

Classical Mechanics
Test Bank
Course Introduction
Classical Mechanics is a foundational course in physics that explores the motion of bodies under the influence of forces, using the principles developed by Newton, Lagrange, and Hamilton. The course covers key topics such as kinematics, Newton's laws of motion, conservation of energy and momentum, oscillatory motion, central force problems, rigid body dynamics, and non-inertial reference frames. Emphasis is placed on developing problem-solving skills and applying analytic methods to physical systems, laying the groundwork for advanced studies in physics and engineering.
Recommended Textbook Physics for Scientists and Engineers Technology Update 9th Edition Raymond A. Serway
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Page 2
Chapter 1: Physics and Measurement
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Sample Questions
Q1) If you drove day and night without stopping for one year without exceeding the legal highway speed limit in the United States,the maximum number of miles you could drive would be closest to:
A)8700.
B)300000.
C)500000.
D)1000000.
E)32000000.

Answer: C
Q2) If each frame of a motion picture film is 35 cm high,and 24 frames go by in a second,estimate how many frames are needed to show a two hour long movie.
A)1400
B)25000
C)50000
D)170000
E)This cannot be determined without knowing how many reels were used.
Answer: D
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Chapter 2: Motion in One Dimension
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Sample Questions
Q1) The velocity of a particle moving along the x axis is given for t > 0 by v<sub>x</sub> = (32.0t 2.00t<sup>3</sup>)m/s,where t is in s.What is the acceleration of the particle when (after t = 0)it achieves its maximum displacement in the positive x direction?
A) 64.0 m/s<sup>2</sup>
B)zero
C)128 m/s<sup>2</sup>
D)32.0 m/s<sup>2</sup>
E) 32.0 m/s<sup>2</sup>
Answer: A
Q2) A boat moves at 10.0 m/s relative to the water.If the boat is in a river where the current is 2.0 m/s,how long does it take the boat to make a complete round trip of 1.00 km upstream followed by a 1.00 km trip downstream?
Answer: 208 s
Q3) A helicopter descends from a height of 600 m with uniform negative acceleration,reaching the ground at rest in 5.00 minutes.Determine the acceleration of the helicopter and its initial velocity.
Answer: 0.013 3 m/s<sup>2</sup>, 4.0 m/s
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4
Chapter 3: Vectors
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Sample Questions
Q1) In what quadrant are both the sine and tangent negative?
A)1st
B)2nd
C)3rd
D)4th
E)This cannot happen.
Answer: D
Q2) Refer to Exhibit 3-4.The total displacement of the sailboat,the vector sum of its displacements OB,BC,CD and DE,is
A)1732 m,East.
B)2000 m,Northeast.
C)6298 m,East.
D)8000 m,Southeast.
E)8000 m,East.
Answer: C
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Page 5

Chapter 4: Motion in Two Dimensions
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Sample Questions
Q1) A car travels in a flat circle of radius R.At a certain instant the velocity of the car is 20 m/s north,and the total acceleration of the car is 2.5 m/s<sup>2</sup> 37° south of west.Which of the following is correct?
A)R = 0.40 km,and the car's speed is decreasing.
B)R = 0.20 km,and the car's speed is decreasing.
C)R = 0.20 km,and the car's speed is increasing.
D)R = 0.16 km,and the car's speed is increasing.
E)R = 0.16 km,and the car's speed is decreasing.
Q2) The initial speed of a cannon ball is 0.20 km/s.If the ball is to strike a target that is at a horizontal distance of 3.0 km from the cannon,what is the minimum time of flight for the ball?
A)16 s
B)21 s
C)24 s
D)14 s
E)19 s
Q3) Wiley Coyote has missed the elusive roadrunner once again.This time,he leaves the edge of the cliff at 50.0 m/s horizontal velocity.If the canyon is 100 m deep,how far from the edge of the cliff does the coyote land?
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Page 6

Chapter 5: The Laws of Motion
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Sample Questions
Q1) The vector sum of three co-planar forces
A)must be zero.
B)must be perpendicular to one of the three.
C)must be parallel to one of the three.
D)must be perpendicular to the plane.
E)may have any direction in the plane.
Q2) In order to jump off the floor,the floor must exert a force on you
A)in the direction of and equal to your weight.
B)opposite to and equal to your weight.
C)in the direction of and less than your weight.
D)opposite to and less than your weight.
E)opposite to and greater than your weight.
Q3) The tension in a string from which a 4.0-kg object is suspended in an elevator is equal to 44 N.What is the acceleration of the elevator?
A)11 m/s<sup>2</sup> upward
B)1.2 m/s<sup>2</sup> upward
C)1.2 m/s<sup>2</sup> downward
D)10 m/s<sup>2</sup> upward
E)2.4 m/s<sup>2</sup> downward
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Page 7

