Engineering Physics I Exam Materials

Course Introduction

Engineering Physics I introduces students to the foundational principles of physics with an emphasis on their application in engineering contexts. Key topics include mechanics, kinematics, Newtons laws of motion, energy, momentum, and rotational dynamics. The course integrates theoretical concepts with problem-solving techniques and often includes laboratory experiments to reinforce understanding. Students gain practical skills in modeling physical systems, using mathematical tools, and analyzing experimental data, laying the groundwork for advanced studies in engineering and applied sciences.

Recommended Textbook

University Physics with Modern Physics 14th Edition by Hugh D. Young

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Page 2

Chapter 1: Units,physical Quantities,and Vectors

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Sample Questions

Q1) If two nonzero vectors point in the same direction,their dot product must be zero.

A)True

B)False

Answer: False

Q2) If a woman weighs 125 lb,her mass expressed in kilograms is x kg,where x is

A) less than 125.

B) greater than 125.

Answer: A

Q3) What is 0.2052/3,expressed to the proper number of significant figures?

A) 0.348

B) 0.35

C) 0.3

D) 0.3477

Answer: A

Q4) If a tree is 15 m tall,its height expressed in feet is x ft,where x is A) less than 15.

B) greater than 15.

Answer: B

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Chapter 2: Motion Along a Straight Line

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Q1) A rocket takes off vertically from the launchpad with no initial velocity but a constant upward acceleration of 2.25 m/s2.At 15.4 s after blastoff,the engines fail completely so the only force on the rocket from then on is the pull of gravity.

(a)What is the maximum height the rocket will reach above the launchpad?

(b)How fast is the rocket moving at the instant before it crashes onto the launchpad?

(c)How long after engine failure does it take for the rocket to crash onto the launchpad?

Answer: (a)328 m (b)80.2 m/s (c)11.7 s

Q2) Two objects are dropped from a bridge,an interval of 1.0 s apart,and experience no appreciable air resistance.As time progresses,the DIFFERENCE in their speeds

A) increases.

B) remains constant.

C) decreases.

D) increases at first, but then stays constant.

E) decreases at first, but then stays constant.

Answer: B

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Chapter 3: Motion in Two or Three Dimensions

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Q1) For an object in uniform circular motion,its velocity and acceleration vectors are always perpendicular to each other at every point in the path.

A)True

B)False

Answer: True

Q2) If you set the cruise control of your car to a certain speed and take a turn,the speed of the car will remain the same.Is the car accelerating?

A) Yes

B) No

Answer: A

Q3) If an object travels at a constant speed in a circular path,the acceleration of the object is

A) larger in magnitude the smaller the radius of the circle.

B) in the same direction as the velocity of the object.

C) smaller in magnitude the smaller the radius of the circle.

D) in the opposite direction of the velocity of the object.

E) zero.

Answer: A

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Chapter 4: Newtons Laws of Motion

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Sample Questions

Q1) On a horizontal frictionless floor,a worker of weight 0.900 kN pushes horizontally with a force of 0.200 kN on a box weighing 1.80 kN.As a result of this push,which statement could be true?

A) The box will not move because the push is less than its weight.

B) The worker and box will both have an acceleration of 1.08 m/s2, but in opposite directions.

C) The worker and box will both have an acceleration of 2.17 m/s2, but in opposite directions.

D) The worker will accelerate at 1.08 m/s2 and the box will accelerate at 2.17 m/s2, but in opposite directions.

E) The worker will accelerate at 2.17 m/s2 and the box will accelerate at 1.08 m/s2, but in opposite directions.

Q2) In a ballistics test,a 1.50-g bullet is fired through a 28.0-kg block traveling horizontally toward the bullet.In this test,the bullet takes 11.4 ms to pass through the block as it reverses the block's velocity from 1.75 m/s to the right to 1.20 m/s to the left with constant acceleration.Find the magnitude of the force that the bullet exerts on the block during this ballistics test.

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Chapter 5: Applying Newtons Laws

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Sample Questions

Q1) A car drives over a hilltop that has a radius of curvature 0.120 km at the top of the hill.At what speed would the car be traveling when it tires just barely lose contact with the road when the car is at the top of the hill?

