Engineering Physics II Exam Answer Key - 2855 Verified Questions

Engineering Physics II

Exam Answer Key

Course Introduction

Engineering Physics II builds upon the foundational concepts introduced in the first course, focusing on electricity, magnetism, optics, and modern physics. Students will explore topics such as electric fields, circuits, electromagnetic waves, and the principles of light and image formation. The course integrates theoretical understanding with practical laboratory experiments, enabling students to apply physics principles to solve engineering problems. This rigorous exploration aims to strengthen problem-solving skills and provides a critical background for advanced study in engineering and physics disciplines.

Recommended Textbook

University Physics with Modern Physics 2nd Edition by Wolfgang Bauer

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40 Chapters

2855 Verified Questions

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Page 2

Chapter 1: Overview

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Sample Questions

Q1) 27500 people live in the Duchy of Grand Fenwick,which has a land area of a square 5.8 km on each side.How many people live there per square km?

A)820

B)817

C)810

D)809

Answer: A

Q2) The measured length of a cylindrical laser beam is 12.1 meters,its measured diameter is 0.00121 meters,and its measured intensity is 1.21 * 10⁵ W/m².Which of these measurements is the most precise?

A)length

B)diameter

C)intensity

D)All three are equally precise.

Answer: D

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Page 3

Chapter 2: Motion in a Straight Line

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Sample Questions

Q1) A car can accelerate from zero to 164 m/s in 469 meters.How long (in seconds)does it take to do this?

A)5.7

B)2.3

C)1.2

D)13.2

E)112

Answer: A

Q2) A plane lands at 50.0 m/s,and its brakes are capable of slowing it down at 10.0 m/s².How far does it go (in m)between touching down and stopping?

A)9.81

B)50.

C)125.

D)500.

E)250.

Answer: C

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Chapter 3: Motion in Two and Three Dimensions

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Q1) The x and y positions (in meters)of a particle are given by: x(t)= 253 t,and y(t)= -12.0 t² + 155 t + 100.The speed of the particle at t = 12.9 s is

A)0 m/s.

B)98.4 m/s.

C)296 m/s.

D)408 m/s.

E)529 m/s.

Answer: C

Q2) A tube is mounted on a railcar which is moving at 30 m/s.Rain is falling vertically at a constant rate of 12 m/s.The minimum angle of tilt of the tube for not getting any rain on its inside is

A)45.1S1U1P1\(\circ\)S1S1P0.

B)28.5S1U1P1\(\circ\)S1S1P0.

C)21.8S1U1P1\(\circ\)S1S1P0.

D)18.4S1U1P1\(\circ\)S1S1P0.

Answer: C

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Chapter 4: Force

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Sample Questions

Q1) A block of mass 0.50 kg is on a table and attached to a block of mass 0.25 kg by a taut,massless string.The 0.25-kg block hangs by means of the string,which goes over a pulley.The 0.25-kg block is released,and it descends from rest at a constant acceleration,travelling 1.00 m in 1.25 s.What is the coefficient of kinetic friction between the table and the 0.50-kg block?

A)0.30

B)0.47

C)0.53

D)0.80

Q2) A 2.29-kg mass is suspended from a string which is pulled upward.The mass accelerates upwards with an acceleration of 2.30 m/s².What is the tension in the string? (in N)

A)2.219 * 10¹

B)2.773 * 10¹

C)3.466 * 10¹

D)4.333 * 10¹

E)5.416 * 10¹

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Chapter 5: Kinetic Energy, work, and Power

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Q1) Two boats are travelling along a river.Boat A is half as massive as boat B,but the kinetic energy of boat A is 3 larger than the kinetic energy of boat B.What is the ratio of their speeds v_A/v_B?

A)6.0

B)1.2

C)1.5 D)0.82

E) 2.4

Q2) An object slides without friction up an incline and gains a height h = 71.0 m.The incline makes an angle of 35.0S1U1P1\(\circ\)S1S1P0 with respect to the horizontal.If the object's final speed was 45.0 m/s,what was its initial speed in m/s?

