Center of Mass and Linear Momentum

Rotation

Rolling, Torque, and Angular Momentum

Equilibrium and Elasticity

Gravitation

Fluids

Oscillations

Waves I

Waves II

Temperature, Heat, and the First Law of Thermodynamics

The Kinetic Theory of Gases

Entropy and the Second Law of Thermodynamics

Electric Charge

Electric Fields

Gauss Law

Electric Potential

Capacitance

Current and Resistance

Circuits

Magnetic Fields

Magnetic Fields Due to Currents

Induction and Inductance

Electromagnetic Oscillations and Alternating Current

Maxwells Equations; Magnetism of Matter

Electromagnetic Waves

Images

Interference

Diffraction

Photons and Matter Waves

More About Matter Waves

All About Atoms

Conduction of Electricity in Solids

Nuclear Physics

Energy From the Nucleus

Quarks, Leptons, and the Big Bang

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

Two isotopes of hydrogen fuse to form a helium nucleus and a neutron: ²H + ³H → ⁴He + n The masses are: What is the Q value of this reaction?

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

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

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

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

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

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:

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

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

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:

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