

Physics for Scientists and Engineers
Practice Questions

Course Introduction
Physics for Scientists and Engineers is an intensive course designed to provide a comprehensive foundation in the fundamental principles of physics, emphasizing topics such as classical mechanics, electromagnetism, thermodynamics, optics, and modern physics. The course integrates mathematical problem-solving, experimental laboratory work, and conceptual analysis to cultivate analytical skills and scientific reasoning. Through theoretical instruction and practical experiments, students develop a robust understanding of physical laws and their applications in scientific and engineering contexts, preparing them for advanced study and professional practice in technical fields.
Recommended Textbook
Practice of Physics 1st Global Edition by Eric Mazur
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35 Chapters
2969 Verified Questions
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Page 2

Chapter 1: Foundations
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Sample Questions
Q1) The current definition of the standard meter of length is based on
A) the distance between the earth's equator and north pole.
B) the distance between the earth and the sun.
C) the distance traveled by light in a vacuum.
D) the length of a particular object kept in France.
Answer: C
Q2) Approximately how many pennies would you have to stack to reach an average 8-foot ceiling?
A) 2 × 10<sup>2</sup>
B) 2 × 10<sup>3</sup>
C) 2 × 10<sup>4</sup>
D) 2 × 10<sup>5</sup>
E) 2 × 10<sup>6</sup>
Answer: B
Q3) The number 0.003010 has
A) 7 significant figures.
B) 6 significant figures.
C) 4 significant figures.
D) 2 significant figures.
Answer: C
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Chapter 1: A: Foundations
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Sample Questions
Q1) Salt water is more dense than fresh water.A ship floats in both fresh water and salt water.Compared to the fresh water,the volume of salt water displaced by the ship is A) greater than the volume of fresh water. B) less than the volume of fresh water. C) the same as the volume of fresh water.
Answer: B
Q2) A certain electric furnace consumes 24 kW when it is connected to a 240-V line. What is the resistance of the furnace?
A) 1.0 k
B) 10
C) 2.4
D) 0.42
E) 100
Answer: C
Q3) A 5.0- C point charge is placed at the 0.00 cm mark of a meter stick and a -4.0- C point charge is placed at the 50 cm mark. At what point on a line joining the two charges is the electric field due to these charges equal to zero?
Answer: 4.7 m from the 0.00-cm mark
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Chapter 2: Motion in One Dimension
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Sample Questions
Q1) Arthur and Betty start walking toward each other when they are 100 m apart.Arthur has a speed of 3.0 m/s and Betty has a speed of 2.0 m/s.Their dog,Spot,starts by Arthur's side at the same time and runs back and forth between them at 5.0 m/s.By the time Arthur and Betty meet,what distance has Spot run?
Answer: 100 m
Q2) The position of an object as a function of time is given by x = bt<sup>2</sup>ct,where b = 2.0 m/s<sup>2</sup> and c = 6.7 m/s and x and t are in SI units.What is the instantaneous velocity of the object when t = 2.2?
A) 1.7 m/s
B) 2.1 m/s
C) 2.3 m/s
D) 2.7 m/s
Answer: B
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Chapter 3: Acceleration
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Sample Questions
Q1) An airplane that is flying level needs to accelerate from a speed of 2.00 × 10<sup>2</sup> m/s to a speed of 2)40 × 10<sup>2</sup> m/s while it flies a distance of 1.20 km. What must be the acceleration of the plane?
A) 4.44 m/s<sup>2</sup>
B) 2.45 m/s<sup>2</sup>
C) 7.33 m/s<sup>2</sup>
D) 5.78 m/s<sup>2</sup>
E) 1.34 m/s<sup>2</sup>
Q2) A speeding car is traveling at a constant 30.0 m/s when it passes a stationary police car. If the police car delays for 1.00 s before starting,what must be the magnitude of the constant acceleration of the police car to catch the speeding car after the police car travels a distance of 300 m?
