Physics for Life Sciences Practice Exam

Course Introduction

Physics for Life Sciences is designed to introduce foundational physical principles and their applications to biological systems. This course covers key topics such as mechanics, thermodynamics, fluid dynamics, electromagnetism, optics, and modern physics, with a strong emphasis on real-world phenomena relevant to life sciences, including cellular processes, biomechanics, nerve conduction, and cardiovascular dynamics. Through lectures, problem-solving sessions, and laboratory experiments, students develop a deep understanding of how fundamental physics concepts underpin physiological functions and medical technologies, fostering critical problem-solving and quantitative reasoning skills essential for future studies in biology, medicine, or related fields.

Recommended Textbook

Practice of Physics 1st Global Edition by Eric Mazur

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Chapter 1: Foundations

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Q1) 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

Q2) The current definition of the standard second of time is based on

A) the frequency of radiation emitted by cesium atoms.

B) the earth's rotation rate.

C) the duration of one year.

D) the oscillation of a particular pendulum kept in France.

Answer: A

Q3) How many nanoseconds does it take for a computer to perform one calculation if it performs 6.7 × 107 calculations per second?

A) 15 ns

B) 67 ns

C) 11 ns

D) 65 ns

Answer: A

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Page 3

Chapter 1: A: Foundations

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Q1) The wavelength of a certain laser is 0.35 micrometers,where 1 micrometer = 1 × 10-6 m. Express this wavelength in nanometers.

A) 3.5 × 102 nm

B) 3.5 × 103 nm

C) 3.5 × 101 nm

D) 3.5 × 104 nm

Answer: A

Q2) A stationary siren emits sound of frequency 1000 Hz and wavelength 0.343 m.An observer who is moving toward the siren will measure a frequency f and wavelength for this sound such that

A) f > 1000 Hz and > 0.343 m.

B) f > 1000 Hz and = 0.343 m.

C) f > 1000 Hz and < 0.343 m.

D) f = 1000 Hz and < 0.343 m.

Answer: B

Q3) 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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Page 4

Chapter 2: Motion in One Dimension

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Q1) As part of an exercise program,a woman walks south at a speed of 2.00 m/s for 60.0 minutes. She then turns around and walks north a distance 3000 m in 25.0 minutes

(a)What is the woman's average velocity during her entire motion?

A)0.824 m/s south

B)1.93 m/s south

C)2.00 m/s south

D)1.79 m/s south

E)800 m/s south

(b)What is the woman's average speed during her entire motion?

A)0.824 m/s

B)1.93 m/s

C)2.00 m/s

D)1.79 m/s

E)800 m/s

Answer: (a)A (b)C

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Chapter 3: Acceleration

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Q1) A car starts from rest and accelerates with a constant acceleration of 1.00 m/s2 for 3.00 s. The car continues for 5.00 s at constant velocity. How far has the car traveled from its starting point?

A) 24.0 m

B) 9.00 m

C) 19.5 m

D) 4.50 m

E) 15.0 m

Q2) An airplane that is flying level needs to accelerate from a speed of 2.00 × 102 m/s to a speed of 2)40 × 102 m/s while it flies a distance of 1.20 km. What must be the acceleration of the plane?

A) 4.44 m/s2

B) 2.45 m/s2

C) 7.33 m/s2

D) 5.78 m/s2

E) 1.34 m/s2

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Page 6

Chapter 4: Momentum

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Q1) Two ice skaters push off against one another starting from a stationary position.The 45.0-kg skater acquires a speed of 0.375 m/s.What speed does the 60.0-kg skater acquire? Assume that any other unbalanced forces during the collision are negligible.

A) 0.500 m/s

B) 0.281 m/s

C) 0.375 m/s

D) 0.750 m/s

E) 0.000 m/s

Q2) A 2.50-kg stone is dropped from rest at a height of 3.75 m.What impulse does gravity impart to this stone from the instant it is dropped until it hits the ground,assuming negligible air resistance?