A)56.3

B)53.1

C)45.0

D)70.0

E)58.5

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Chapter 6: Potential Energy and Energy Conservation

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Sample Questions

Q1) A tennis ball of mass 70 g is thrown vertically upward at 25 m/s.It rises to a height of 21 m.The work done by the resistive forces is

A)-18.1 J.

B)-7.5 J.

C)-6.2 J.

D)-3.5 J.

Q2) Find the magnitude of the force at the position x = 2.0 m and y = 3.0 m associated with the potential energy function U = (7.0 J)+ (5.0 J/m)x + (4.0 J/m)y.

A)6.4 N

B)11.1 N

C)9.0 N

D)16.0 N

E)7.8 N

Q3) The mechanical energy of an object is always equal to A)the work done on the object.

B)the change in the object's kinetic energy.

C)the sum of the object's kinetic and potential energies. D)All are correct.

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Chapter 7: Momentum and Collisions

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Sample Questions

Q1) A spring is compressed between two blocks,block A of mass m,and block B of mass 3m.The 1250 N/m spring is released,sending the blocks in opposite directions.What is the ratio of kinetic energies of block A to block B,K_A/K_B?

A)1/3

B)3

C)1

D)1/9

E)More information is needed.

Q2) In a collision between two objects,what is always conserved?

A)the momentum of each object individually

B)the total momentum of the two objects

C)the kinetic energy of each object individually

D)the total kinetic energy of the two objects

E)More than one of the choices are true.

Q3) The sum of the forces acting on an object is equal to

A)the object's momentum.

B)the impulse the object receives.

C)the rate of change of the object's momentum.

D)None are correct.

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Page 9

Chapter 8: Systems of Particles and Extended Objects

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Sample Questions

Q1) A carbon monoxide molecule consists of a carbon atom bonded to an oxygen atom.The mass of the carbon atom is 75% the mass of the oxygen atom.The carbon atom is located at the origin and the oxygen atom is located at x = d.Where is the center of mass of the carbon monoxide molecule located?

A)0.50d

B)0.57d

C)0.60d

D)0.75d

Q2) A 25-kg boy jumps off of a 130-kg raft.If the boy jumps off at a speed of 4.90 m/s relative to the lake,what is the speed of the raft relative to the lake? Ignore the effects of water resistance.

A)0.94 m/s

B)1.1 m/s

C)1.6 m/s

D)2.5 m/s

E)0.50 m/s

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Chapter 9: Circular Motion

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Sample Questions

Q1) A wheel of radius 4 m is spinning with a constant angular velocity of 2 rad/s.What is the centripetal acceleration of a point on the wheel's rim?

A)2 m/s²

B)4 m/s²

C)8 m/s²

D)16 m/s²

E)32 m/s²

Q2) A spy satellite is in circular orbit around the Earth at an altitude of 500 km above ground.What is the satellite's centripetal acceleration,if it makes one revolution every 90 min? (The radius of Earth is approximately 6400 km.)

A)1.12 m/s²

B)2.69 m/s²

C)5.20 m/s²

D)9.34 m/s²

E)9.81 m/s²

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11

Chapter 10: Rotation

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Sample Questions

Q1) A bug crawls from the center to the edge of a uniform disk that is freely turning at 20 rpm.The disk has a mass of 11 grams and a radius of 26 cm.If the angular speed of the disk is 12.6 rpm when the bug reaches the disk's edge,what is the mass of the bug?

A)1.7 g

B)2.5 g

C)2.8 g

D)3.2 g

E)2.0 g

Q2) A baton consists of a nearly massless rod of length L and two spheres attached to the ends of the rod,whose masses are each M and whose centers are separated by L.The spheres have radius R.If the sphere radius R is not negligible compared to the length L,what is the moment of inertia of the baton about an axis perpendicular to its length and passing through its center?

A)2MR²

B)2ML²

C)2ML² + 2MR²

D)(1/2)ML²

E)(1/2)ML² + 2MR²

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Chapter 11: Static Equilibrium

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Sample Questions

Q1) A pivot is placed under a massless 100-cm pole at 50 cm from the ends.A 4-kg mass is hung 15 cm from the left end and a 3-kg mass is hung 45 cm from the left end.If the stick is to remain in rotational equilibrium,how far from the left end of the pole must a third 8-kg mass have be hung?