A) 6.00 m/s<sup>2</sup>
B) 3.00 m/s<sup>2</sup>
C) 7.41 m/s<sup>2</sup>
D) 1.45 m/s<sup>2</sup>
E) 3.70 m/s<sup>2</sup>
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Page 6

Chapter 4: Momentum
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Sample Questions
Q1) You are standing on a skateboard,initially at rest.A friend throws a very heavy ball towards you.You can either catch the object or deflect the object back towards your friend (such that it moves away from you with the same speed as it was originally thrown).What should you do in order to MINIMIZE your speed on the skateboard?
A) Catch the ball.
B) Deflect the ball.
C) Your final speed on the skateboard will be the same regardless whether you catch the ball or deflect the ball.
Q2) As a tile falls from the roof of a building to the ground its momentum is conserved. A)True B)False
Q3) A 2.50-kg stone is dropped from rest at a height of 3.75 m.What impulse does gravity impart to this stone from the instant it is dropped until it hits the ground,assuming negligible air resistance?
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Chapter 5: Energy
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Sample Questions
Q1) On a frictionless horizontal table,two blocks (A of mass 2.00 kg and B of mass 3.00 kg)are pressed together against an ideal massless spring that stores 75.0 J of elastic potential energy.The blocks are not attached to the spring and are free to move free of it once they are released from rest.The maximum speed achieved by each block is closest to:
A) 6.71 m/s (A), 4.47 m/s (B)
B) 4.47 m/s (A), 6.71 m/s (B)
C) 5.48 m/s for both
D) 6.12 m/s (A), 5.00 m/s (B)
E) 5.00 m/s (A), 6.12 m/s (B)
Q2) In an INELASTIC collision between two objects
A) the momentum of each object is conserved.
B) the kinetic energy of each object is conserved.
C) the momentum of the system is conserved but the kinetic energy of the system is not conserved.
D) both the momentum and the kinetic energy of the system are conserved.
E) the kinetic energy of the system is conserved, but the momentum of the system is not conserved.
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Chapter 6: Principle of Relativity
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Sample Questions
Q1) An airplane flies between two points on the ground that are 500 km apart. The destination is directly north of the origination of the flight. The plane flies with an air speed of 120 m/s. If a constant wind blows at 10.0 m/s due west during the flight,what direction must the plane fly relative to north to arrive at the destination?
A) 4.78° east of north
B) 4.76° east of north
C) 85.2° west of north
D) 4.78° west of north
E) 4.76° west of north
Q2) A 2.00-m rod of negligible mass connects two very small objects at its ends. The mass of one object is 1.00 kg and the mass of the other is unknown. The center of mass of this system is on the rod a distance 1.60 m from the 1.00-kg mass object. What is the mass of the other object?
A) 4.11 kg
B) 3.22 kg
C) 4.00 kg
D) 0.250 kg
E) 0.800 kg
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Page 9
Chapter 7: Interactions
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Sample Questions
Q1) On a smooth horizontal floor,an object slides into a spring which is attached to another mass that is initially stationary.When the spring is most compressed,both objects are moving at the same speed.Ignoring friction,what is conserved during this interaction?
A) momentum and mechanical energy
B) momentum only
C) kinetic energy only
D) momentum and kinetic energy
E) momentum and potential energy
Q2) Is it possible for a system to have negative potential energy?
A) Yes, as long as the kinetic energy is positive.
B) Yes, as long as the total energy is positive.
C) Yes, since the choice of the zero of potential energy is arbitrary.
D) No, because the kinetic energy of a system must equal its potential energy.
E) No, because this would have no physical meaning.
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10

Chapter 8: Force
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Sample Questions
Q1) During a collision with a wall,the velocity of a 0.200-kg ball changes from 20.0 m/s toward the wall to 12.0 m/s away from the wall. If the time the ball was in contact with the wall was 60.0 ms,what was the magnitude of the average force applied to the ball?
A) 40.0 N
B) 107 N
C) 16.7 N
D) 26.7 N
E) 13.3 N
Q2) A construction worker pulls a box of tools on a smooth horizontal floor with a force of 100 N in a direction of 37.0° above the horizontal. The mass of the box and the tools is 40.0 kg.
(a) Draw a free-body diagram for the box.
(b) Calculate the acceleration of the box.
