Question 1

If the temperature of a fixed amount of an ideal gas is increased,it NECESSARILY follows that

Accepted Answer

A)  the pressure of the gas will increase. 
B)  the volume of the gas will increase. 
C)  the speed of the gas molecules will increase. 
D)  All of the above statements are correct. 
A)  the pressure of the gas will increase. 
B)  the volume of the gas will increase. 
C)  the speed of the gas molecules will increase. 
D)  All of the above statements are correct.

Question 2

A thermally isolated system is made up of a hot piece of aluminum and a cold piece of copper; the aluminum and the copper are in thermal contact.The specific heat of aluminum is more than double that of copper.Which object experiences the greater temperature change during the time the system takes to reach thermal equilibrium?

Accepted Answer

A)  The copper experiences a greater temperature change. 
B)  The aluminum experiences a greater temperature change. 
C)  Neither; both objects experience the same magnitude temperature change. 
D)  It is impossible to tell without knowing the masses. 
E)  It is impossible to tell without knowing the volumes. 
A)  The copper experiences a greater temperature change. 
B)  The aluminum experiences a greater temperature change. 
C)  Neither; both objects experience the same magnitude temperature change. 
D)  It is impossible to tell without knowing the masses. 
E)  It is impossible to tell without knowing the volumes.

Question 3

A uniform solid sphere of mass M and radius R rotates with an angular speed ω about an axis through its center.A uniform solid cylinder of mass M,radius R,and length 2R rotates through an axis running through the central axis of the cylinder.What must be the angular speed of the cylinder so it will have the same rotational kinetic energy as the sphere?

Accepted Answer

A)  2ω/5 
B)    ω 
C)  4ω/5 
D)  2ω/   
E)  ω/   
A)  2ω/5 
B)    ω 
C)  4ω/5 
D)  2ω/   
E)  ω/

Question 4

A certain planet has an escape speed V.If another planet has twice size and twice the mass of the first planet,its escape speed will be

Accepted Answer

A)  2V. 
B)    V. 
C)  V. 
D)  V/2. 
E)  V/   . 
A)  2V. 
B)    V. 
C)  V. 
D)  V/2. 
E)  V/   .

Question 5

Two forces act on a 55-kg object.One force has magnitude 65 N directed 59° clockwise from the positive x-axis,and the other has a magnitude 35 N at 32° clockwise from the positive y-axis.What is the magnitude of this object's acceleration?

Accepted Answer

A)  1.1 m/s2 
B)  1.3 m/s2 
C)  1.5 m/s2 
D)  1.7 m/s2 
A)  1.1 m/s2 
B)  1.3 m/s2 
C)  1.5 m/s2 
D)  1.7 m/s2

Question 6

When a vapor condenses

Accepted Answer

A)  the temperature of the substance increases. 
B)  the temperature of the substance decreases. 
C)  heat energy leaves the substance. 
D)  heat energy enters the substance. 
A)  the temperature of the substance increases. 
B)  the temperature of the substance decreases. 
C)  heat energy leaves the substance. 
D)  heat energy enters the substance.

Question 7

Consider a solenoid of length L,N windings,and radius b (L is much longer than b).A current I is flowing through the wire.If the length of the solenoid became twice as long (2L),and all other quantities remained the same,the magnetic field inside the solenoid would

Accepted Answer

A)  remain the same. 
B)  become twice as strong. 
C)  become one half as strong. 
A)  remain the same. 
B)  become twice as strong. 
C)  become one half as strong.

Question 8

A large magnetic flux change through a coil must induce a greater emf in the coil than a small flux change.

Accepted Answer

A) True 
 B)False

Question 9

Consider two closely spaced and oppositely charged parallel metal plates.The plates are square with sides of length L and carry charges Q and -Q on their facing surfaces.What is the magnitude of the electric field in the region between the plates?