A)19.4 cm

B)24.4 cm

C)30.6 cm

D)69.4 cm

E)74.4 cm

Q2) A 75-kg box with a height of 90 cm and a width of 30 cm is at rest on a flat board attached to the bed of a pickup truck.The coefficient of static friction between the box and the board is 0.47.What s the maximum acceleration that the pickup truck can have without the box tipping over?

A)1.5 m/s²

B)3.3 m/s²

C)3.5 m/s²

D)4.6 m/s²

E)7.0 m/s²

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Chapter 12: Gravitation

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Sample Questions

Q1) How much energy does it take to move a 300-kg satellite from an orbit 300 km above the Earth's surface to an orbit 600 km above the Earth's surface?

A)7.72 * 10⁸ J

B)3.86 * 10⁸ J

C)8.82 * 10⁸ J

D)4.35 * 10⁸ J

E)6.56 * 10⁸ J

Q2) A satellite is put into orbit 37,000 km above the Earth's surface and has a kinetic energy of 105 MJ.What is the mass of the satellite?

A)23 kg

B)51 kg

C)18 kg

D)32 kg

E)120 kg

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14

Chapter 13: Solids and Fluids

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Sample Questions

Q1) Water at ground level is moving at a speed of 1.20 m/sec in a pipe at a pressure of 850 kPa.The pipe goes up to the fourth floor of a building where its elevation is 12.5 meters above the ground and its radius is the same.The density of water is 1000 kg/ m³.What is the pressure of the water on the fourth floor?

A)425 kPa

B)525 kPa

C)727 kPa

D)827 kPa

Q2) A motorist pulls into a gas station and uses a pressure gauge to check one of the tires on her car.The gauge reads 301.3 kPa.What is the absolute pressure of the air in the tire? Atmospheric pressure is 101.3 kPa.

A)200.0 kPa

B)301.3 kPa

C)402.6 kPa

D)602.6 kPa

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Chapter 14: Oscillations

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Sample Questions

Q1) A particle in simple harmonic motion has an angular frequency of 24 rad/s.Its maximum velocity is 25 m/s.What is the amplitude of its oscillation?

A)600 m

B)16 m

C)4.0 m

D)1.0 m

E)More information is needed.

Q2) A simple harmonic oscillator consists of an object on a spring,with the whole of the apparatus in a vat of fluid.If the damping constant is exactly one tenth that required for critical damping,what is the ratio of the damped period to the oscillator's period if set in motion outside the vat of fluid?

A)1.005

B)1.000

C)0.995

D)0.949

E)More information is needed.

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Chapter 15: Waves

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Sample Questions

Q1) A 5.00-m long string of mass 10.0 g is clamped at both ends.The tension in the string is 200 N.The string is pluck so that it oscillates and the speed of a wave on the string is 150 m/s.What is the frequency of the wave if it produces a standing wave with 4 antinodes?

A)31 Hz

B)45 Hz

C)60 Hz

D)79 Hz

E)84 Hz

Q2) A guitar string with a mass of 12 g is 80 cm long and attached to a guitar at two points separated by 71 cm.What tension must the guitar string have so that its fundamental note is 256 Hz?

A)500 N

B)550 N

C)1100 N

D)2000 N

E)2200 N

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Page 17

Chapter 16: Sound

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Sample Questions

Q1) The sound level when one student is talking during lecture is 40.0 dB.What would be the sound level if all 256 students talk at the same time during lecture? Assume each student talks equally loudly.

A)42.4 dB

B)64.1 dB

C)65.6 dB

D)296 dB

Q2) A sound meter placed 5.0 m away from a speaker registers a sound level of 60 dB.If the volume on the speaker is turned down so that the power is reduced by a factor of 40,what will the sound meter now read?