Chapter 6: Circular Motion and Other Applications of
Newtons Laws
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Sample Questions
Q1) A 0.20-kg object attached to the end of a string swings in a vertical circle (radius = 80 cm).At the top of the circle the speed of the object is 4.5 m/s.What is the magnitude of the tension in the string at this position?
A)7.0 N
B)2.0 N
C)3.1 N
D)5.1 N
E)6.6 N
Q2) A space station in the form of a large wheel,120 m in diameter,rotates to provide an "artificial gravity" of 3.00 m/s<sup>2</sup> for persons located at the outer rim.Find the rotational frequency of the wheel (in revolutions per minute)that will produce this effect.
Q3) A sample of blood is placed into a centrifuge of radius 15.0 cm.The mass of a red corpuscle is 3.0 × 10 <sup>16</sup> kg,and the centripetal force required to make it settle out of the plasma is 4.0 × 10 <sup>11</sup> N.At how many revolutions per second should the centrifuge be operated?
Q4) An airplane pilot experiences weightlessness as she passes over the top of a loop-the-loop maneuver.If her speed is 200 m/s at the time,find the radius of the loop.
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Chapter 7: Energy of a System
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Sample Questions
Q1) A 20-kg block on a horizontal surface is attached to a light spring (force constant = 8.0 kN/m).The block is pulled 10 cm to the right from its equilibrium position and released from rest.When the block has moved 2.0 cm toward its equilibrium position,its kinetic energy is 13 J.How much work is done by the frictional force on the block as it moves the 2.0 cm?
A) 2.5 J
B) 1.4 J
C) 3.0 J
D) 1.9 J
E) 14 J
Q2) A 10-kg block on a rough horizontal surface is attached to a light spring (force constant = 1.4 kN/m).The block is pulled 8.0 cm to the right from its equilibrium position and released from rest.The frictional force between the block and surface has a magnitude of 30 N.What is the kinetic energy of the block as it passes through its equilibrium position?
A)4.5 J
B)2.1 J
C)6.9 J
D)6.6 J
E)4.9 J
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Page 9

Chapter 8: Conservation of Energy
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Sample Questions
Q1) A rain cloud contains 2.66 × 10<sup>7</sup> kg of water vapor.How long would it take for a 2.0 kW pump to lift the same amount of water to an altitude of 2 000 m?
Q2) A surprising demonstration involves dropping an egg from a third-floor window to land on a foam-rubber pad 2 in (5 cm)thick without breaking.If a 56-gram egg falls 12 m,and the foam pad stops the egg in 6.25 ms,by how much is the pad compressed?
Q3) Which of the following is a conservative force? (All refer to a car on a slope. )
A)The force you exert on the car pushing it uphill.
B)The force exerted by rain drops falling on the car.
C)The frictional force of the road on the car.
D)The gravitational force acting on the car.
E)The force you exert on the car (pushing it uphill)after it starts to slide downhill.
Q4) A simple pendulum,2.0 m in length,is released from rest when the support string is at an angle of 25° from the vertical.What is the speed of the suspended mass at the bottom of the swing?
Q5) A 70-kg high jumper leaves the ground with a vertical velocity of 6.0 m/s.How high can he jump?
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Chapter 9: Linear Momentum and Collisions
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Sample Questions
Q1) An 8.0-kg object moving 4.0 m/s in the positive x direction has a one-dimensional collision with a 2.0-kg object moving 3.0 m/s in the opposite direction.The final velocity of the 8.0-kg object is 2.0 m/s in the positive x direction.What is the total kinetic energy of the two-mass system after the collision?
A)32 J
B)52 J
C)41 J
D)25 J
E)29 J
Q2) A rocket with an initial mass of 1000 kg adjusts its thrust by varying the rate at which mass is ejected.The ejection speed relative to the rocket is 40 km/s.If the acceleration of the rocket is to have a magnitude of 20 m/s<sup>2</sup> at an instant when its mass is 80% of the original mass,at what rate is mass being ejected at that instant? Ignore any external forces on the rocket.
A)0.40 kg/s
B)0.50 kg/s
C)0.60 kg/s
D)0.70 kg/s
E)0.80 kg/s
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11