A) 45.5 m/s

B) 41.8 m/s

C) 34.3 m/s

D) 22.2 m/s

E) 27.6 m/s

Q2) A person is dragging a packing crate of mass 100 kg across a rough horizontal floor where the coefficient of kinetic friction is 0.400.He exerts a force F sufficient to accelerate the crate forward.At what angle above horizontal should his pulling force be directed in order to achieve the maximum acceleration?

A) 21.8°

B) 27.7°

C) 30°

D) 34.5°

E) 45°

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Chapter 6: Work and Kinetic Energy

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Q1) An airplane flies 120 km at a constant altitude in a direction 30.0° north of east.A wind is blowing that results in a net horizontal force on the plane due to the air of 2.40 kN in a direction 10.0° south of west.How much work is done on the plane by the air?

A) -2.71 × 108 J

B) -0.985 × 108 J

C) -221 × 108 J

D) 221 × 108 J

E) 0.821 × 108 J

Q2) Two men,Joel and Jerry,push against a wall.Jerry stops after 10 min,while Joel is able to push for 5.0 min longer.Compare the work they do.

A) Both men do positive work, but Joel does 75% more work than Jerry.

B) Both men do positive work, but Joel does 50% more work than Jerry.

C) Both men do positive work, but Jerry does 50% more work than Joel.

D) Both men do positive work, but Joel does 25% more work than Jerry.

E) Neither of them does any work.

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Chapter 7: Potential Energy and Energy Conservation

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Sample Questions

Q1) Which,if any,of the following statements concerning the work done by a conservative force is NOT true?

A) It can always be expressed as the difference between the initial and final values of a potential energy function.

B) It is independent of the path of the body and depends only on the starting and ending points.

C) When the starting and ending points are the same, the total work is zero.

D) All of the above statements are true.

E) None of the above statements are true.

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 × 105 N/m

B) 3.92 × 105 N/m

C) 5.45 × 104 N/m

D) 4.12 × 105 N/m

E) 8.83 × 104 N/m

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Chapter 8: Momentum,impulse,and Collisions

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Q1) A baseball is thrown vertically upward and feels no air resistance.As it is rising

A) both its momentum and its mechanical energy are conserved.

B) its momentum is not conserved, but its mechanical energy is conserved.

C) both its momentum and its kinetic energy are conserved.

D) its kinetic energy is conserved, but its momentum is not conserved.

E) its gravitational potential energy is not conserved, buts its momentum is conserved.

Q2) 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

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Chapter 9: Rotation of Rigid Bodies

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Sample Questions

Q1) At any angular speed,a certain uniform solid sphere of diameter D has half as much rotational kinetic energy as a certain uniform thin-walled hollow sphere of the same diameter when both are spinning about an axis through their centers.If the mass of the solid sphere is M,the mass of the hollow sphere is

A) 3/5 M.

B) 5/3 M.

C) 5/6 M.

D) 6/5 M.

E) 2 M.

Q2) A slender uniform rod 100.00 cm long is used as a meter stick.Two parallel axes that are perpendicular to the rod are considered.The first axis passes through the 50-cm mark and the second axis passes through the 30-cm mark.What is the ratio of the moment of inertia through the second axis to the moment of inertia through the first axis?

A) I2/I1 = 1.5

B) I2/I1 = 1.7

C) I2/I1 = 1.9

D) I2/I1 = 2.1

E) I2/I1 = 2.3

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Chapter 10: Dynamics of Rotational Motion

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Sample Questions

Q1) If an irregularly shaped object (such as a wrench)is dropped from rest in a classroom and feels no air resistance,it will

A) accelerate but will not spin.

B) accelerate and turn until its center of gravity reaches its lowest point.

C) accelerate and turn about its center of gravity with uniform angular speed.

D) accelerate and turn about its center of gravity with uniform angular acceleration.

E) accelerate and spin until its center of gravity reaches its highest point.

Q2) A 5.0-m radius playground merry-go-round with a moment of inertia of 2000 kg m2 is rotating freely with an angular speed of 1.0 rad/s.Two people,each having a mass of 60 kg,are standing right outside the edge of the merry-go-round and step on it with negligible speed.What is the angular speed of the merry-go-round right after the two people have stepped on?