A)1.5 dB

B)7.5 dB

C)15 dB

D)44 dB

E)56 dB

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18

Chapter 17: Temperature

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Q1) In order to make a tight fit between two metal parts,machinists sometimes make the interior part larger than the hole into which it will fit,and then either cool the interior part or heat the exterior piece so that the pieces will fit.Consider fitting an aluminum rod with diameter D₁ (at 25S1U1P1\(\circ\)S1S1P0C)into a D₂ = 12.000 mm (at 25S1U1P1\(\circ\)S1S1P0C)diameter hole in a brass plate.The machinists can cool the rod to 77 K by immersing it in liquid nitrogen.What is the largest possible diameter D₁ of the rod at 25S1U1P1\(\circ\)S1S1P0C that will just fit into the hole if the rod has been cooled to 77 K and the brass plate has been left at 25S1U1P1\(\circ\)S1S1P0C? The coefficients of thermal expansion for aluminum and brass are 22 * 10^-6 K^-1 and 19*10^-6 K^-1,respectively.

A)11.941 mm

B)12.000 mm

C)12.014 mm

D)12.032 mm

E)12.058 mm

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Chapter 18: Heat and the First Law of Thermodynamics

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Q1) In which process is there no work done on a gas?

A)isothermal

B)isochoric

C)Isobaric

D)None are correct.

Q2) A 2.00-g lead bullet is shot into a wooden wall.As a result,the temperature of the bullet increases by 212S1U1P1\(\circ\)S1S1P0C.Assuming that all of its kinetic energy is absorbed as heat by the bullet,what was the speed of the bullet just prior to striking the wall?

A)250 m/s

B)202 m/s

C)280 m/s

D)234 m/s

E)271 m/s

Q3) For an adiabatic process,

A)the work done by the system is always zero.

B)no heat ever flows between the system and its environment.

C)the change of the system's internal energy is always zero.

D)None are correct.

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Page 20

Chapter 19: Ideal Gases

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Q1) The pressure of an ideal gas is tripled and its volume is decreased to 25% of its original value.How is the temperature affected?

A)T' = 3/4 T

B)T' = 4/3 T

C)T' = (3/4)^1/2 T

D)T' = (4/3)^1/2 T

E)T' = (3/4)² T

Q2) The specific heat of steam (M = 18 g/mol)at constant volume is 2.5 kJ/kg K.Given R = 8.31 J/mol .K,the specific heat at constant pressure is

A)2.96 kJ/kg.K.

B)3.51 kJ/kg.K.

C)4.98 kJ/kg.K.

D)10.81 kJ/kg.K.

E)14.98 kJ/kg.K.

Q3) For an ideal gas,the temperature measured in degrees Celsius is proportional to A)the average speed of the ideal gas molecules.

B)the root-mean-squared speed of the ideal gas molecules. C)the average kinetic energy of the ideal gas molecules.

D)None are correct.

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Page 21

Chapter 20: The Second Law of Thermodynamics

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Q1) The change in entropy of a system depends only on the initial and final states.This means that

A)the change in entropy for any process can be calculated.

B)any process is reversible.

C)entropy always increases.

D)All are correct.

E)None are correct.

Q2) If 5.0 J of heat are extracted from the cold reservoir of a Carnot refrigerator operated between 20S1U1P1\(\circ\)S1S1P0C and 0S1U1P1\(\circ\)S1S1P0C,how much heat is expelled into the hot reservoir?

A)4.66 J

B)2.02 J

C)5.37 J

D)3.23 J

E)0.71 J

Q3) A system undergoes a reversible adiabatic process.The entropy change of the system is

A)\(\Delta\)S < 0.

B)\(\Delta\)S > 0.

C)\(\Delta\)S = 0.

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Chapter 21: Electrostatics

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Q1) Two initially uncharged identical metal spheres are connected by an insulating spring (unstretched length 0.75 m).Charge +2q is placed on the first sphere and -q on the second sphere,causing the spring to contract to a length of 0.54 m.Recall that the force exerted by a spring is k\(\Delta\)x,where \(\Delta\)x is the change in the spring's length from its unstretched/uncompressed length and k is the spring constant.If the charge q = 2.06 * 10^-5 C,what is the spring constant?