Chapter 10: Rotation of a Rigid Object About a Fixed Axis
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Sample Questions
Q1) A wheel starts from rest and rotates with a constant angular acceleration about a fixed axis.It completes the first revolution 6.0 s after it started.How long after it started will the wheel complete the second revolution?
A)9.9 s
B)7.8 s
C)8.5 s
D)9.2 s
E)6.4 s
Q2) The turntable of a record player has an angular velocity of 8.0 rad/s when it is turned off.The turntable comes to rest 2.5 s after being turned off.Through how many radians does the turntable rotate after being turned off? Assume constant angular acceleration.
A)12 rad
B)8.0 rad
C)10 rad
D)16 rad
E)6.8 rad
Q3) The net work done in accelerating a propeller from rest to an angular velocity of 200 rad/s is 3 000 J.What is the moment of inertia of the propeller?
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Chapter 11: Angular Momentum
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Sample Questions
Q1) If L represents angular momentum,I represents moment of inertia,p represents linear momentum,m represents mass,and r represents a distance,which of the following can represent kinetic energy?
A)p<sup>2</sup>/2m
B)L<sup>2</sup>/2I
C)rpI
D)all of the above E)both (a)and (b)
Q2) A solid cylinder of radius R = 1.0 m and mass 10 kg rotates about its axis.When its angular velocity is 10 rad/s,its angular momentum (in kg m<sup>2</sup>/s)is A)50.
B)20.
C)40.
D)25.
E)70.
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Chapter 12: Static Equilibrium and Elasticity
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Sample Questions
Q1) A horizontal uniform meter stick supported at the 50-cm mark has a mass of 0.50 kg hanging from it at the 20-cm mark and a 0.30 kg mass hanging from it at the 60-cm mark.Determine the position on the meter stick at which one would hang a third mass of 0.60 kg to keep the meter stick balanced.
A)74 cm
B)70 cm
C)65 cm
D)86 cm
E)62 cm
Q2) A 20-m long steel wire (cross-section 1.0 cm<sup>2</sup>,Young's modulus 2.0 × 10<sup>11</sup> N/m<sup>2</sup>),is subjected to a load of 25 000 N.How much will the wire stretch under the load?
A)0.25 cm
B)2.5 cm
C)12.5 cm
D)25 cm
E)1.25 cm
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Chapter 13: Universal Gravitation
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Sample Questions
Q1) Isaac Newton was able to estimate a value for G,the universal gravitational constant,from the following data: the radius of the Earth is about 6 400 km,the average density of rocks is about 5.50 g/cm<sup>3</sup>,and g = 9.80 m/s<sup>2</sup> near the surface of the Earth.What value did Newton obtain for G?
Q2) When two solid spheres of the same material and same radius r are in contact,the magnitude of the gravitational force each exerts on the other is directly proportional to A)r.
B)r<sup>2</sup>.
C)r<sup>3</sup>.
D)r<sup>4</sup>.
E)r<sup>6</sup>.
Q3) A satellite is in a circular orbit about the Earth at an altitude at which air resistance is negligible.Which of the following statements is true?
A)There is only one force acting on the satellite.
B)There are two forces acting on the satellite,and their resultant is zero.
C)There are two forces acting on the satellite,and their resultant is not zero.
D)There are three forces acting on the satellite.
E)None of the preceding statements are correct.
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Chapter 14: Fluid Mechanics
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Sample Questions
Q1) An empty spice bottle has an inner volume of 1.31 × 10 <sup>4</sup> m<sup>3</sup>.It has a mass of 112 g when filled with air,and it displaces 1.63 × 10 <sup>4</sup> m<sup>3</sup> of water when fully submerged.What fraction of the total volume of the bottle will be beneath the surface when it is placed in a tank of water?
A)0.69
B)0.81
C)0.85
D)1.00
E)1.46
Q2) A Boeing 737 airliner has a mass of 20 000 kg and the total area of both wings (top or bottom)is 100 m<sup>2</sup>.What is the pressure difference between the top and bottom surface of each wing when the airplane is in flight at a constant altitude?
A)1 960 N/m<sup>2</sup>
B)3 920 N/m<sup>2</sup>
C)7 840 N/m<sup>2</sup>
D)4 560 N/m<sup>2</sup>
E)3 070 N/m<sup>2</sup>
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Page 16
Chapter 15: Oscillatory Motion
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Sample Questions
Q1) A 2.00 m-long 6.00 kg ladder pivoted at the top hangs down from a platform at the circus.A 42.0 kg trapeze artist climbs to a point where her center of mass is at the center of the ladder and swings at the system's natural frequency.The angular frequency (in s <sup>1</sup>)of the system of ladder and woman is
A)1.01.
B)3.07.
C)4.03.
D)8.05.
E)16.2.
Q2) In an inertia balance,a body supported against gravity executes simple harmonic oscillations in a horizontal plane under the action of a set of springs.If a 1.00 kg body vibrates at 1.00 Hz,a 2.00 kg body will vibrate at
A)0.500 Hz.
B)0.707 Hz.
C)1.00 Hz.
D)1.41 Hz.
E)2.00 Hz.
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Page 17

Chapter 16: Wave Motion
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Sample Questions
Q1) The wavelength of light visible to the human eye is on the order of 5 × 10 <sup>7</sup> m.If the speed of light in air is 3 × 10<sup>8</sup> m/s,find the frequency of the lightwave.
A)3 × 10<sup>7</sup> Hz
B)4 × 10<sup>9</sup> Hz
C)5 × 10<sup>11</sup> Hz
D)6 × 10<sup>14</sup> Hz
E)4 × 10<sup>15</sup> Hz
Q2) Bats can detect small objects such as insects that are of a size on the order of a wavelength.If bats emit a chirp at a frequency of 60 kHz and the speed of soundwaves in air is 330 m/s,what is the smallest size insect they can detect?
A)1.5 mm
B)3.5 mm
C)5.5 mm
D)7.5 mm
E)9.8 mm
Q3) If the breakers at a beach are separated by 5.0 m and hit shore with a frequency of 0.20 Hz,with what speed are they traveling?
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18

Chapter 17: Sound Waves
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Sample Questions
Q1) Which of the following does not have a precise definition in terms of the physical properties of sound waves?
A)frequency
B)intensity
C)loudness
D)sound level
E)wavelength
Q2) An airplane traveling at half the speed of sound emits sound at a frequency of 5 000 Hz.At what frequency does a stationary listener hear the sound as the plane approaches,and after it passes by? Assume the airplane is not flying very high.
Q3) The Young's modulus for aluminum is 7.02 × 10<sup>10</sup> N/m<sup>2</sup>.If the speed of sound in aluminum is measured to be 5.10 km/s,find its density (in kg/m<sup>3</sup>).
A)11.3 × 10<sup>3</sup>
B)7.80 × 10<sup>3</sup>
C)2.70 × 10<sup>3</sup>
D)29.3 × 10<sup>3</sup>
E)1.40 × 10<sup>3</sup>
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Page 19