A) 0.20 rad/s

B) 0.40 rad/s

C) 0.60 rad/s

D) 0.80 rad/s

E) 0.67 rad/s

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Page 12

Chapter 11: Equilibrium and Elasticity

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Sample Questions

Q1) The tensile strength (the maximum tensile stress it can support without breaking)for a certain steel wire is 3000 MN/m2.What is the maximum load that can be applied to a wire with a diameter of 3.0 mm made of this steel without breaking the wire?

A) 64 kN

B) 9.0 kN

C) 42 kN

D) 85 kN

E) 21 kN

Q2) A nonuniform,80.0-g,meterstick balances when the support is placed at the 51.0-cm mark.At what location on the meterstick should a 5.00-g tack be placed so that the stick will balance at the 50.0 cm mark?

A) 16.0 cm

B) 67.0 cm

C) 66.0 cm

D) 35.0 cm

E) 34.0 cm

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Chapter 12: Fluid Mechanics

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Sample Questions

Q1) A hollow steel ball of diameter 3.0 m barely floats in water.What is the thickness of the wall of the ball? The density of iron is 7.87 g/cm3 and that of water is 1000 kg/m3.

A) 6.6 cm

B) 37 cm

C) 131 cm

D) 79 cm

Q2) A rock is under water in a shallow lake.As the rock sinks deeper and deeper into water,the buoyant force on it

A) increases.

B) decreases.

C) remains constant.

Q3) At a certain depth in the ocean,the absolute pressure is p.If you go to twice that depth (treating the water as incompressible)

A) the absolute pressure will be 2p.

B) the absolute pressure will be less than 2p.

C) the absolute pressure will be greater than 2p.

D) the gauge pressure will not change.

E) the gauge pressure will increase but will not double.

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Page 14

Chapter 13: Gravitation

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Sample Questions

Q1) A satellite is orbiting the earth.If a payload of material is added until it doubles the satellite's mass,the earth's pull of gravity on this satellite will double but the satellite's orbit will not be affected.

A)True

B)False

Q2) The gravitational acceleration on a planet's surface is 16.0 m/s2.What is the gravitational acceleration at an altitude of one planet diameter above the SURFACE of the planet?

A) 5.33 m/s2

B) 1.78 m/s2

C) 1.60 m/s2

D) 4.00 m/s2

E) 8.00 m/s2

Q3) Because the earth's orbit is slightly elliptical,the earth actually gets closer to the sun during part of the year.When the earth is closer to the sun its orbital speed is A) less than when the earth is farthest away from the sun. B) the same as when the earth is farthest away from the sun. C) greater than when the earth is farthest away from the sun.

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Chapter 14: Periodic Motion

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Sample Questions

Q1) An object of mass of 2.0 kg hangs from an ideal massless spring with a spring constant of 50 N/m.An oscillating force F = (4.8 N)cos[(3.0 rad/s)t] is applied to the object.What is the amplitude of the resulting oscillations? You can neglect damping.

A) 0.15 m

B) 0.30 m

C) 1.6 m

D) 2.4 m

E) 0.80 m

Q2) The amplitude of a lightly damped harmonic oscillator decreases from 60.0 cm to 40.0 cm in 10.0 s.What will be the amplitude of the harmonic oscillator after another 10.0 s passes?

A) 20.0 cm

B) 167 cm

C) 30.0 cm

D) 0.00 cm

E) 26.7 cm

Q3) An object of mass 6.8 kg is attached to an ideal massless spring of spring constant 1690 N/m.The object is Calculate the maximum speed the object reaches during its motion.

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Page 16

Chapter 15: Mechanical Waves

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Q1) A 2.00-m long piano wire with a mass per unit length of 12.0 g/m is under a tension of 8.00 kN.What is the frequency of the fundamental mode of vibration of this wire?

A) 204 Hz

B) 102 Hz

C) 408 Hz

D) 510 Hz

E) 153 Hz

Q2) Observer A is 3.0 m from a tiny light bulb and observer B is 12.0 m from the same bulb.Assume that the light spreads out uniformly and undergoes no significant reflections or absorption.If observer B sees a light of intensity I,the light intensity that A sees is

A) I.

B) 9I.

C) 16I.

D) 36I.

E) 144I.