A)125 N/m

B)187 N/m

C)35.0 N/m

D)58.3 N/m

E)142 N/m

Q2) Which of the following have a largest net force?

A)A 1-C charge a distance of 1 m from a -2-C charge.

B)A 1-C charge a distance of 0.5 m from a -1-C charge.

C)A 1-C charge exactly halfway between a -1-C charge and a 1-C charge separated by 2 m.

D)A 1-C charge exactly halfway between two -2-C charges separated by 2 m.

E)A 1-C charge a distance of 2m from a -4-C charge.

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Page 23

Chapter 22: Electric Fields and Gausss Law

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Q1) An electric dipole has opposite charges of 2.0 * 10^-15 C which are separated by a distance of 0.40 mm.It is oriented at 40S1U1P1\(\circ\)S1S1P0with respect to a uniform electric field of 1.0 * 10³ N/C.Determine the magnitude of the torque exerted on the dipole by the electric field.

A)2.2 * 10^-16 Nm

B)3.8 * 10^-16 Nm

C)5.1 * 10^-16 Nm

D)6.7 * 10^-16 Nm

E)8.0 * 10^-16 Nm

Q2) A charge q₁ = 1.0 \(\mu\)C is placed at the origin of an x-axis and another charge q₂ = 2.0 \(\mu\)C is placed at position x = 10 cm.Find a point on the axis where the electric field due to these two charges is zero.

A)x = 2.6 cm

B)x = -3.2 cm

C)x = 4.2 cm

D)x = -10.0 cm

E)x = 5 cm

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Chapter 23: Electric Potential

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Q1) The potential energy stored in a system consisting of an electric dipole in a constant electric field is minimum when the angle between the electric dipole moment and the electric field is:

A)0S1U1P1\(\circ\)S1S1P0

B)90S1U1P1\(\circ\)S1S1P0

C)180S1U1P1\(\circ\)S1S1P0

D)the potential energy is independent of the angle between these two vectors

Q2) An infinite plane of charge has a planar charge density of + 2.2 nC/m² and is located in the yz plane at x=0.What fixed point charge should be placed on the x-axis at x = + 1.0 m to make the electric potential a minimum on the x-axis at x=+0.65 m?

A)+ 5.0 nC

B)+ 7.8 nC

C)+ 3.3 nC

D)+ 1.7 nC

E)+ 4.4 nC

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Chapter 24: Capacitors

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Q1) A 1.50-µF capacitor charged to 40.0 V and a 2.40-µF capacitor charged to 15.0 V are connected to each other,with the positive plate of each connected to the negative plate of the other.What is the final electric potential across the 1.50-µF capacitor?

A)12.5 V

B)6.15 V

C)40.0 V

D)25.0 V

E)8.13 V

Q2) What is the capacitance of two parallel plates 0.9 mm apart with an area of 12 cm² if the space between the plates is filled with a material with dielectric constant of 3.7?

A)76 F

B)4.4 mF

C)130 \(\mu\)F

D)3.7 \(\mu\)F

E)44 pF

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Chapter 25: Current and Resistance

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Q1) A current flows through an aluminum wire.The aluminum wire has a length of 2.00 m,a diameter of 0.0300 cm,and a carrier density of 6.02 * 10²⁸ electrons/m³.If the electron drift velocity is 1.84 * 10^-4 m/s,what is the current in the wire?

A)0.500 A

B)0.125 A

C)0.313 A

D)0.102 A

E)0.230 A

Q2) A battery has an unloaded terminal voltage of 48 V.When a load of 15 \(\varOmega\) is connected to the battery,the terminal voltage drops to 45.4 V.What is the internal resistance of the battery?

A)1.0 \(\varOmega\)

B)1.2 \(\varOmega\)

C)1.3 \(\varOmega\)

D)0.86 \(\varOmega\)

E)0.95 \(\varOmega\)

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Page 27

Chapter 26: Direct Current Circuits

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Q1) A 2-µF capacitor is connected in series with a 1.2-M\(\varOmega\) resistor and a 5-V battery for a long time.What is the current in the resistor 1s after disconnecting the battery?