(c) How hard does the floor push up on the box?
Q3) A car is being towed at constant velocity on a horizontal road using a horizontal chain.The tension in the chain must be equal to the weight of the car in order to maintain constant velocity.
A)True
B)False
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Page 11

Chapter 9: Work
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Sample Questions
Q1) A spring-loaded dart gun is used to shoot a dart straight up into the air,and the dart reaches a maximum height of 24 meters above its point of release.The same dart is shot up a second time from the same gun,but this time the spring is compressed only half as far (compared to the first shot).How far up does the dart go this time? (Neglect friction and assume the spring is ideal and massless.)
A) 6.0 m
B) 12 m
C) 3.0 m
D) 48 m
Q2) A 60.0-kg person drops from rest a distance of 1.20 m to a platform of negligible mass supported by an ideal stiff spring of negligible mass.The platform drops 6.00 cm before the person comes to rest.What is the spring constant of the spring?
A) 2.56 × 10<sup>5</sup> N/m
B) 3.92 × 10<sup>5</sup> N/m
C) 5.45 × 10<sup>4</sup> N/m
D) 4.12 × 10<sup>5</sup> N/m
E) 8.83 × 10<sup>4</sup> N/m
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Chapter 10: Motion in a Plane
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Sample Questions
Q1) A firecracker breaks up into several pieces,one of which has a mass of 200 g and flies off along the X-axis with a speed of 82.0 m/s.A second piece has a mass of 300 g and flies off along the y-axis with a speed of 45.0 m/s.What are the magnitude and direction of the total momentum of these two pieces?
A) 361 kg m/s at 56.3° from the x-axis
B) 93.5 kg m/s at 28.8° from the x-axis
C) 21.2 kg m/s at 39.5° from the x-axis
D) 361 kg m/s at 0.983° from the x-axis
E) 21.2 kg m/s at 56.3° from the x-axis
Q2) A plane flying at 70.0 m/s suddenly stalls.If the acceleration during the stall is 9.8 m/s<sup>2</sup> directly downward,the stall lasts 5.0 s,and the plane was originally climbing at 25° to the horizontal,what is the velocity after the stall?
A) 66 m/s at 17° below the horizontal
B) 66 m/s at 17° above the horizontal
C) 80 m/s at 37° below the horizontal
D) 80 m/s at 37° above the horizontal
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Chapter 11: Motion in a Circle
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Sample Questions
Q1) A potter's wheel,with rotational inertia 46 kg m<sup>2</sup>,is spinning freely at 40 rpm.The potter drops a lump of clay onto the wheel,where it sticks a distance 1.2 m from the rotational axis.If the subsequent angular speed of the wheel and clay is 32 rpm what is the mass of the clay?
A) 8.0 kg
B) 5.4 kg
C) 7.0 kg
D) 8.8 kg
Q2) A dumbbell-shaped object is composed by two equal masses,m,connected by a rod of negligible mass and length r.If I<sub>1</sub> is the moment of inertia of this object with respect to an axis passing through the center of the rod and perpendicular to it and I<sub>2</sub> is the moment of inertia with respect to an axis passing through one of the masses,it follows that
A) I<sub>1</sub> = I<sub>2</sub>.
B) I<sub>1</sub> > I<sub>2</sub>.
C) I<sub>2</sub> > I<sub>1</sub>.
Q3) A 1.25-kg ball begins rolling from rest with constant angular acceleration down a hill.If it takes 3.60 s for it to make the first complete revolution,how long will it take to make the next complete revolution?
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Page 14

Chapter 12: Torque
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Sample Questions
Q1) A uniform solid sphere is rolling without slipping along a horizontal surface with a speed of 5.50 m/s when it starts up a ramp that makes an angle of 25.0° with the horizontal.What is the speed of the sphere after it has rolled 3.00 m up the ramp,measured along the surface of the ramp?
A) 4.01 m/s
B) 8.02 m/s
C) 1.91 m/s
D) 2.16 m/s
E) 3.53 m/s
Q2) A light board,10 m long,is supported by two sawhorses,one at one edge of the board and a second at the midpoint.A small 40-N weight is placed between the two sawhorses,3.0 m from the edge and 2.0 m from the center.What forces are exerted by the sawhorses on the board?