Q3) As a tile falls from the roof of a building to the ground its momentum is conserved. A)True B)False

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Chapter 5: Energy

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Q1) In an INELASTIC collision between two objects

A) the momentum of each object is conserved.

B) the kinetic energy of each object is conserved.

C) the momentum of the system is conserved but the kinetic energy of the system is not conserved.

D) both the momentum and the kinetic energy of the system are conserved.

E) the kinetic energy of the system is conserved, but the momentum of the system is not conserved.

Q2) A 620-g object traveling at 2.1 m/s collides head-on with a 320-g object traveling in the opposite direction at 3.8 m/s.If the collision is perfectly elastic,what is the change in the kinetic energy of the 620-g object?

A) It loses 0.23 J.

B) It gains 0.69 J.

C) It loses 0.47 J.

D) It loses 1.4 J.

E) It doesn't lose any kinetic energy because the collision is elastic.

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Chapter 6: Principle of Relativity

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Q1) There must be equal amounts of mass on both side of the center of mass of an object.

A)True

B)False

Q2) A 2.00-m rod of negligible mass connects two very small objects at its ends. The mass of one object is 1.00 kg and the mass of the other is unknown. The center of mass of this system is on the rod a distance 1.60 m from the 1.00-kg mass object. What is the mass of the other object?

A) 4.11 kg

B) 3.22 kg

C) 4.00 kg

D) 0.250 kg

E) 0.800 kg

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Chapter 7: Interactions

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Sample Questions

Q1) Is it possible for a system to have negative potential energy?

A) Yes, as long as the kinetic energy is positive.

B) Yes, as long as the total energy is positive.

C) Yes, since the choice of the zero of potential energy is arbitrary.

D) No, because the kinetic energy of a system must equal its potential energy.

E) No, because this would have no physical meaning.

Q2) On a smooth horizontal floor,an object slides into a spring which is attached to another mass that is initially stationary.When the spring is most compressed,both objects are moving at the same speed.Ignoring friction,what is conserved during this interaction?

A) momentum and mechanical energy

B) momentum only

C) kinetic energy only

D) momentum and kinetic energy

E) momentum and potential energy

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Chapter 8: Force

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Sample Questions

Q1) A box slides down a frictionless plane inclined at an angle above the horizontal.The gravitational force on the box is directed

A) parallel to the plane in the same direction as the movement of the box.

B) parallel to the plane in the opposite direction as the movement of the box.

C) perpendicular to the plane.

D) vertically.

E) at an angle below the inclined plane.

Q2) A time-varying horizontal force F(t)= At4 + Bt2 acts for 0.500 s on a 12.25-kg object,starting at time

t = 1.00 s.In the SI system,A has the numerical value 4.50 and B has the numerical value 8.75.

(a)What are the SI units of A and B?

(b)What impulse does this force impart to the object?

Q3) In order to get an object moving,you must push harder on it than it pushes back on you.

A)True

B)False

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Page 11

Chapter 9: Work

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Q1) If electricity costs 6.00¢/kWh (kilowatt-hour),how much would it cost you to run a 120 W stereo system 4.0 hours per day for 4.0 weeks?

A) $0.81

B) $0.12

C) $1.38

D) $2.27

Q2) It requires 49 J of work to stretch an ideal very light spring from a length of 1.4 m to a length of 2.9 m.What is the value of the spring constant of this spring?

A) 15 N/m

B) 44 N/m

C) 29 N/m

D) 22 N/m

Q3) A 7.0-kg rock is subject to a variable force given by the equation F(x)= 6.0 N - (2.0 N/m)x + (6.0 N/m2)x2

If the rock initially is at rest at the origin,find its speed when it has moved 9.0 m.

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Chapter 10: Motion in a Plane

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Q1) A 200 g hockey puck is launched up a metal ramp that is inclined at a 30° angle.The coefficients of static and kinetic friction between the hockey puck and the metal ramp are s = 0.40 and k = 0.30,respectively.The puck's initial speed is 4.9 m/s.What speed does it have when it slides back down to its starting point?