Chapter 18: Superposition and Standing Waves
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Sample Questions
Q1) A fire engine approaches a wall at 5 m/s while the siren emits a tone of 500 Hz frequency.At the time,the speed of sound in air is 340 m/s.How many beats per second do the people on the fire engine hear?
A)0
B)15
C)29
D)63
E)250
Q2) Tuning forks #1,#2,and #3 each have slightly different frequencies.When #1 and #2 are sounded together,a beat frequency of 3 Hz results.When #2 and #3 are sounded together,a beat frequency of 5 Hz results.If the frequency of #1 is 100 Hz,which of the following cannot be the frequency of #3?
A)92 Hz
B)95 Hz
C)98 Hz
D)102 Hz
E)108 Hz
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Chapter 19: Temperature
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Sample Questions
Q1) What is the change in area (in cm<sup>2</sup>)of a 60.0 cm by 150 cm automobile windshield when the temperature changes from 0° C to 36.0° C.The coefficient of linear expansion of this glass is 9.0 × 10 <sup>6</sup>/°C.
A)1.6
B)2.9
C)3.2 D)4.9
E)5.8
Q2) One mole of an ideal gas is held at a constant volume of 1 liter.Find the change in pressure if the temperature increases by 50°C.
A)3 atm
B)4 atm
C)2 atm
D)1 atm
E)5 atm
Q3) A gold ring has an inner diameter of 2.168 cm at a temperature of 15.0°C.Determine its diameter at 100.0°C.( <sub>GOLD</sub> = 1.42 × 10 <sup>5</sup>/°C)
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21
Chapter 20: The First Law of Thermodynamics
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Q1) In a thermodynamic process,the internal energy of a system in a container with adiabatic walls decreases by 800 J.Which statement is correct?
A)The system lost 800 J by heat transfer to its surroundings.
B)The system gained 800 J by heat transfer from its surroundings.
C)The system performed 800 J of work on its surroundings.
D)The surroundings performed 800 J of work on the system.
E)The 800 J of work done by the system was equal to the 800 J of heat transferred to the system from its surroundings.
Q2) If a person in Alaska were locked out of his house on a day when the temperature outside was 40°C,his thick clothing would mostly reduce the loss of thermal energy by A)conduction.
B)convection.
C)radiation.
D)all of the above.
E)convection and radiation.
Q3) How much water at 20°C is needed to melt 1 kilogram of solid mercury at its melting point of 39°C? (The heat of fusion of mercury is 2.8 cal/gram).
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Page 22
Chapter 21: The Kinetic Theory of Gases
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Sample Questions
Q1) The average kinetic energy of a nitrogen molecule at room temperature (20°C)is
A)2 × 10 <sup>21</sup> J.
B)4 × 10 <sup>21</sup> J.
C)6 × 10 <sup>21</sup> J.
D)8 × 10 <sup>21</sup> J.
E)1 × 10 <sup>20</sup> J.
Q2) An ideal gas is allowed to expand adiabatically until its volume increases by 50%.By approximately what factor is the pressure reduced? ( = 5/3. )
A)1.5
B)2.0
C)2.5
D)3.0
E)3.5
Q3) A 50-gram sample of dry ice (solid CO<sub>2</sub>)is placed in a 4-liter container.The system is sealed and allowed to reach room temperature (20°C).By approximately how much does the pressure inside the container increase when the dry ice turns to gas? (Ignore the initial volume of the sample. )
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Page 23

Chapter 22: Heat Engines, entropy, and the Second Law of Thermodynamics
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Q1) When water of mass m and specific heat c is heated from absolute temperature T<sub>1</sub> to absolute temperature T<sub>2</sub>,its change in entropy is A)cm ln(T<sub>2</sub>/T<sub>1</sub>)
B)cm (T<sub>2</sub>/T<sub>1</sub>)
C)cm (T<sub>2</sub> T<sub>1</sub>)/T<sub>1</sub>
D)cm (T<sub>2</sub> T<sub>1</sub>)/T<sub>2</sub>
E)cm (T<sub>2</sub> T<sub>1</sub>)/(T<sub>2</sub> + T<sub>1</sub>)
Q2) A Carnot cycle,operating as a heat engine,consists,in the order given,of
A)an isothermal expansion,an isothermal compression,an adiabatic expansion and an adiabatic compression.
B)an adiabatic expansion,an adiabatic compression,an isothermal expansion and an isothermal compression.
C)an isothermal expansion,an adiabatic compression,an isothermal compression and an adiabatic expansion.
D)an adiabatic compression,an isothermal compression,an isothermal expansion and an adiabatic expansion.
E)an isothermal expansion,an adiabatic expansion,an isothermal compression and an adiabatic compression.
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Chapter 23: Electric Fields
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Sample Questions
Q1) Two uniform rods,each of length 2.0 m,are bent to form semicircles.One rod has a charger per unit lent of 1.5 nC/m,and the other has a charge per unit length of -1.5 nC/m.The semicircles are joined to make a circle.What is the magnitude of the electric field at the center of the circle?
A)42 N/C
B)84 N/C
C)34 N/C
D)68 N/C
E)0
Q2) Three identical point charges Q are placed at the vertices of an equilateral triangle (length of each side = 2.0 m).If Q = 60 C,what is the magnitude of the electrostatic force on any one of the charges?
A)25 N
B)19 N
C)14 N
D)22 N
E)16 N
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25