Q3) When you ride a bicycle,in what direction is the angular velocity of the wheels?
A) to your left
B) to your right
C) forwards
D) backwards
E) up
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Page 15
Chapter 13: Gravity
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Sample Questions
Q1) Sputnik I was launched into orbit around Earth in 1957.It had a perigee (the closest approach to Earth,measured from Earth's center)of 6.81 × 10<sup>6</sup> m and an apogee (the furthest point from Earth's center)of 7.53 × 10<sup>6</sup> m.What was its speed when it was at its perigee? The mass of Earth is 5.97 × 10<sup>24</sup> kg and G = 6.67 × 10<sup>-11</sup> N m<sup>2</sup>/kg<sup>2</sup>.
A) 7180 m/s
B) 7840 m/s
C) 8230 m/s
D) 11,000 m/s
E) 13,400 m/s
Q2) Find the orbital speed of an ice cube in the rings of Saturn.The mass of Saturn is 5.68 × 10<sup>26</sup> kg and the rings have an average radius of 100,000 km.(G = 6.67 × 10<sup>-11</sup> N m<sup>2</sup>/kg<sup>2</sup>)
A) 19.5 km/s
B) 27.5 km/s
C) 13.8 km/s
D) 1.95 km/s
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Page 16

Chapter 14: Special Relativity
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Sample Questions
Q1) Someone in Earth's rest frame says that a spaceship's trip between two planets took 10.0 y,while an astronaut on the space ship says that the trip took 6.27 y.Find the speed of the spaceship in terms of the speed of light.
A) 0.779c
B) 0.687c
C) 0.975c
D) 0.384c
Q2) A relativistic proton has a momentum of 1.0 × 10<sup>-17 </sup>kg m/s and a rest energy of 0.15 nJ.What is the kinetic energy of this proton? (c = 3.00 × 10<sup>8</sup> m/s,m<sub>proton</sub> = 1.67 × 10<sup>-27</sup> kg)
A) 1.3 pJ
B) 1.6 pJ
C) 3.0 pJ
D) 2.2 pJ
E) 2.5 pJ
Q3) Two spaceships are approaching one another,each at a speed of 0.28c relative to a stationary observer on Earth.What speed does an observer on one spaceship record for the other approaching spaceship?
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Chapter 15: Periodic Motion
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Sample Questions
Q1) A 5.0-kg block is attached to an ideal massless spring whose spring constant is 125 N/m.The block is pulled from its equilibrium position at x = 0.00 m to a position at x = +0.687 m and is released from rest.The block then executes lightly damped oscillation along the x-axis,and the damping force is proportional to the velocity.When the block first returns to x = 0.00 m,its x component of velocity is -2.0 m/s and its x component of acceleration is +5.6 m/s<sup>2</sup>.
(a)What is the magnitude of the acceleration of the block upon release at x = +0.687 m. (b)Find the damping constant b.
Q2) The position of an object that is oscillating on an ideal spring is given by the equation
x = (12.3 cm)cos[(1.26s<sup>-1</sup>)t].At time t = 0.815 s,
(a)how fast is the object moving?
(b)what is the magnitude of the acceleration of the object?
Q3) The x component of the velocity of an object vibrating along the x-axis obeys the equation
v<sub>x</sub>(t)= (0.445 m/s)sin[(25.4 rad/s)t + 0.223].
(a)What is the amplitude of the motion of this object?
(b)What is the maximum acceleration of the vibrating object?
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18

Chapter 16: Waves in One Dimension
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Sample Questions
Q1) A transverse wave is traveling on a string stretched along the horizontal x-axis.The equation for the vertical displacement y of the string is given by y = 0.0020 cos[ (15x52t)],where all quantities are in SI units.The maximum speed of a particle of the string is closest to A) 0.33 m/s.
B) 0.43 m/s.
C) 0.53 m/s.
D) 0.64 m/s.
E) 0.74 m/s.