A) 2.8 m/s

B) 3.5 m/s

C) 4.2 m/s

D) 4.9 m/s

Q2) A box is sliding down an incline tilted at a 12.0° angle above horizontal. The box is initially sliding down the incline at a speed of 1.50 m/s. The coefficient of kinetic friction between the box and the incline is 0.340. How far does the box slide down the incline before coming to rest?

A) 0.920 m

B) 2.33 m

C) 1.78 m

D) 0.720 m

E) The box does not stop. It accelerates down the plane.

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Page 13

Chapter 11: Motion in a Circle

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Q1) A new roller coaster contains a loop-the-loop in which the car and rider are completely upside down.If the radius of the loop is 13.2 m,with what minimum speed must the car traverse the loop so that the rider does not fall out while upside down at the top? Assume the rider is not strapped to the car.

A) 11.4 m/s

B) 12.5 m/s

C) 10.1 m/s

D) 14.9 m/s

Q2) A 4.50-kg wheel that is 34.5 cm in diameter rotates through an angle of 13.8 rad as it slows down uniformly from 22.0 rad/s to 13.5 rad/s.What is the magnitude of the angular acceleration of the wheel?

A) 0.616 rad/s2

B) 5.45 rad/s2

C) 111 rad/s2

D) 22.5 rad/s2

E) 10.9 rad/s2

Q3) A 1.25-kg ball begins rolling from rest with constant angular acceleration down a hill.If it takes 3.60 s for it to make the first complete revolution,how long will it take to make the next complete revolution?

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Page 14

Chapter 12: Torque

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Sample Questions

Q1) A string is wrapped around a pulley with a radius of 2.0 cm and no appreciable friction in its axle.The pulley is initially not turning.A constant force of 50 N is applied to the string,which does not slip,causing the pulley to rotate and the string to unwind.If the string unwinds 1.2 m in 4.9 s,what is the moment of inertia of the pulley?

A) 0.17 kg m2

B) 17 kg m2

C) 14 kg m2

D) 0.20 kg m2

E) 0.017 kg m2

Q2) If the magnitude of the cross product of two vectors is one-half the dot product of the same vectors,what is the angle between the two vectors?

Q3) A light board,10 m long,is supported by two sawhorses,one at one edge of the board and a second at the midpoint.A small 40-N weight is placed between the two sawhorses,3.0 m from the edge and 2.0 m from the center.What forces are exerted by the sawhorses on the board?

Q4) If two vectors point in opposite directions,their cross product must be zero.

A)True

B)False

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Chapter 13: Gravity

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Q1) Find the orbital speed of an ice cube in the rings of Saturn.The mass of Saturn is 5.68 × 1026 kg and the rings have an average radius of 100,000 km.(G = 6.67 × 10-11 N m2/kg2)

A) 19.5 km/s

B) 27.5 km/s

C) 13.8 km/s

D) 1.95 km/s

Q2) 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.

Q3) A small-sized 155-kg mass is located 1.50 m from a small-sized 275-kg mass,with both masses fixed in place.Where should you place a third small-sized mass so that the net gravitational force on it due to the original two masses is zero?

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Chapter 14: Special Relativity

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Q1) An electron is accelerated from rest through a potential difference of 50.0 kV.What is the TOTAL energy of the electron? (c = 3.00 × 108 m/s,e = 1.60 × 10-19 C,mel = 9.11 × 10-31 kg)

A) 8.00 × 10-15 J

B) 16.2 × 10-15 J

C) 8.20 × 10-14 J

D) 9.00 × 10-14 J

E) 16.2 × 10-14 J

Q2) In an "atom smasher," two particles collide head on at relativistic speeds.If the velocity of the first particle is 0.741c to the left,and the velocity of the second particle is 0.350c to the right (both of these speeds are measured in Earth's rest frame),how fast are the particles moving with respect to each other?

A) 0.866c

B) 1.091c

C) 0.883c

D) 0.788c

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Chapter 15: Periodic Motion

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Q1) A 0.50-kg object is attached to an ideal massless spring of spring constant 20 N/m along a horizontal,frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position.