Chapter 24: Gausss Law
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Sample Questions
Q1) Charge of a uniform density (8.0 nC/m<sup>2</sup>)is distributed over the entire xy plane.A charge of uniform density (5.0 nC/m<sup>2</sup>)is distributed over the parallel plane defined by z = 2.0 m.Determine the magnitude of the electric field for any point with z = 1.0 m.
A)0.45 kN/C
B)0.17 kN/C
C)0.28 kN/C
D)0.73 kN/C
E)0.62 kN/C
Q2) The nucleus of a hydrogen atom,a proton,sets up an electric field.The distance between the proton and electron is about 5.1 × 10 <sup>11</sup> m.What is the magnitude of the electric field at this distance from the proton? [The charge on the proton is +1.6 × 10 <sup>1</sup><sup>9</sup> C.]
Q3) A Geiger counter is like an electroscope that discharges whenever ions formed by a radioactive particle produce a conducting path.A typical Geiger counter consists of a thin conducting wire of radius 0.002 cm stretched along the axis of a conducting cylinder of radius 2.0 cm.The wire and the cylinder carry equal and opposites charges of 8.0 × 10 <sup>10</sup> C all along their length of 10.0 cm.What is the magnitude of the electric field at the surface of the wire?
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Page 26

Chapter 25: Electric Potential
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Q1) Three charged particles are positioned in the xy plane: a 50-nC charge at y = 6 m on the y axis,a 80-nC charge at x = 4 m on the x axis,and a 70-nc charge at y = 6 m on the y axis.What is the electric potential (relative to a zero at infinity)at the point x = 8 m on the x axis?
A)+81 V
B)+48 V
C)+5.8 V
D) 72 V
E) 18 V
Q2) Two flat conductors are placed with their inner faces separated by 6.0 mm.If the surface charge density on one of the inner faces is 40 pC/m<sup>2</sup>,what is the magnitude of the electric potential differences between the two conductors?
A)36 mV
B)18 mV
C)32 mV
D)27 mV
E)14 mV
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Chapter 26: Capacitance and Dielectrics
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Q1) A 200-volt battery is connected to a 0.50-microfarad parallel-plate,air-filled capacitor.Now the battery is disconnected,with care taken not to discharge the plates.Some Pyrex glass is then inserted between the plates,completely filling up the space.What is the final potential difference between the plates? (The dielectric constant for Pyrex is = 5.6. )
Q2) Which of the following materials has the highest dielectric constant?
A)air
B)Mylar
C)paper
D)Pyrex glass
E)water
Q3) Is it feasible to construct an air-filled parallel-plate capacitor that has its two plates separated by 0.10 mm and has a capacitance of 1.0 F? Why or why not?
Q4) An electron is released from rest at the negative plate of a parallel plate capacitor.If the distance between the plates is 5 mm and the potential difference across the plates is 5 V,with what velocity does the electron hit the positive plate? (m<sub>e</sub> = 9.1 × 10 <sup>31</sup> kg,q<sub>e</sub> = 1.6 × 10 <sup>19</sup> C. )
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28

Chapter 27: Current and Resistance
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Q1) A high-voltage transmission line carries 1 000 A at 700 kV for a distance of 100 miles.If the resistance per length in the wire is 0.5 /mile,what is the power loss due to resistive losses?
Q2) Most telephone cables are made of copper wire of either 24 or 26 gauge.If the resistance of 24-gauge wire is 137 /mile and the resistance of 26-gauge wire is 220 /mile,what is the ratio of the diameter of 24-gauge wire to that of 26-gauge wire?
A)1.6
B)1.3
C)0.62
D)0.79
E)0.88
Q3) What maximum power can be generated from an 18-V emf using any combination of a 6.0- resistor and a 9.0- resistor?
A)54 W
B)71 W
C)90 W
D)80 W
E)22 W
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Chapter 28: Direct-Current Circuits
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Q1) A certain brand of hot dog cooker applies a potential difference (120 V)to opposite ends of the hot dog and cooks by means of the joule heat produced.If 60 kJ is needed to cook each hot dog,what current is needed to cook four hot dogs simultaneously in 3.0 min?
A)11 A
B)2.8 A
C)8.3 A
D)2.1 A
E)3.6 A
Q2) If 480 C pass through a 4.0- resistor in 10 min,what is the potential difference across the resistor?
A)3.6 V
B)2.8 V
C)2.4 V
D)3.2 V
E)5.0 V
Q3) An initially uncharged 10- F capacitor is charged by a 10-V battery through a resistance R.The capacitor reaches a potential difference of 4 V in a period of 3 s after the charging began.Find the value of R.
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Page 30
Chapter 29: Magnetic Fields
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Q1) An unusual lightning strike has a vertical portion with a positive current of +400 A upwards.The Earth's magnetic field at that location is parallel to the ground and has a magnitude of 30 T.In N,the force exerted by the Earth's magnetic field on the 25 m-long current is
A)0.
B)0.012 N,East.
C)0.012 N,West.
D)0.30 N,West.
E)300 N,East.
Q2) Two single charged ions moving perpendicularly to a uniform magnetic field (B = 0.40 T)with speeds of 5 000 km/s follow circular paths that differ in diameter by 5.0 cm.What is the difference in the mass of these two ions?
A)2.6 × 10 <sup>28</sup> kg
B)6.4 × 10 <sup>28</sup> kg
C)3.2 × 10 <sup>28</sup> kg
D)5.1 × 10 <sup>28</sup> kg
E)1.1 × 10 <sup>28</sup> kg
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Page 31