Accepted Answer

A)  E =   
B)  E =   
C)  E = 0 
D)  E =   
E)  E =   
A)  E =   
B)  E =   
C)  E = 0 
D)  E =   
E)  E =

Question 10

The charge on the square plates of a parallel-plate capacitor is Q.The potential across the plates is maintained with constant voltage by a battery as they are pulled apart to twice their original separation,which is small compared to the dimensions of the plates.The amount of charge on the plates is now equal to

Accepted Answer

A)  4Q. 
B)  2Q. 
C)  Q. 
D)  Q/2. 
E)  Q/4. 
A)  4Q. 
B)  2Q. 
C)  Q. 
D)  Q/2. 
E)  Q/4.

Question 11

The speed of light in a material is 0.50c.What is the critical angle of a light ray at the interface between the material and a vacuum?

Accepted Answer

A)  30° 
B)  21° 
C)  24° 
D)  27° 
A)  30° 
B)  21° 
C)  24° 
D)  27°

Question 12

Given that the wavelengths of visible light range from 400 nm to 700 nm,what is the highest frequency of visible light? (c = 3.0 × 108 m/s)

Accepted Answer

A)  3.1 × 108 Hz 
B)  7.5 × 1014 Hz 
C)  2.3 × 1020 Hz 
D)  4.3 × 1014 Hz 
E)  5.0 × 108 Hz 
A)  3.1 × 108 Hz 
B)  7.5 × 1014 Hz 
C)  2.3 × 1020 Hz 
D)  4.3 × 1014 Hz 
E)  5.0 × 108 Hz

Question 13

A set of twins,Andrea and Courtney,are initially 10 years old. While Courtney remains on Earth,Andrea rides on a spaceship which travels away from Earth at a speed of 0.60c for five years (as measured by Courtney),then immediately turns around and comes back at 0.60c. When Andrea returns,Courtney is 20 years old. How old is Andrea upon her return?

Accepted Answer

A)  10 y 
B)  12 y 
C)  15 y 
D)  18 y 
E)  20 y 
A)  10 y 
B)  12 y 
C)  15 y 
D)  18 y 
E)  20 y

Question 14

A tank holds a 1.44-m thick layer of oil that floats on a 0.96-m thick layer of brine.Both liquids are clear and do not intermix.Point O is at the bottom of the tank,on a vertical axis.The indices of refraction of the oil and the brine are 1.40 and 1.52,respectively.A ray originating at O reaches the brine-oil interface at the critical angle.What is the distance of this point from the axis?

Accepted Answer

A)  1.5 m 
B)  1.7 m 
C)  1.9 m 
D)  2.1 m 
E)  2.3 m 
A)  1.5 m 
B)  1.7 m 
C)  1.9 m 
D)  2.1 m 
E)  2.3 m

Question 15

A beam of electrons is accelerated through a potential difference of 10 kV before entering a region having uniform electric and magnetic fields that are perpendicular to each other and perpendicular to the direction in which the electron is moving. If the magnetic field in this region has a value of 0.010 T,what magnitude of the electric field is required if the particles are to be undeflected as they pass through the region?

Accepted Answer

A)  2.3 × 103 V/m 
B)  7.9 × 103 V/m 
C)  5.9 × 105 V/m 
D)  6.0 × 105 V/m 
E)  7.2 × 106 V/m 
A)  2.3 × 103 V/m 
B)  7.9 × 103 V/m 
C)  5.9 × 105 V/m 
D)  6.0 × 105 V/m 
E)  7.2 × 106 V/m

Question 16

The angular momentum of a system remains constant

Accepted Answer

A)  when the total kinetic energy is constant. 
B)  when no net external force acts on the system. 
C)  when the linear momentum and the energy are constant. 
D)  when no torque acts on the system. 
E)  all the time since it is a conserved quantity. 
A)  when the total kinetic energy is constant. 
B)  when no net external force acts on the system. 
C)  when the linear momentum and the energy are constant. 
D)  when no torque acts on the system. 
E)  all the time since it is a conserved quantity.

Question 17

A real (non-Carnot)heat engine,operating between heat reservoirs at temperatures of 650 K and 270 K,performs 4.3 kJ of net work and rejects 8.0 kJ of heat in a single cycle.The thermal efficiency of this heat engine is closest to

Accepted Answer

A)  0.35. 
B)  0.31. 
C)  0.28. 
D)  0.38. 
E)  0.42. 
A)  0.35. 
B)  0.31. 
C)  0.28. 
D)  0.38. 
E)  0.42.