(a)What is the amplitude of vibration?

(b)At what location are the kinetic energy and the potential energy of the system the same?

Q2) A machine part is vibrating along the x-axis in simple harmonic motion with a period of 0.27 s and a range (from the maximum in one direction to the maximum in the other)of 3.0 cm.At time t = 0 it is at its central position and moving in the +x direction.What is its position when t = 55 s?

A) x = -0.43 cm

B) x = -0.51 cm

C) x = +0.51 cm

D) x = -1.3 cm

E) x = -1.4 cm

Q3) A frictionless simple pendulum on Earth has a period of 1.75 s.On Planet X its period is 2.14 s.What is the acceleration due to gravity on Planet X?

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Chapter 16: Waves in One Dimension

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Q1) Four traveling waves are described by the following equations,where all quantities are measured in SI units and y represents the displacement.

I: y = 0.12 cos(3x - 21t)

II: y = 0.15 sin(6x + 42t)

III: y = 0.13 cos(6x + 21t)

IV: y = -0.27 sin(3x - 42t)

Which of these waves have the same period?

A) I and III, and also II and IV

B) I and IV, and also II and III

C) I and II, and also III and IV

D) All of them have the same period.

E) They all have different periods.

Q2) You and your surfing buddy are waiting to catch a wave a few hundred meters off the beach. The waves are conveniently sinusoidal,and you notice that when you're on the top of one wave and moving toward your friend,she is exactly halfway between you and the trough of the wave. 1.50 seconds later,your friend is at the top of the wave.You estimate the horizontal distance between you and your friend at 8.00 m.

(a)What is the frequency of the waves?

(b)Find the speed of the waves.

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Chapter 17: Waves in Two and Three Dimensions

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Q1) A carousel that is 5.00 m in radius has a pair of 600-Hz sirens mounted on posts at opposite ends of a diameter.The carousel rotates with an angular velocity of 0.800 rad/s. A stationary listener is located at a distance from the carousel.The speed of sound is 350 m/s.The maximum beat frequency of the sirens at the position of the listener is closest to

A) 6 Hz.

B) 8 Hz.

C) 10 Hz.

D) 12 Hz.

E) 14 Hz.

Q2) Shock waves occur when

A) the frequency of the waves is the resonant frequency of the system.

B) the amplitude of waves exceeds the critical shock value.

C) two waves from different sources collide with each other.

D) the wave source is traveling at a speed greater than the wave speed.

E) the period of the waves matches the lifetime of the waves.

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Chapter 18: Fluids

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Q1) Water,of density 1000 kg/m3,is flowing in a drainage channel of rectangular cross-section.The width of the channel is 15 m,the depth of the water is 8.0 m and the speed of the flow is 2.5 m/s.At what rate is water flowing in this channel?

A) 2.0 × 105 kg/s

B) 2.0 × 103 kg/s

C) 3.0 × 105 kg/s

D) 3.0 × 103 kg/s

E) 3.0 × 102 kg/s

Q2) 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/cc

A) 6.6 cm

B) 37 cm

C) 131 cm

D) 79 cm

Q3) A wooden raft has a mass of 50 kg.When empty it floats in water (density 1000 kg/m3)with 69% of its volume submerged.What mass of sand can be put on the raft without it sinking?

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Chapter 19: Entropy

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Q1) A bag of potato chips contains 2.00 L of air when it is sealed at sea level at a pressure of 1.00 atm and a temperature of 20.0°C. What will be the volume of the air in the bag if you take it with you,still sealed,to the mountains where the temperature is 7.00°C and atmospheric pressure is 70.0 kPa? Assume that the bag behaves like a balloon and that the air in the bag is in thermal equilibrium with the outside air.

(1 atm = 1.01 × 105 Pa)

A) 4.13 L

B) 1.01 L

C) 1.38 L

D) 2.76 L

Q2) A sample of an ideal gas is slowly compressed to one-half its original volume with no change in temperature.What happens to the average speed of the molecules in the sample?

A) It does not change.