Chapter 30: Sources of the Magnetic Field
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Q1) Two long parallel wires carry unequal currents in the same direction.The ratio of the currents is 3 to 1.The magnitude of the magnetic field at a point in the plane of the wires and 10 cm from each wire is 4.0 T.What is the larger of the two currents?
A)5.3 A
B)3.8 A
C)4.5 A
D)3.0 A
E)0.5 A
Q2) A long solenoid (1500 turns/m)carries a current of 20 mA and has an inside diameter of 4.0 cm.A long wire carries a current of 2.0 A along the axis of the solenoid.What is the magnitude of the magnetic field at a point that is inside the solenoid and 1.0 cm from the wire?
A)78 T
B)55 T
C)48 T
D)68 T
E)2.0 T
Q3) The field at (1.0 m,0,0)is zero.
Q4) The magnetic field at (+1 m,0,0)is in the positive y direction.
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Chapter 31: Faradays Law
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Q1) A rectangular loop (area = 0.15 m<sup>2</sup>)turns in a uniform magnetic field with B = 0.20 T.At an instant when the angle between the magnetic field and the normal to the plane of the loop is ( /2)rad and increasing at the rate of 0.60 rad/s,what is the magnitude of the emf induced in the loop?
A)24 mV
B)zero
C)18 mV
D)20 mV
E)6.0 mV
Q2) A rectangular wire loop (length = 60 cm,width = 40 cm)lies completely within a perpendicular and uniform magnetic field of magnitude of 0.5 T.If the length of the loop starts increasing at a rate of 20 mm/s at time t = 0,while the width is decreasing at the same rate,what is the magnitude of the induced emf at time t = 4.0 s?
A)6.8 mV
B)5.2 mV
C)3.6 mV
D)8.4 mV
E)10 mV
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Page 33

Chapter 32: Inductance
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Q1) An inductor produces a back emf in a DC series RL circuit when a switch connecting the battery to the circuit is closed.We can explain this by A)Lenz's law.
B)increasing magnetic flux within the coils of the inductor.
C)increasing current in the coils of the inductor.
D)all of the above.
E)only (a)and (c)above.
Q2) When a switch is closed to complete a DC series RL circuit,
A)the electric field in the wires increases to a maximum value.
B)the magnetic field outside the wires increases to a maximum value.
C)the rate of change of the electric and magnetic fields is greatest at the instant when the switch is closed.
D)all of the above are true.
E)only (a)and (c)above are true.
Q3) If we wished to construct a "tank circuit" where electric charge originally stored on a capacitor flows through an inductor,then back again,what value of inductance should we place in series with a fully-charged 100 F capacitor to get the circuit to resonate at 60.0 Hz?
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Chapter 33: Alternating-Current Circuits
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Q1) An RLC series circuit has R = 100 ohms,C = 25 F,and L = 0.16 H.For what angular frequency of an ac voltage is the current flow maximum?
A)251 rad/s
B)500 rad/s
C)757 rad/s
D)884 rad/s
E)79.6 rad/s
Q2) A step-up transformer has an input voltage of 110 V (rms).There are 100 turns on the primary and 1500 on the secondary.What is the output voltage?
A)1 600 V (max)
B)1 650 V (rms)
C)3 260 V (max)
D)165 kV (rms)
E)7.3 V (rms)
Q3) An ac power generator produces 50 A (rms)at 3600 V.The voltage is stepped up to 100000 V by an ideal transformer and the energy is transmitted through a long distance power line which has a resistance of 100 ohms.What percentage of the power delivered by the generator is dissipated as heat in the long-distance power line?
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Chapter 34: Electromagnetic Waves
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Q1) Find the force exerted by reflecting sunlight off a reflecting aluminum sheet in space if the area normal to the sunlight is 10000 m<sup>2</sup> and the solar intensity is 1350 W/m<sup>2</sup>.
A)0.72 N
B)0.09 N
C)9 N
D)45 N
E)0.18 N
Q2) The Earth is 1.49 × 10<sup>11</sup> meters from the sun.If the solar radiation at the top of the Earth's atmosphere is 1340 W/m<sup>2</sup>,what is the total power output of the sun?
A)7.10 × 10<sup>27</sup> W
B)2.20 × 10<sup>30</sup> W
C)6.62 × 10<sup>26</sup> W
D)3.74 × 10<sup>26</sup> W
E)2.98 × 10<sup>25</sup> W
Q3) The sun radiates energy at a rate of 3.86 × 10<sup>26</sup> W.Its radius is 7.0 × 10<sup>8</sup> m.If the distance from the Earth to the sun is 1.5 × 10<sup>11</sup> m,what is the intensity of solar radiation at the top of the Earth's atmosphere?
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Page 36