Q2) The vertical displacement y(x,t)of a string stretched along the horizontal x-axis is given by y(x,t)= (6.00 mm)cos[(3.25 m<sup>-1</sup>)x - (7.22 rad/s)t].
(a)What is the minimum time for each complete cycle of the wave?
(b)What is the distance between adjacent crests of the wave?
(c)How fast does this wave travel?
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Chapter 17: Waves in Two and Three Dimensions
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Q1) The tension in each of two strings is adjusted so that both vibrate at exactly 666 Hz.The tension in one of the strings is then increased slightly.As a result,six beats per second are heard when both strings vibrate.What is the new frequency of the string that was tightened?
A) 672 Hz
B) 660 Hz
C) 669 Hz
D) 663 Hz
Q2) A stationary siren emits sound of frequency 1000 Hz and wavelength 0.343 m.An observer who is moving toward the siren will measure a frequency f and wavelength for this sound such that
A) f > 1000 Hz and > 0.343 m.
B) f > 1000 Hz and = 0.343 m.
C) f > 1000 Hz and < 0.343 m.
D) f = 1000 Hz and < 0.343 m.
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Chapter 18: Fluids
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Sample Questions
Q1) As the speed of a moving fluid increases,the pressure in the fluid
A) increases.
B) remains constant.
C) decreases.
D) may increase or decrease, depending on the density of the fluid.
Q2) Incompressible water flows out of a large reservoir through a pipe that opens to the atmosphere 5.70 m below the level of the water in the reservoir. What is the speed of the water as it comes out of the pipe?
A) 1.72 m/s
B) 7.47 m/s
C) 55.8 m/s
D) 10.6 m/s
E) 27.9 m/s
Q3) Water flows through a pipe having a varying width.More water flows per second through the wide section than through the narrow section because there is more room for it to flow.
A)True
B)False
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Chapter 19: Entropy
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Q1) If the temperature of a fixed amount of an ideal gas is increased,it NECESSARILY follows that
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.
Q2) When an ideal gas increases in volume at constant pressure,the average kinetic energy of the gas molecules
A) increases.
B) decreases.
C) does not change.
D) may either increase or decrease, depending on whether or not the process is carried out adiabatically.
E) may or may not change, but insufficient information is given to make such a determination.
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22

Chapter 20: Energy Transferred Thermally
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Q1) When a gas undergoes an isothermal process,there is
A) no change in the pressure of the gas.
B) no change in the temperature of the gas.
C) no change in the volume of the gas.
D) no work done by (or on) the gas.
E) no heat added to the gas.
Q2) The gas in a perfectly insulated system does work at a rate of 13 W.At what rate is the internal (thermal)energy of the gas changing?
A) -13 W
B) 13 W
C) 0.00 W
D) 6.5 W
Q3) When a fixed amount of ideal gas goes through an isothermal expansion
A) its internal (thermal) energy does not change.
B) the gas does no work.
C) no heat enters or leaves the gas.
D) its temperature must decrease.
E) its pressure must increase.
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Chapter 21: Degradation of Energy
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Q1) A certain Carnot heat pump transfers energy from the outside of a house,where the temperature is -15°C,to the inside of a room where the temperature is 21°C.If this heat pump runs off of electricity,what is the minimum rate at which it uses electrical energy to deliver 150 W to the inside room?
Q2) An ice cube at 0°C is placed in a very large bathtub filled with water at 30°C and allowed to melt,causing no appreciable change in the temperature of the bath water.Which one of the following statements is true?
A) The entropy gained by the ice cube is equal to the entropy lost by the water.
B) The entropy lost by the ice cube is equal to the entropy gained by the water.
C) The net entropy change of the system (ice plus water) is zero because no heat was added to the system.
D) The entropy of the system (ice plus water) increases because the process is irreversible.
E) The entropy of the water does not change because its temperature did not change.
Q3) According to the second law of thermodynamics,the entropy of any system always increases.
A)True
B)False
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24

Chapter 22: Electric Interactions
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Q1) When two point charges are 2.0 cm apart,each one experiences a 1.0-N electric force due to the other charge. If they are moved to a new separation of 8.0 cm,the electric force on each of them is closest to
A) 1.0 N.