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Chapter 16: Sound and Hearing

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Q1) A 0.25-m string,vibrating in its sixth harmonic,excites a 0.96-m pipe that is open at both ends into its second overtone resonance.The speed of sound in air is 345 m/s.The common resonant frequency of the string and the pipe is closest to A) 540 Hz.

B) 360 Hz.

C) 450 Hz.

D) 630 Hz.

E) 700 Hz.

Q2) Two pure tones are sounded together and a particular beat frequency is heard.What happens to the beat frequency if the frequency of one of the tones is increased?

A) It increases.

B) It decreases.

C) It does not change.

D) It becomes zero.

E) We cannot tell from the information given.

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Chapter 17: Temperature and Heat

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Q1) A certain metal has a coefficient of linear expansion of 2.00 × 10-5 K-1.It has been kept in a laboratory oven at 325°C for a long time.It is now removed from the oven and placed in a freezer at -145°C.After it has reached freezer temperature,the percent change in its density during this process is closest to

A) +2.90%.

B) -2.90%.

C) +2.74%.

D) -2.74%.

E) It is not possible to tell without knowing the mass and original volume of the metal.

Q2) It is necessary to determine the specific heat of an unknown object.The mass of the object is measured to be 199.0 g.It is determined experimentally that it takes 16.0 J to raise the temperature 10.0°C.Find the specific heat of the object.

A) 8.04 J/kg K

B) 1600 J/kg K

C) 0.00120 J/kg K

D) 3.18 × 106 J/kg K

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Chapter 18: Thermal Properties of Matter

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Q1) A container is filled with a mixture of helium (light molecules)and oxygen (heavy molecules)gases.A thermometer in the reads 22°C.Which gas molecules have the greater average speed?

A) It is the same for both of the gases because the temperatures are the same.

B) The oxygen molecules do because they are diatomic.

C) The oxygen molecules do because they are more massive.

D) The helium molecules do because they are less massive.

E) The helium molecules do because they are monatomic.

Q2) An ideal gas is kept in a rigid container.When its temperature is 100 K,the mean-free-path of the gas molecules is .What will be the mean-free-path of the molecules at 400 K?

A) 4

B) 2

D) /2

E) /4

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Chapter 19: The First Law of Thermodynamics

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Q1) An ideal gas with = 1.67 is initially at 0°C in a volume of 10.0 L at a pressure of 1.00 atm.It is then expanded adiabatically to a volume of 10.4 L.What is the final temperature of the gas?

A) -7.1°C

B) 2.5°C

C) -23°C

D) 68°C

E) -20°C

Q2) A quantity of ideal gas requires 800 kJ to raise the temperature of the gas by 10.0 K when the gas is maintained at constant volume.The same quantity of gas requires 900 kJ to raise the temperature of the gas by 10.0 K when the gas is maintained at constant pressure.What is the adiabatic constant for this gas?

A) 0.889

B) 1.13

C) 1.22

D) 1.67

E) 1.40

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Chapter 20: The Second Law of Thermodynamics

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Q1) A Carnot refrigerator takes heat from water at 0°C and rejects heat to a room at 12°C.Suppose that 92.0 grams of water at 0°C are converted to ice at 0°C by the refrigerator.Calculate the mechanical energy that must be supplied to the refrigerator.The heat of fusion of water is 3.34 × 105 J/kg.

Q2) A hot piece of iron is thrown into the ocean and its temperature eventually stabilizes.Which of the following statements concerning this process is correct? (There may be more than one correct choice.)

A) The entropy lost by the iron is equal to the entropy gained by the ocean.

B) The entropy gained by the iron is equal to the entropy lost by the ocean.

C) The change in the entropy of the iron-ocean system is zero.

D) The ocean gains more entropy than the iron loses.

E) The ocean gains less entropy than the iron loses.

Q3) A refrigerator has a coefficient of performance of 1.15,and it extracts 7.95 J of heat from the cold reservoir during each cycle.

(a)How much work is done on the gas in each cycle?

(b)How much heat is exhausted into the hot reservoir in each cycle?

Q4) The entropy of an isolated system must be conserved,so it never changes.

A)True

B)False

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Chapter 21: Electric Charge and Electric Field

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Q1) 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

Q2) 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.

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Chapter 22: Gausss Law

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Q1) 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, , 0 ,and .

(b)Check the reasonableness of your answer by evaluating it at the surface of the cylinder.