Chapter 35: The Nature of Light and the Principles of Ray Optics
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Q1) Light strikes a diamond (n = 2.42)immersed in glycerin (n = 1.473)at an angle of 60° relative to the normal to the surface.What is the angle of refraction?
A)20°
B)60°
C)32°
D)64°
E)15°
Q2) A laser beam is incident from the air at an angle of 30.00° to the vertical onto a solution of Karo syrup in water.If the beam is refracted to 19.24° to the vertical,what is the index of refraction of the syrup solution?
Q3) The speed of light changes when it goes from ethyl alcohol (n = 1.36)to carbon tetrachloride (n = 1.46).The ratio of the speed in carbon tetrachloride to the speed in ethyl alcohol,v<sub>2</sub>/v<sub>1</sub>,is
A)1.99
B)1.07
C)0.932
D)0.511
E)0.760
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Chapter 36: Image Formation
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Q1) A dentist uses a concave mirror (focal length 2 cm)to examine some teeth.If the distance from the object to the mirror is 1 cm,what is the magnification of the tooth?
A)6
B)1
C)4
D)2
E)1.5
Q2) An object 50-cm high is placed 1.0 m in front of a converging lens whose focal length is 1.5 m.Determine the image height (in cm).
A)77
B)150
C)52
D)17
E)83
Q3) Suppose an object is placed 6.0 cm in front of a lens that has a focal length of 4.0 cm.Where is the image located? What are the magnification and the character of the image?
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Chapter 37: Wave Optics
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Q1) The light reflected from a soap bubble (n = 1.40)appears red ( = 640 nm)at its center.What is the minimum thickness (in nm)?
A)124
B)104
C)114
D)134
E)234
Q2) Monochromatic light ( = 500 nm)is incident on a soap bubble (n = 1.40).What is the wavelength of the light (in nm)in the bubble film?
A)255
B)500
C)700
D)357
E)422
Q3) A soap bubble (n = 1.35)is floating in air.If the thickness of the bubble wall is 115 nm,what visible light wavelength is most strongly reflected?
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Chapter 38: Diffraction Patterns and Polarization
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Q1) How wide must a narrow slit be if the first diffraction minimum occurs at ±12° with laser light of 633 nm?
A)3.0 × 10 <sup>6</sup> m
B)3.0 × 10 <sup>5</sup> m
C)6.1 × 10 <sup>6</sup> m
D)6 .1× 10 <sup>5</sup> m
E)1.5 × 10 <sup>6</sup> m
Q2) A beam of X-rays of different frequencies is reflected at 10 degrees off a crystal of interatomic spacing 0.2 nm.Which X-ray wavelength is preferentially reflected?
A)0.0943 nm
B)0.139 nm
C)0.0695 nm
D)1.02 × 10 <sup>10</sup> m
E)3.47 × 10 <sup>11</sup> m
Q3) A diffraction grating with 4000 lines/cm is illuminated by light from the sun.The solar spectrum is spread out on a white wall across the room.At what angle from the center line does blue light (400 nm)appear? At what angle from the center line does red light (650 nm)appear?
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Chapter 39: Relativity
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Q1) Captain Jirk reports to headquarters that he left the planet Senesca 1.88 × 10<sup>4</sup> seconds earlier.Headquarters sends back the message: "Was that spaceship proper time?" It will be spaceship proper time if it was
A)measured by one clock fixed at one spot on Senesca.
B)measured by one clock fixed at one spot on the spaceship.
C)measured by a clock on Senesca at departure and by a clock on the spaceship when reporting.
D)measured by a clock on the spaceship when departing and by a clock on Senesca when reporting.
E)calculated by dividing the distance from Senesca according to Senesca by the speed of the spaceship.
Q2) When at rest,a spacecraft has the same height as length.When moving at relativistic speeds in the direction of its length,which one of the following describes its length and height to an observer at rest?
A)Its length is decreased and its height is increased.
B)Its length is decreased and its height is decreased.
C)Its length is decreased and its height is unchanged.
D)Its length is unchanged and its height is increased.
E)Its length is increased and its height is decreased.
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Chapter 40: Introduction to Quantum Physics
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Q1) Film behind a double slit is exposed to light in the following way: First one slit is opened and light is allowed to go through that slit for time t.Then it is closed and the other slit is opened and light is allowed to go through that slit for the same time t.When the film is developed the pattern will be
A)one single slit pattern.
B)two superimposed single slit patterns,their centers displaced from each other by the distance between the two slits.
C)one double slit pattern.
D)two double slit patterns,their centers displaced from each other by the distance between the two slits.
E)random darkening of the film.(no pattern at all)
Q2) How much energy is in an 89.7 MHz photon of FM-radiation?
A)2.2 × 10 <sup>33</sup> J
B)9.5 × 10 <sup>27</sup> J
C)7.4 × 10 <sup>42</sup> J
D)5.9 × 10 <sup>26</sup> J
E)3.7 × 10 <sup>25</sup> J
Q3) What is the shortest x-ray wavelength that can be produced in a 12-keV x-ray machine?
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Page 42

Chapter 41: Quantum Mechanics
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Q1) A particle is in the first excited state of a one-dimensional box of length 1.0 m.What is the minimum value of its momentum (in kg m/s)?
A)3.3 × 10 <sup>34</sup>
B)6.6 × 10 <sup>34</sup>
C)9.9 × 10 <sup>34</sup>
D)13 × 10 <sup>34</sup>
E)22 × 10 <sup>34</sup>
Q2) Quantum tunneling occurs in
A)nuclear fusion.
B)radioactive decay by emission of alpha particles.
C)the scanning tunneling microscope.
D)all of the above.
E)only (b)and (c)above.
Q3) Classically,the concept of "tunneling" is impossible.Why?
A)The kinetic energy of the particle would be negative.
B)The velocity of the particle would be negative.
C)The total energy of a particle is equal to the kinetic and potential energies.
D)The kinetic energy must be equal to the potential energy.
E)The total energy for the particle would be negative.
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Page 43