B) It becomes 4 times as great.

C) It becomes 2 times as great.

D) It becomes 1/2 as great.

E) It becomes 1/4 as great.

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Chapter 20: Energy Transferred Thermally

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Q1) An ideal gas increases in temperature from 22°C to 42°C by two different processes.In one process,the temperature increases at constant volume,and in the other process the temperature increases at constant pressure.Which of the following statements about this gas are correct? (There may be more than one correct choice.)

A) The heat required to cause this temperature change is the same for both the constant-volume and the constant-pressure processes.

B) More heat is required for the constant-pressure process than for the constant-volume process.

C) The change in the internal (thermal) energy of the gas is the same for both the constant-volume and the constant-pressure processes.

D) The root-mean-square (thermal) speed of the gas molecules increases more during the constant-volume process than during the constant-pressure process.

Q2) When a vapor condenses

A) the temperature of the substance increases.

B) the temperature of the substance decreases.

C) heat energy leaves the substance.

D) heat energy enters the substance.

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Page 23

Chapter 21: Degradation of Energy

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Q1) A coal-fired plant generates 600 MW of electric power. The plant uses 4.8 × 106 kg of coal each day. The heat produced by the combustion of coal is 3.3 × 107 J/kg. The steam that drives the turbines is at a temperature of 300°C,and the exhaust water is at 37°C.

(a)What is the overall efficiency of the plant for generating electric power?

(b)What is the maximum efficiency that this plant could possibly have using the same temperature extremes that it presently uses?

(c)How much thermal energy is exhausted each day by this plant?

Q2) A Carnot engine operates between reservoirs at 550K and 300K,discarding 1500 J of heat in each cycle.

(a)What is the engine's efficiency?

(b)How much heat is supplied to the engine by the hot reservoir in each cycle?

Q3) Is it possible to transfer heat from a cold reservoir to a hot reservoir?

A) No; this is forbidden by the second law of thermodynamics.

B) Yes; this will happen naturally.

C) Yes, but work will have to be done.

D) Theoretically yes, but it hasn't been accomplished yet.

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Chapter 22: Electric Interactions

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Q1) When two point charges are 2.0 cm apart,each one experiences a 1.0-N electric force due to the other charge. If they are moved to a new separation of 8.0 cm,the electric force on each of them is closest to

A) 1.0 N.

B) 4.0 N.

C) 16 N.

D) 0.25 N.

E) 0.063 N.

Q2) A piece of plastic has a net charge of +2.00 C. How many more protons than electrons does this piece of plastic have? (e = 1.60 × 10-19C)

A) 1.25 × 1013

B) 1.25 × 1019

C) 2.50 × 1013

D) 2.50 × 1019

Q3) Three point charges are placed on the x-axis.A charge of +2.0 C is placed at the origin,-2.0 C to the right at x = 50 cm,and +4.0 C at the 100 cm mark. What are the magnitude and direction of the electrostatic force that acts on the charge at the origin? (k = 1/4 0 = 8.99 × 109 N m2/C2)

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Chapter 23: The Electric Field

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Q1) At a distance of 4.3 cm from the center of a very long uniformly charged wire,the electric field has magnitude 2000 N/C and is directed toward the wire.What is the charge on a 1.0 cm length of wire near the center? ( 0 = 8.85 × 10-12 C2/N m2)

A) -0.048 nC

B) -0.052 nC

C) -0.044 nC

D) -0.056 nC

Q2) A thin,circular disk of radius 30.0 cm is oriented in the yz-plane with its center at the origin.The disk carries a total charge of +3.00 C distributed uniformly over its surface.Calculate the magnitude of the electric field due to the disk at the point x = 15.0 cm along the x-axis.( 0 = 8.85 × 10-12 C2/N m2)

A) 9.95 × 105 N/C

B) 4.98 × 105 N/C

C) 3.31 × 105 N/C

D) 2.49 × 105 N/C

E) 1.99 × 105 N/C

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Chapter 24: Gausss Law

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Q1) An infinitely long nonconducting cylinder of radius R = 2.00 cm carries a uniform volume charge density of 18.0 µC/m3. Calculate the electric field at distance r = 1.00 cm from the axis of the cylinder. ( 0 = 8.85 × 10-12 C2/N m2)

A) 2.50 × 103 N/C

B) 5.10 × 103 N/C

C) zero

D) 2.00 × 103 N/C

E) 10.2 × 103 N/C

Q2) If the electric flux through a closed surface is zero,the electric field at points on that surface must be zero.