Q2) If a rectangular area is rotated in a uniform electric field from the position where the maximum electric flux goes through it to an orientation where only half the flux goes through it,what has been the angle of rotation?

A) 45°

B) 26.6°

C) 90°

D) 30°

E) 60°

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Chapter 23: Electric Potential

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Q1) A nonconducting sphere contains positive charge distributed uniformly throughout its volume.Which statements about the potential due to this sphere are true? All potentials are measured relative to infinity.(There may be more than one correct choice.)

A) The potential is highest at the center of the sphere.

B) The potential at the center of the sphere is zero.

C) The potential at the center of the sphere is the same as the potential at the surface.

D) The potential at the surface is higher than the potential at the center.

E) The potential at the center is the same as the potential at infinity.

Q2) If the electric potential in a region is given by V(x)= 6/x2,the x component of the electric field in that region is

A) -12x-3.

B) -6x.

C) 12x-3.

D) 12x.

E) 6x.

Q3) A half-ring (semicircle)of uniformly distributed charge Q has radius R.What is the electric potential at its center?

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Chapter 24: Capacitance and Dielectrics

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Q1) When two or more capacitors are connected in series across a potential difference, A) the potential difference across the combination is the algebraic sum of the potential differences across the individual capacitors.

B) each capacitor carries the same amount of charge.

C) the equivalent capacitance of the combination is less than the capacitance of any of the capacitors.

D) All of the above choices are correct.

E) None of the above choices are correct.

Q2) Three capacitors,of capacitance 5.00 F,10.0 F,and 50.0 F,are connected in series across a 12.0-V voltage source.

(a)How much charge is stored in the 5.00- F capacitor?

(b)What is the potential difference across the 10.0- F capacitor?

Q3) Two thin-walled concentric conducting spheres of radii 5.0 cm and 10 cm have a potential difference of 100 V between them.(k = 1/4 0 = 8.99 × 109 N m2/C2)

(a)What is the capacitance of this combination?

(b)What is the charge carried by each sphere?

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Chapter 25: Current,resistance,and Electromotive Force

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Q1) Nichrome wire,often used for heating elements,has resistivity of 1.0 × 10-6 m at room temperature.What length of No.30 wire (of diameter 0.250 mm)is needed to wind a resistor that has 50 ohms at room temperature?

A) 3.66 m

B) 2.45 m

C) 0.61 m

D) 6.54 m

E) 22.4 m

Q2) A tube of mercury with resistivity 9.84 × 10-7 m has an electric field inside the column of mercury of magnitude 23 N/C that is directed along the length of the tube.How much current is flowing through this tube if its diameter is 1.0 mm?

A) 18 A

B) 180 A

C) 29 A

D) 280 A

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Chapter 26: Direct-Current Circuits

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Q1) An uncharged 30.0-µF capacitor is connected in series with a 25.0- resistor,a DC battery,and an open switch.The battery has an internal resistance of 10.0 and the open-circuit voltage across its terminals is 50.0 V.The leads have no appreciable resistance.At time t = 0,the switch is suddenly closed.

(a)What is the maximum current through the 25.0- resistor and when does it occur (immediately after closing the switch or after the switch has been closed for a long time)?

(b)What is the maximum charge that the capacitor receives?

(c)When the current in the circuit is 0.850 A,how much charge is on the plates of the capacitor?

Q2) 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

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Chapter 27: Magnetic Field and Magnetic Forces

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Q1) A doubly charged ion (charge 2e)with velocity 6.9 × 106 m/s moves in a circular path of diameter 60.0 cm in a magnetic field of 0.80 T in a mass spectrometer.What is the mass of this ion? (e = 1.60 × 10-19C)

A) 11 × 10-27 kg

B) 6.7 × 10-27 kg

C) 4.5 × 10-27 kg

D) 3.3 × 10-27 kg

E) 8.2 × 10--27 kg

Q2) A charged particle is moving with speed v perpendicular to a uniform magnetic field.A second identical charged particle is moving with speed 2v perpendicular to the same magnetic field.If the frequency of revolution of the first particle is f,the frequency of revolution of the second particle is A) f.

B) 2f.

C) 4f.

D) f/2.

E) f/4.