Chapter 42: Atomic Physics
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Q1) What value of wavelength is associated with the Lyman series for n = 2?
(R<sub>H</sub> = 1.097 × 10<sup>7</sup> m <sup>1</sup>)
A)8.2 × 10<sup>6</sup> m
B)1.2 × 10 <sup>7</sup> m
C)2.7 × 10<sup>6</sup> m
D)3.6 × 10 <sup>7</sup> m
E)8.8 × 10 <sup>7</sup> m
Q2) When electrons fill a subshell in which the orbitals have equal energy,the order in which the orbitals are filled is such that
A)a minimum number of electrons has unpaired spins.
B)a minimum number of electrons has intrinsic angular momentum.
C)a maximum number of electrons has unpaired spins.
D)a maximum number of electrons first fills the next energy level.
E)the maximum number of electrons has the same set of quantum numbers.
Q3) A hydrogen atom emits a photon of wavelength 657.7 nm.From what energy state to what lower energy state did the electron jump?
Q4) The energy difference between the upper and lower levels in a certain laser is 1.9593 eV.What is the wavelength of the light emitted by the laser?
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Page 44

Chapter 43: Molecules and Solids
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Q1) The rotation spectrum of the HCl molecule suggests a photon in the far infrared (around 5.0 × 10 <sup>6</sup> m)can excite the first rotational level.From this data,the moment of inertia of the HCl molecule (in kg m<sup>2</sup>)is
A)2.8 × 10 <sup>48</sup>
B)2.8 × 10 <sup>49</sup>
C)2.8 × 10 <sup>47</sup>
D)2.8 × 10 <sup>46</sup>
E)2.8 × 10 <sup>45</sup>
Q2) A molecule makes a transition from the J = 1 to the J = 0 rotational energy state.The wavelength of the emitted photon is 2.6 × 10 <sup>3</sup> m.What is the moment of inertia of the molecule (in kg m<sup>2</sup>)?
A)2.9 × 10 <sup>46</sup>
B)5.7 × 10 <sup>45</sup>
C)1.1 × 10 <sup>44</sup>
D)1.5 × 10 <sup>46</sup>
E)9.1 × 10 <sup>46</sup>
Q3) Solid argon has a density of 1650 kg/m<sup>3</sup>.The atomic weight of argon is 40.0.Assuming each atom occupies a cubical volume,what is the distance between the argon atoms?
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Page 45

Chapter 44: Nuclear Structure
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Q1) It is often possible to use the atomic masses when calculating the binding energy of a nucleus.The reason for this is
A)the electron masses do not cancel.
B)the electron masses cancel.
C)tables of nuclear masses are usually not available.
D)the mass of the electron can usually be neglected when compared to the mass of the neutron.
E)the atomic masses are the same as the nuclear masses.
Q2) How many radioactive atoms are present in a sample that has an activity of 0.5 Ci and a half-life of 10 years? (1 curie = 3.7 × 10<sup>10</sup> decays/s)
A)9.5 × 10<sup>12</sup> atoms
B)8.4 × 10<sup>12</sup> atoms
C)7.3 × 10<sup>12</sup> atoms
D)6.5 × 10<sup>12</sup> atoms
E)2.7 × 10<sup>5</sup> atoms
Q3) The half-life of <sup>131</sup>I is 8 days.On a certain day,the activity of an <sup>131</sup>I sample is 6.4 mCi.What is its activity 40 days later?
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Chapter 45: Applications of Nuclear Physics
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Q1) Radiant energy reaching the Earth from the sun is not sufficient to keep the Earth's surface temperature comfortable for life.Of the following,the most likely source of the additional thermal energy is from
A)fusion of hydrogen nuclei in the Earth's core.
B)fusion of high Z nuclei in the Earth's core.
C)fission of radioactive nuclei inside the Earth.
D)fission of radioactive nuclei in cosmic rays.
E)deflection of radioactive nuclei in cosmic rays.
Q2) A rem (roentgen equivalent in man)is defined as (the product of)
A)the dose in RBE.
B)the dose in roentgen and the RBE factor.
C)the dose in rad times the dose in roentgen.
D)the dose in rad and the RBE factor.
E)the dose in rad and energy of radiation.
Q3) A beam of high-energy -particles is incident upon a person and deposits 0.35 J of energy in 0.80 kg of tissue.What dose in rads and what equivalent dose in rems does the individual receive? [RBE = 20]
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Page 47

Chapter 46: Particle Physics and Cosmology
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Q1) Calculate the range of the force that might be produced by the virtual exchange of a proton.(m<sub>p</sub> = 1.67 × 10 <sup>27</sup> kg,h = 6.626 × 10 <sup>34</sup> J s)
Q2) In this course we have seen that baryons have inertial and gravitational mass,intrinsic angular momentum,and other internal properties that have been given names like baryon number,strangeness,charm,etc.The Standard Model's explanation for these properties of baryons is that
A)the baryons are states of something more elementary that can exist in multiple quantum states.
B)the leptons are states of something more elementary that can exist in multiple quantum states.
C)photons are states of something more elementary that can exist in multiple quantum states.
D)according to the Heisenberg Uncertainty Principle quantum numbers are indeterminate.
E)quarks are states of something more elementary that can exist in multiple quantum states.
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