A)1.00 µA

B)1.25 µA

C)2.00 µA

D)2.50 µA

E)2.75 µA

Q2) A 24-V battery is attached to a 3.0-mF capacitor and a 100-ohm resistor.If the capacitor is initially uncharged,what is the voltage across the resistor 0.16 seconds after the circuit is connected to the battery?

A)12 V

B)14 V

C)9.9 V

D)15 V

E)8.6 V

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Chapter 27: Magnetism

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Q1) What is the magnitude of the force on an electron moving with a velocity of 6.33 * 10⁶ m/s at right angles to a 2.53 *10^-2 T magnetic field?

A)2.56 * 10^-14 N

B)2.56 * 10^-11 N

C)2.56 * 10^-8 N

D)2.56 * 10^-5 N

E)2.56 * 10^-2 N

Q2) An electron enters the region between two plates traveling along the x-direction with a speed of v = 2.53 * 10⁶ m/s.Both plates are parallel to the x-y plane and are separated by 3.2 cm.The potential of the top plate at z = 3.2 cm is +150 V while the potential of the bottom plate at z = 0 cm is 0 V.What is the magnitude of the magnetic field between the plates that is required so that the electron continues traveling in a straight line along the x-direction in this region?

A)1.85 * 10^-3 T

B)5.93 * 10^-5 T

C)2.63 * 10^-4 T

D)1.32 * 10^-3 T

E)9.45 * 10^-4 T

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Chapter 28: Magnetic Fields of Moving Charges

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Q1) Two long wires are suspended by 16-cm long threads attached from the ceiling so that they are parallel to each other and to the ceiling above.They each carry an electric current of 15A,in opposite directions.When they carry no current,the wires hang such that they are touching all along their length,and the threads are vertical and immediately adjacent to one another.If the angle between the threads is 10.0S1U1P1\(\circ\)S1S1P0,what is the mass per unit length of the wires?

A)0.47 g/m

B)1.9 g/m

C)3.8 g/m

D)24 g/m

E)48 g/m

Q2) Two parallel wires,separated by the distance of 2 cm,carry the currents I₁ = 1 A and I₂ = 2 A in the same direction.How far from the wire carrying the current I₁ is the magnetic field zero?

A)never 0

B)1.00 cm

C)0.667 cm

D)3.00 cm

E)2.00 cm

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Chapter 29: Electromagnetic Induction

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Q1) An inductor of inductance L and a resistor of resistance R are connected in series and then at t = 0 the combination is connected across the terminals of a battery.When is the current flowing through the resistor equal to half its maximum value?

A)t = L/2R

B)t = L/R

C)t = 2L/R

D)None are correct.

Q2) A solenoid of radius 2 cm and length 15 cm has 120 turns.If the rate of change of induced current through it is 12.9 A/s,what is the self-induced emf?

A)2.71 mV

B)3.41 mV

C)1.96 mV

D)4.00 mV

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Chapter 30: Alternating Current Circuits

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Q1) A simple tuned FM antenna circuit is used to pick up radio signals.The circuit is a series RLC circuit with an inductor (9.50 \(\mu\)H)and a variable capacitor which can be tuned to receive your favorite station.The radio signal from your favorite FM radio station produces a sinusoidal time-varying emf with an amplitude 15 \(\mu\)V and a frequency of 88.7 MHz in the antenna,which acts as an ac emf.Another radio station produces a sinusoidal time-varying emf with the same amplitude but with a frequency of 88.5 MHz.With the circuit tuned to optimize reception at 88.7 MHz,what should the value of the resistance in the FM circuit be in order to attenuate by a factor of two (compared to the power if the circuit were optimized for 88.5 MHz)the current produced by the signal from the second station?

A)4.3 * 10^-5 \(\varOmega\)

B)10 \(\varOmega\)

C)14 \(\varOmega\)

D)24 \(\varOmega\)

E)36 \(\varOmega\)

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Chapter 31: Electromagnetic Waves

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Q1) A radio transmission from a space probe passing by Pluto 4.6 * 10¹² m away indicates a dangerous collision likely with one of Pluto's small moons.If the probe is moving at 19.4 km/s,how far will it move from the time it sent the message to Earth about its danger to the time at which it receives the command from Earth to start firing retro rockets?