B) 4.0 N.
C) 16 N.
D) 0.25 N.
E) 0.063 N.
Q2) A +7.00 C point charge and -9.00 C point charge are placed along the x-axis at x = 0.000 cm and X = 40.0 cm,respectively.Where must a third charge,q,be placed along the x-axis so that it does not experience any net electric force due to the other two charges?
A) -0.200 m
B) 2.99 m
C) -0.187 m
D) -2.99 m
E) 0.187 m
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Chapter 23: The Electric Field
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Sample Questions
Q1) An atomic nucleus has a charge of +40e. What is the magnitude of the electric field at a distance of 1)0 m from the center of the nucleus? (k = 1/4 <sub>0</sub> = 8.99 × 10<sup>9</sup> N m<sup>2</sup>/C<sup>2</sup>,e = 1.60 × 10<sup>-19</sup>C)
A) 5.4 × 10<sup>-8</sup> N/C
B) 5.6 × 10<sup>-8</sup> N/C
C) 5.8 × 10<sup>-8</sup> N/C
D) 6.0 × 10<sup>-8</sup> N/C
E) 6.2 × 10<sup>-8</sup> N/C
Q2) A 3.0- C positive point charge is located at the origin and a 2.0 C positive point charge is located at X = 0.00 m,y = 1.0 m. Find the coordinates of the point where the net electric field strength due to these charges is zero.
A) x = 0.00 m, y = 0.55 m
B) x = 0.00 m, y = 0.67 m
C) x = 0.00 m, y = 1.5 m
D) x = 0.00 m, y = 0.60 m
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Chapter 24: Gausss Law
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Q1) A charge of 1.0 × 10<sup>-6</sup> C is located inside a sphere,1.25 cm from its center.What is the electric flux through the sphere due to this charge? ( <sub>0</sub> = 8.85 × 10<sup>-12</sup> C<sup>2</sup>/N m<sup>2</sup>)
A) 0.11 N m<sup>2</sup>/C
B) 8.9 N m<sup>2</sup>/C
C) 0.028 N m<sup>2</sup>/C
D) It cannot be determined without knowing the radius of the sphere.
Q2) Charge is distributed uniformly throughout a large insulating cylinder of radius R.The charge per unit length in the cylindrical volume is .
(a)Use Gauss's law to find the magnitude of the electric field at a distance r from the central axis of the cylinder for r < R.Your answer should be in terms of r,R, , <sub>0 </sub>,and .
(b)Check the reasonableness of your answer by evaluating it at the surface of the cylinder.
Q3) If the electric flux through a closed surface is zero,the electric field at points on that surface must be zero.
A)True
B)False
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Chapter 25: Work and Energy in Electrostatics
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Sample Questions
Q1) If the electric potential at a point in space is zero,then the electric field at that point must also be zero.
A)True
B)False
Q2) A -3.0- C point charge and a -9.0- C point charge are initially extremely far apart.How much work does it take to bring the -3.0- C charge to x = 3.0 mm,y = 0.00 mm and the -9.0- C charge to x = -3.0 mm,y = 0.00 mm? (k = 1/4 <sub>0</sub> = 8.99 × 10<sup>9</sup> N m<sup>2</sup>/C<sup>2</sup>)
A) 40 J
B) 81 J
C) 27 J
D) 6.8 J
Q3) Four equal +6.00- C point charges are placed at the corners of a square 2.00 m on each side.
(k = 1/4 <sub>0</sub> = 8.99 × 10<sup>9</sup> N m<sup>2</sup>/C<sup>2</sup>)
(a)What is the electric potential (relative to infinity)due to these charges at the center of this square?
(b)What is the magnitude of the electric field due to these charges at the center of the square?