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Chapter 28: Sources of Magnetic Field

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Q1) 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) remain the same.

B) become twice as strong.

C) become one half as strong.

Q2) A horizontal wire carries a current straight toward you.From your point of view,the magnetic field at a point directly below the wire points A) directly away from you.

B) to the left.

C) to the right.

D) directly toward you.

E) vertically upward.

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Chapter 29: Electromagnetic Induction

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Q1) A 50-cm wire placed in an east-west direction is moved horizontally to the north with a speed of 2.0 m/s.The horizontal component of the earth's magnetic field at that location is 25 T toward the north and the vertical component is 50 T downward.What is the emf induced between the ends of the wire?

A) 10 µV

B) 20 µV

C) 30 µV

D) 40 µV

E) 50 µV

Q2) A circular loop of wire lies in the plane of the paper.An increasing magnetic field points out of the paper.What is the direction of the induced current in the loop?

A) counter-clockwise then clockwise

B) clockwise then counter-clockwise

C) clockwise

D) counter-clockwise

E) There is no current induced in the loop.

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Chapter 30: Inductance

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Q1) A solenoid of length 0.700 m having a circular cross-section of radius 5.00 cm stores 6.00 µJ of energy when a 0.400-A current runs through it.What is the winding density of the solenoid? ( 0 = 4 × 10-7 T m/A)

A) 865 turns/m

B) 472 turns/m

C) 1080 turns/m

D) 104 turns/m

E) 327 turns/m

Q2) At what rate would the current in a 100-mH inductor have to change to induce an emf of 1000 V in the inductor?

A) 100 A/s

B) 1 A/s

C) 1000 A/s

D) 10,000 A/s

E) 10 A/s

Q3) The mutual inductance between two coils is 10.0 mH.The current in the first coil changes uniformly from 2.70 A to 5.00 A in 0.160 s.If the second coil has a resistance of 0.600 ,what is the magnitude of the induced current in the second coil?

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Chapter 31: Alternating Current

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Q1) When an LRC series circuit is driven at resonance,which of the following statements about the circuit are correct? (There may be more than one correct choice.)

A) The impedance of the circuit is zero.

B) The impedance of the circuit has its maximum value.

C) The impedance of the circuit has its minimum value.

D) The inductive reactance and the capacitive reactance are both zero.

E) The inductive reactance and the capacitive reactance are exactly equal to each other.

Q2) An LRC series circuit has voltage supplied to it at a frequency of 13.0 kHz with a phase difference between the current and the voltage of magnitude 0.20 rad.If the circuit has a capacitance of 5.0 F and an inductance of 0.050 H find the resistance of the circuit.

A) 20 k

B) 0.99 k

C) 9.0 k

D) 0.32 k

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Chapter 32: Electromagnetic Waves

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Q1) The magnitude of the magnetic field at point P for a certain electromagnetic wave is 2.12 T.What is the magnitude of the electric field for that wave at P? (c = 3.0 × 108 m/s)

A) 636 N/C

B) 745 N/C

C) 5.23 µN/C

D) 6.36 µN/C

E) 7.45 µN/C

Q2) The y component of the electric field of an electromagnetic wave traveling in the +x direction through vacuum obeys the equation Ey = (375 N/C)cos[kx - (2.20 × 1014 rad/s)t].What is the wavelength of this electromagnetic wave? (c = 3.0 × 108 m/s)

A) 0.272 µm

B) 1.36 µm

C) 2.72 µm

D) 8.57 µm

E) 17.1 µm

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Chapter 33: The Nature and Propagation of Light

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Q1) What is the critical angle for light traveling from crown glass (n = 1.52)into water (n = 1.33)?

A) 42°

B) 48°

C) 53°

D) 57°

E) 61°

Q2) A ray of light consisting of blue light (wavelength 480 nm)and red light (wavelength 670 nm)is incident on a thick piece of glass at 80°.What is the angular separation between the refracted red and refracted blue beams while they are in the glass? (The respective indices of refraction for the blue light and the red light are 1.4636 and 1.4561.)

A) 0.27°

B) 0.33°

C) 0.36°

D) 0.46°

E) 0.54°

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Chapter 34: Geometric Optics

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Q1) Which statements are true about a VIRTUAL image? (There may be more than one correct choice.)