A)3.0 * 10⁸ m

B)6.0 * 10⁸ m

C)9.0 * 10⁸ m

D)None are correct.

Q2) A laser beam is reflected back from a totally reflecting sail on a spacecraft that is 4.5 * 10⁷ m from the source of the beam.How long after the beam is sent does it return to the source?

A)100 ms

B)200 ms

C)150 ms

D)300 ms

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Chapter 32: Geometric Optics

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Q1) The the frequency and wavelength of light in an optical fiber are 4.57 *10¹⁴ Hz and 437 nm,respectively.What is the critical angle for light in this optical fiber,if the fiber is surrounded by water (n=1.33)?

A)57.9S1U1P1\(\circ\)S1S1P0

B)62.3S1U1P1\(\circ\)S1S1P0

C)48.8S1U1P1\(\circ\)S1S1P0

D)41.7S1U1P1\(\circ\)S1S1P0

E)65.4S1U1P1\(\circ\)S1S1P0

Q2) A metallic,spherical Christmas tree ornament has a diameter of 16.00 cm.If Saint Nicholas is by the fireplace,0.720 m away,where will he see his reflection relative to the surface of the ornament?

A)-7.2 cm

B)-3.8 cm

C)4.2 cm

D)9.0 cm

E)21 cm

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34

Chapter 33: Lenses and Optical Instruments

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Q1) A system of two converging lenses 7.5 cm apart from each other is used to examine a leaf from a distance (to the first lens)of 25 cm.If the focal lengths of the two lenses are 12 cm and 17 cm,respectively,what is the magnification of the image?

A)-0.48

B)+0.48

C)0.33

D)-0.33

Q2) A person wears bifocal glasses and is reading a newspaper a distance of 20.0 cm away.The lower part of the lens is converging for reading and has a focal length of 70.0 cm.The upper part of the lens is diverging for seeing at distances far away and has a focal length of 50.0 cm.What is the uncorrected far point for the person?

A)20.0 cm

B)50.0 cm

C)70.0 cm

D)90.0 cm

E)120 cm

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Chapter 34: Wave Optics

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Q1) The distance between the slits in a double slit experiment is 5.00 * 10^-4 m.A beam of light with a wavelength of 488 nm is shone on the slits.What is the angular separation between the central maximum and the adjacent maximum?

A)5.00 * 10^-4 rad

B)7.26 * 10^-4 rad

C)9.76 * 10^-4 rad

D)9.94 * 10^-4 rad

Q2) The smallest object separation a near-sighted person can resolve with her naked eye is 3.3 * 10^-5 m.Assume the diameter of her pupil is 3.0 mm,her eye has a near point of 20 cm and a far point of 2.0 m,and she is using blue-green light (\(\lambda\) = 520 nm).What is the index of refraction of the aqueous humor?

A)1.30

B)1.50

C)1.40

D)1.20

E)1.10

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Chapter 35: Relativity

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Q1) How much energy is released when a neutron (rest mass 939.6 MeV/c²)decays into a proton (rest mass 938.3 MeV/c²),an electron (rest mass 0.511 MeV/c²)and an anti-electron neutrino (rest mass approximately zero)?

A)789 keV

B)1.81 MeV

C)1.88 GeV

D)None are correct.

Q2) Sam sees two events as simultaneous: (i)event A occurs at the point (0,0,0)at the instant 0:00:00 Universal time; (ii.event B occurs at the point (569 m,0,0)at the same moment.

Tim,moving past Sam with a velocity of (0.998 c)",also observes the two events.Relative to the time Tim measures for event A,when does Tim see event B occur?

A)3.74 µs before event A

B)3.74 µs after event A

C)29.9 µs before event A

D)29.9 µs after event A

E)at the same time as event A

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Chapter 36: Quantum Physics

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Q1) What is the minimum wavelength of light which can cause electron emission from copper?