Question 18

The process shown in the pV diagram in the figure is an

Accepted Answer

A)  adiabatic expansion. 
B)  isothermal expansion. 
C)  isochoric expansion. 
D)  isobaric expansion. 
E)  isochoric compression. 
A)  adiabatic expansion. 
B)  isothermal expansion. 
C)  isochoric expansion. 
D)  isobaric expansion. 
E)  isochoric compression.

Question 19

A proton beam that carries a total current of 1.3 mA has 10.0 mm diameter.The current density in the proton beam increases linearly with distance from the center.This is expressed mathematically as
J(r)= J0 (r/R),where R is the radius of the beam and J0 is the current density at the edge.Determine the value of J0.

Accepted Answer

A)  25 A/m2 
B)  6.2 A/m2 
C)  12 A/m2 
D)  17 A/m2 
A)  25 A/m2 
B)  6.2 A/m2 
C)  12 A/m2 
D)  17 A/m2

Question 20

The figure represents the velocity of a particle as it travels along the x-axis.At what value (or values)of t is the instantaneous acceleration equal to zero?

Accepted Answer

A)  t = 0 
B)  t = 0.5 s and t = 2 s 
C)  t = 1 s 
A)  t = 0 
B)  t = 0.5 s and t = 2 s 
C)  t = 1 s

Exam 1: A: Foundations

If the temperature of a fixed amount of an ideal gas is increased,it NECESSARILY follows that

A certain planet has an escape speed V.If another planet has twice size and twice the mass of the first planet,its escape speed will be

Two forces act on a 55-kg object.One force has magnitude 65 N directed 59° clockwise from the positive x-axis,and the other has a magnitude 35 N at 32° clockwise from the positive y-axis.What is the magnitude of this object's acceleration?

When a vapor condenses

Consider a solenoid of length L,N windings,and radius b (L is much longer than b).A current I is flowing through the wire.If the length of the solenoid became twice as long (2L),and all other quantities remained the same,the magnetic field inside the solenoid would

A large magnetic flux change through a coil must induce a greater emf in the coil than a small flux change.

Consider two closely spaced and oppositely charged parallel metal plates.The plates are square with sides of length L and carry charges Q and -Q on their facing surfaces.What is the magnitude of the electric field in the region between the plates?

The speed of light in a material is 0.50c.What is the critical angle of a light ray at the interface between the material and a vacuum?

Given that the wavelengths of visible light range from 400 nm to 700 nm,what is the highest frequency of visible light? (c = 3.0 × 108 m/s)

The angular momentum of a system remains constant

A real (non-Carnot)heat engine,operating between heat reservoirs at temperatures of 650 K and 270 K,performs 4.3 kJ of net work and rejects 8.0 kJ of heat in a single cycle.The thermal efficiency of this heat engine is closest to

The process shown in the pV diagram in the figure is an

The figure represents the velocity of a particle as it travels along the x-axis.At what value (or values)of t is the instantaneous acceleration equal to zero?

Foundations

Motion in One Dimension

Acceleration

Momentum

Energy

Principle of Relativity

Interactions

Force

Work

Motion in a Plane

Motion in a Circle

Torque

Gravity

Special Relativity

Periodic Motion

Waves in One Dimension

Waves in Two and Three Dimensions

Fluids

Entropy

Energy Transferred Thermally

Degradation of Energy

Electric Interactions

The Electric Field

Gausss Law

Work and Energy in Electrostatics

Charge Separation and Storage

Magnetic Interactions

Magnetic Fields of Charged Particles in Motion

Changing Magnetic Fields

Changing Electric Fields

Electric Circuits

Electronics

Ray Optics

Wave and Particle Optics

Filters

Given that the wavelengths of visible light range from 400 nm to 700 nm,what is the highest frequency of visible light? (c = 3.0 × 10⁸ m/s)