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Page 28

Chapter 26: Charge Separation and Storage
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Q1) A parallel-plate capacitor with plate separation of 1.0 cm has square plates,each with an area of 6)0 × 10<sup>-2</sup> m<sup>2</sup>.What is the capacitance of this capacitor if a dielectric material with a dielectric constant of 2.4 is placed between the plates,completely filling them? ( <sub>0</sub> = 8.85 × 10<sup>-12</sup> C<sup>2</sup>/N m<sup>2</sup>)
A) 15 × 10<sup>-12</sup> F
B) 15 × 10<sup>-14</sup> F
C) 64 × 10<sup>-14</sup> F
D) 1.3 × 10<sup>-12</sup> F
E) 1.3 × 10<sup>-10</sup> F
Q2) An air-filled capacitor stores a potential energy of 6.00 mJ due to its charge.It is accidentally filled with water in such a way as not to discharge its plates.How much energy does it continue to store after it is filled? (The dielectric constant for water is 78 and for air it is 1.0006.)
A) 0.077 mJ
B) 468 mJ
C) 0.040 mJ
D) 6.00 mJ
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Chapter 27: Magnetic Interactions
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Q1) A vertical wire carries a current vertically upward in a region where the magnetic field vector points toward the north.What is the direction of the magnetic force on this current due to the field?
A) downward B) toward the north C) toward the south D) toward the east
E) toward the west
Q2) A thin copper rod that is 1.0 m long and has a mass of 0.050 kg is in a magnetic field of 0.10 T. What minimum current in the rod is needed in order for the magnetic force to cancel the weight of the rod?
A) 1.2 A
B) 2.5 A
C) 4.9 A
D) 7.6 A
E) 9.8 A
Q3) A wire along the z-axis carries a current of 6.8 A in the +z direction.Find the magnitude and direction of the force exerted on a 6.1-cm long length of the wire by a uniform magnetic field with magnitude 0.36 T in the -x direction.
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Page 30

Chapter 28: Magnetic Fields of Charged Particles in Motion
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Sample Questions
Q1) Two long parallel wires carry currents of 20 A and 5.0 A in opposite directions. The wires are separated by 0.20 m. What is the magnitude of the magnetic field midway between the two wires?
( <sub>0</sub> = 4 × 10<sup>-7</sup> T m/A)
A) 1.0 × 10<sup>-5</sup> T
B) 2.0 × 10<sup>-5</sup> T
C) 3.0 × 10<sup>-5</sup> T
D) 4.0 × 10<sup>-5</sup> T
E) 5.0 × 10<sup>-5</sup> T
Q2) The magnetic field at a distance of 2 cm from a current carrying wire is 4 T.What is the magnetic field at a distance of 4 cm from the wire?
A) 1/2 µT
B) 1 µT
C) 2 µT
D) 4 µT
E) 8 µT
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Chapter 29: Changing Magnetic Fields
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Q1) A circular loop of radius 0.10 m is rotating in a uniform external magnetic field of 0.20 T. Find the magnetic flux through the loop due to the external field when the plane of the loop and the magnetic field vector are (a)parallel.
(b)perpendicular.
(c)at an angle of 30° with each other.
Q2) A closed loop conductor that forms a circle with a radius of 2.0 m is located in a uniform but changing magnetic field.If the maximum emf induced in the loop is 5.0 V,what is the maximum rate at which the magnetic field strength is changing if the magnetic field is oriented perpendicular to the plane in which the loop lies?
A) 0.40 T/s
B) 2.5 T/s
C) 0.080 T/s
D) 5.0 T/s
Q3) A large magnetic flux change through a coil must induce a greater emf in the coil than a small flux change.