A)263 nm

B)424 nm

C)678 nm

D)1435 nm

E)2345 nm

Q2) The Pauli exclusion principle applies to A)fermions only.

B)bosons only.

C)both fermions and bosons.

D)electrons only.

Q3) A 20.0 kg particle has a deBroglie wavelength of 10.0 cm.What is the smallest position uncertainty of the particle if its speed uncertainty is 3.31 * 10^-35 m/s?

A)7.15 cm

B)5.00 cm

C)8.33 cm

D)6.63 cm

E)7.97 cm

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Chapter 37: Quantum Mechanics

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Q1) What is |g(x)|² for g(x)= 17i - (8+7i)x?

A)289 - 238x + 113x²

B)289 - 238x - 15x²

C)289 + 238x + 113x²

D)289 + 238x - 15x²

E)-289 + 238x - 113x²

Q2) A particle in an infinite square well of length L has a zero probability of being found at a point L/2.What is the lowest possible energy this particle can have?

A)h²/(2ma²)

B)h²/(ma²)

C)2h²/(ma²)

D)3h²/(ma²)

E)4h²/(ma²)

Q3) An electron is trapped in an infinite potential well.How does the amplitude of its probability wave function change as the width of the well increases?

A)It increases also.

B)It decreases.

C)It remains constant.

D)How it changes can't be determined solely by the information given.

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Page 39

Chapter 38: Atomic Physics

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Q1) A 5.0 UV laser emits light that has a wavelength 350 nm.If 1.23 * 10¹⁸ photons are emitted in a pulse,what is the duration of the pulse?

A)140 ns

B)89 ns

C)54 ns

D)110 ns

E)10 ns

Q2) Find the frequency of light emitted by a hydrogen atom when its electron makes the transition from the n = 5 state to the n = 2 state.

A)2.3 * 10⁶ Hz

B)1.1 * 10⁷ Hz

C)6.9 * 10¹⁴ Hz

D)3.3 * 10¹⁵ Hz

E)3.8 * 10¹⁵ Hz

Q3) What is the longest wavelength in the Lyman series of hydrogen?

A)122 nm

B)312 nm

C)415 nm

D)535 nm

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Page 40

Chapter 39: Elementary Particle Physics

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Q1) In a scattering experiment,an alpha particle initially with 8.00 MeV of kinetic energy can approach the nucleus of an unknown element to within 20.0 fm.If the only force between the alpha particle and the nucleus of the unknown element is the electric force,then what initial kinetic energy is required for a the alpha particle to approach within 30.0 fm of the nucleus?

A)4.67 MeV

B)6.00 MeV

C)5.33 MeV

D)5.67 MeV

Q2) Protons with kinetic energy of 1.6 MeV scatter off a lead (Pb)nuclei in a foil target.Each Pb nucleus contains 82 protons.If both the incoming protons and the Pb nuclei can be treated as point objects and the differential scattering cross section for the protons to scatter off the Pb nuclei is 3.2 * 10^-27 m²/sr,what is the scattering angle relative to their initial velocity?

A)57S1U1P1\(\circ\)S1S1P0

B)35S1U1P1\(\circ\)S1S1P0

C)50S1U1P1\(\circ\)S1S1P0

D)70S1U1P1\(\circ\)S1S1P0

E)25S1U1P1\(\circ\)S1S1P0

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Chapter 40: Nuclear Physics

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Q1) What particle has 9 protons,10 neutrons,and 11 electrons?

A)¹⁰F^-2

B)¹⁹F^-2

C)⁹Ne^-2

D)¹⁹Ne^-2

E)⁹K^-2

Q2) A nuclear fission power plant produces about 2.50 GW of electrical power.Assume that the plant has an overall efficiency of 40.0% and that each fission produces 200.0 MeV of energy.Calculate the mass of ²³⁵U consumed each day.

A)1.05 kg

B)2.63 kg

C)4.89 kg

D)6.58 kg

E)7.11 kg

Q3) The volume of a nucleus is proportional to

A)the atomic number Z.

B)the atomic mass number

C)the neutron number N.

D)the number of electrons.

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Page 42