A) Its location can be calculated, but it cannot be viewed directly by your eye without using auxiliary lenses.

B) It cannot be photographed.

C) It cannot be viewed on a screen.

D) A plane mirror always forms a virtual image.

E) A concave lens always forms a virtual image.

Q2) What is the angular magnification of a magnifying glass of focal length 4.0 cm if the image is to be viewed by a relaxed eye (image at the far point)having a near point of 25 cm and a far point at infinity?

A) 2.0 x

B) 3.0 x

C) 3.6 x

D) 4.0 x

E) 6.3 x

Q3) A magnifying lens has a focal length of 10 cm.A person has a near point of 25 cm and a far point at infinity.What is the angular magnification of the lens for that person when their eyes are focused at infinity?

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Page 36

Chapter 35: Interference

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Q1) 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?

Q2) Two extremely flat glass plates,10.0 cm wide,touch at one end but are separated by a thin wire at the other end,forming a wedge.Light with a wavelength of 450 nm shines almost perpendicularly on the glass and forms fringes which are 1.80 mm apart.What is the diameter of the wire?

A) 25.0 µm

B) 17.5 µm

C) 20.0 µm

D) 12.5 µm

E) 10.0 µm

Q3) Light of wavelength 525 nm passes through two slits separated by 0.500 mm and produces an interference pattern on a screen 7.80 m away.The intensity at the central maximum is I0.What is the distance on the screen from the center of this central maximum to the point where the intensity due to double-slit interference has fallen to 1/2 I0?

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Chapter 36: Diffraction

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Q1) A diffraction grating has 450 lines per mm.What is the highest order m that contains the entire visible spectrum from 400 nm to 700 nm?

A) m = 2

B) m = 3

C) m = 4

D) m = 5

E) m = 6

Q2) A diffraction grating has 300 lines per mm.If light of wavelength 630 nm is sent through this grating,what is the highest order maximum that will appear?

A) 8

B) 2

C) 6

D) 5

E) 5.3

Q3) A researcher is investigating a cubic crystal with X-rays.He is looking at Bragg reflection from the planes parallel to the cube faces.He finds that when using X-rays of 0.165 nm a strong first maximum occurs when the beam makes an angle of 23.5° with the planes.What is the spacing of adjacent atoms in the crystal?

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Chapter 37: Relativity

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Q1) Consider three galaxies,Alpha,Beta and Gamma.An observer in Beta sees the other two galaxies each moving away from him in opposite directions at speed 0.70c.At what speed would an observer in Alpha see the galaxy Beta moving?

A) 0.82c

B) 0.70c

C) 0.94c

D) 0.35c

E) 0.57c

Q2) A spaceship approaching an asteroid at a speed of 0.60c launches a rocket forward with a speed of 0.40c relative to the spaceship.At what speed is the rocket approaching the asteroid as measured by an astronaut on the asteroid?

A) 0.81c

B) 1.0c

C) 0.76c

D) 0.64c

E) 0.96c

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Chapter 38: Photons: Light Waves Behaving As Particles

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Sample Questions

Q1) If the accuracy in measuring the position of a particle increases,the accuracy in measuring its velocity will A) increase.

B) decrease.

C) remain the same.

D) It is impossible to say since the two measurements are independent and do not affect each other.

Q2) A light beam from a 2.1-mW He-Ne laser has a wavelength of 633 nm.How many photons does the laser emit in one second? (h = 6.626 × 10-34 J s,c = 3.00 × 108 m/s)

A) 6.7 × 1015

B) 8.8 × 1015

C) 1.1 × 1016

D) 1.3 × 1016

Q3) An unstable particle produced in a high-energy collision is measured to have an energy of 483 MeV and an uncertainty in energy of 84 keV.Use the Heisenberg uncertainty principle to estimate the lifetime of this particle.( h = 1.055 × 10-34 J s = 6.59 × 10-16 eV s)

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Chapter 39: Particles Behaving As Waves

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Q1) A 440-nm spectral line is produced by a transition from an excited state to the ground state.The natural line width of the spectral line is 0.020 pm.The average time the atom spends in the excited state is closest to which of the following? ( h = 1.055 × 10-34 J s = 6.59 × 10-16 eV s)