A)True
B)False
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32
Chapter 30: Changing Electric Fields
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Q1) If the z-component of the magnetic field of an electromagnetic wave traveling in the +x direction through vacuum obeys the equation B<sub>z</sub>(x,t)= (1.25 T)cos[(3800 m<sup>-1</sup>)x - (1.14 × 10-<sup>12</sup> rad/s)t],what is the largest that the y component of the electric field can be? (c = 3.0 × 10<sup>8</sup> m/s)
A) 375 N/C
B) 4.17 × 10<sup>-15</sup> N/C
C) 3.75 × 10<sup>8</sup> N/C
D) 4.17 × 10<sup>-9</sup> N/C
E) 1.25 × 10<sup>6</sup> N/C
Q2) If the intensity of an electromagnetic wave is 80 MW/m<sup>2</sup>,what is the amplitude of the magnetic field of this wave? (c = 3.0 × 10<sup>8</sup> m/s, <sub>0</sub> = 4 × 10<sup>-7</sup> T m/A, <sub>0</sub> = 8.85 × 10<sup>-12</sup> C<sup>2</sup>/N m<sup>2</sup>)
A) 0.82 mT
B) 0.33 µT
C) 10 T
D) 14 T
E) 0.58 mT
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Page 33

Chapter 31: Electric Circuits
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Q1) Three resistors having resistances of 4.0 ,6.0 ,and 10.0 are connected in parallel. If the combination is connected in series with an ideal 12-V battery and a 2.0- resistor,what is the current through the 10.0- resistor?
A) 0.59 A
B) 2.7 A
C) 6.4 A
D) 11.2 A
E) 16 A
Q2) A gold wire that is 1.8 mm in diameter and 15 cm long carries a current of 260 mA.How many electrons per second pass a given cross section of the wire? (e = 1.60 × 10<sup>-19</sup>C)
A) 1.6 × 10<sup>18</sup>
B) 1.6 × 10<sup>17</sup>
C) 1.5 × 10<sup>23</sup>
D) 3.7 × 10<sup>15</sup>
Q3) Two unknown resistors are connected together.When they are connected in series their equivalent resistance is 15 .When they are connected in parallel,their equivalent resistance is 3.3 .What are the resistances of these resistors?
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Chapter 32: Electronics
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Q1) A 120-V rms voltage at 60.0 Hz is applied across an inductor,a capacitor,and a resistor in series.If the peak current in this circuit is 0.8484 A,what is the impedance of this circuit?
A) 200
B) 141
C) 20.4
D) 120
E) 100
Q2) A series LRC ac circuit has a peak voltage of 111 V and a peak current of 2.00 A. If the current lags the voltage by 35.0°,what is the average power of the circuit?
A) 91 W
B) 182 W
C) 78 W
D) 156 W
Q3) A series LRC circuit consists of a 5.00-pF capacitor,a 7.25-mH inductor,a 75.0resistor,and a 50.0-V ac power source of variable frequency.At what frequency will the impedance of this circuit be equal to 75.0 ?
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Chapter 33: Ray Optics
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Q1) The critical angle in air for a particular type of glass is 39.0°.What is the speed of light in this class glass? (c = 3.00 × 10<sup>8</sup> m/s)
A) 1.97 × 10<sup>8</sup> m/s
B) 1.94 × 10<sup>8</sup> m/s
C) 1.91 × 10<sup>8</sup> m/s
D) 1.89 × 10<sup>8</sup> m/s
E) 2.00 × 10<sup>8</sup> m/s
Q2) 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?
A) 30°
B) 21°
C) 24°
D) 27°
Q3) You have available lenses of focal lengths 2.0 cm,4.0 cm,8.0 cm,and 16.0 cm.
(a)If you were to use any two of these lenses to build a telescope,what is the maximum magnification you could achieve?
(b)If you were to use any two of these lenses to build a telescope,what is the lens separation for the maximum magnification telescope?
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Chapter 34: Wave and Particle Optics
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Sample Questions
Q1) Light of frequency 6.00 × 10<sup>14</sup> Hz illuminates a soap film (n = 1.33)having air on both sides of it. When viewing the film by reflected light,what is the minimum thickness of the film that will give an interference maximum when the light is incident normally on it? (c = 3.00 × 10<sup>8</sup> m/s)
A) 24.0 nm
B) 94.0 nm
C) 188 nm
D) 279 nm
E) 376 nm
Q2) Light of wavelength 519 nm passes through two slits.In the interference pattern on a screen 4.6 m away,adjacent bright fringes are separated by 5.2 mm in the general vicinity of the center of the pattern.What is the separation of the two slits?
Q3) What is the angular separation of the two second-order spectral lines having wavelengths 417 nm and 388 nm using a diffraction grating having 456 lines/mm?
A) 1.63°
B) 1.52°
C) 0.815°
D) 3.26°
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