A) 2.5 × 10-6 s

B) 2.5 × 10-7 s

C) 2.5 × 10-8 s

D) 2.5 × 10-9 s

E) 2.5 × 10-10 s

Q2) What is the wavelength of peak emission for a black body at 37°C? (c = 3.0 × 108 m/s,Wien displacement law constant is 2.9 × 10-3 m K, = 5.67 × 10-8 W/m2 K4)

A) 94 µm

B) 9.4 µm

C) 29 µm

D) 7.8 µm

E) 78 µm

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Chapter 40: Quantum Mechanics

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Q1) If an atom in a crystal is acted upon by a restoring force that is directly proportional to the distance of the atom from its equilibrium position in the crystal,then it is impossible for the atom to have zero kinetic energy.

A)True

B)False

Q2) An electron is in the ground state of an infinite well (a box)where its energy is 5.00 eV.In the next higher level,what would its energy be? (1 eV = 1.60 × 10-19 J)

A) 1.25 eV

B) 2.50 eV

C) 10.0 eV

D) 15.0 eV

E) 20.0 eV

Q3) The square of the wave function of a particle,| (x)|2,gives the probability of finding the particle at the point x. A)True

B)False

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Chapter 41: Atomic Structure

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Q1) For each value of the principal quantum number n,what are the possible values of the electron spin quantum number ms? (There may be more than one correct choice.)

A) 0

B) +1/2

C) -1/2

D) +3/2

E) -3/2

Q2) The binding energy of the hydrogen atom in its ground state is -13.6 eV.What is the energy when it is in the n = 5 state?

A) 2.72 eV

B) -2.72 eV

C) 0.544 eV

D) -0.544 eV

E) -68 eV

Q3) Which of the following electron transitions is forbidden?

A) 3s 2p

B) 3d 2p

C) 3d 1s

D) 4p 1s

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Chapter 42: Molecules and Condensed Matter

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Q1) A vibrating diatomic molecule has vibrational quantum number n.The energy DIFFERENCE between adjacent energy levels

A) increases as n increases.

B) decreases as n increases.

C) is the same for all changes in n.

D) is independent of n.

Q2) If a metal had a Fermi level (energy)of 5.0 eV,what would be the average energy of the electrons at 0 K?

A) 8.0 eV

B) 6.0 eV

C) 3.0 eV

D) 0.00 eV

E) 5.0 eV

Q3) For a solid in which the occupation of the energy states is given by the Fermi-Dirac distribution,the probability that a certain state is occupied at a temperature T0 is 0.70.If the temperature is doubled to 2T0,what is the probability that the same state is occupied? Assume that the Fermi energy does not change with temperature.

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Chapter 43: Nuclear Physics

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Q1) If a nucleus decays by alpha decay to a daughter nucleus,which of the following statements about this decay are correct? (There may be more than one correct choice.)

A) The daughter nucleus has more protons than the original nucleus.

B) The daughter nucleus has more neutrons than the original nucleus.

C) The daughter nucleus has the same number of nucleons as the original nucleus.

D) The daughter nucleus has fewer protons than the original nucleus.

E) The daughter nucleus has fewer neutrons than the original nucleus.

Q2) Consider two different isotopes of the same neutral element.Which statements about these isotopes are true? (There may be more than one correct choice.)

A) Both isotopes contain the same number of neutrons.

B) Both isotopes contain the same number of protons.

C) Both isotopes contain the same number of nucleons.

D) Both isotopes contain the same number of orbital electrons.

E) The sum of the protons and neutrons is the same for both isotopes.

Q3) The iron nucleus has the greatest binding energy of any nucleus.

A)True

B)False

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Chapter 44: Particle Physics and Cosmology

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Q1) What type of particle is an electron? (There may be more than one correct choice.)

A) lepton

B) meson

C) baryon

D) nucleon

E) hadron

Q2) How long after the Big Bang did nucleosynthesis,the combining of protons and neutrons together to form nuclei,begin to occur?

A) 10-2 seconds

B) 3 minutes

C) 5000 years

D) 109 years

Q3) Consider the decay o - + e+.This decay is A) allowed.

B) forbidden because conservation of energy is violated.

C) forbidden because conservation of baryon number is violated.

D) forbidden because conservation of mass is violated.

E) forbidden because conservation of lepton numbers is violated.

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