A)True

B)False

Q3) Two extremely large nonconducting horizontal sheets each carry uniform charge density on the surfaces facing each other.The upper sheet carries +5.00 µC/m2.The electric field midway between the sheets is 4.25 × 105 N/C pointing downward.What is the surface charge density on the lower sheet?

( 0 = 8.85 × 10-12 C2/N m2)

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Page 27

Chapter 25: Work and Energy in Electrostatics

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Q1) Suppose you have two point charges of opposite sign.As you move them farther and farther apart,the potential energy of this system relative to infinity A) increases. B) decreases. C) stays the same.

Q2) In a certain region,the electric potential due to a charge distribution is given by the equation V(x,y,z)= 3x2y2 + yz32z3x,where x,y,and z are measured in meters and V is in volts.Calculate the magnitude of the electric field vector at the position (x,y,z)= (1.0,1.0,1.0).

A) 4.3 V/m

B) 2.0 V/m

C) -8.1 V/m

D) 8.6 V/m

E) 74 V/m

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 26: Charge Separation and Storage

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Sample Questions

Q1) A parallel-plate capacitor has a capacitance of 10 mF and is charged with a 20-V power supply.The power supply is then removed and a dielectric material of dielectric constant 4.0 is used to fill the space between the plates.What is the voltage now across the capacitor?

A) 80 V

B) 20 V

C) 10 V

D) 5.0 V

E) 2.5 V

Q2) A 1.0 F capacitor has a potential difference of 6.0 V applied across its plates.If the potential difference across its plates is increased to 8.0 V,how much ADDITIONAL energy does the capacitor store?

A) 14 J

B) 28 J

C) 2.0 J

D) 4.0 J

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Chapter 27: Magnetic Interactions

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Q1) A vertical wire carries a current vertically upward in a region where the magnetic field vector points toward the north.What is the direction of the magnetic force on this current due to the field?

A) downward B) toward the north C) toward the south D) toward the east E) toward the west

Q2) An alpha particle is moving at a speed of 5.0 × 105 m/s in a direction perpendicular to a uniform magnetic field of strength 0.040 T.The charge on an alpha particle is 3.2 × 10-19 C and its mass is 6.6 × 10-27 kg.

(a)What is the radius of the path of the alpha particle?

(b)How long does it take the alpha particle to make one complete revolution around its path?

Q3) A wire along the z-axis carries a current of 6.8 A in the +z direction.Find the magnitude and direction of the force exerted on a 6.1-cm long length of the wire by a uniform magnetic field with magnitude 0.36 T in the -x direction.

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Chapter 28: Magnetic Fields of Charged Particles in Motion

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Q1) A solenoid having N turns and carrying a current of 2.000 A has a length of 34.00 cm.If the magnitude of the magnetic field generated at the center of the solenoid is 9.000 mT,what is the value of N? ( 0 = 4 × 10-7 T m/A)

A) 860.0

B) 1591

C) 2318

D) 3183

E) 1218

Q2) A 1000-turn toroidal solenoid has a central radius of 4.2 cm and is carrying a current of 1.7 A.What is the magnitude of the magnetic field inside the solenoid at the central radius? ( 0 = 4 × 10-7 T m/A)

A) 8.1 mT

B) 51 mT

C) 16 mT

D) 81 mT

E) zero

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Chapter 29: Changing Magnetic Fields

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Q1) A ten-loop coil having an area of 0.23 m2 and a very large resistance is in a 0.047-T uniform magnetic field oriented so that the maximum flux goes through the coil.The coil is then rotated so that the flux through it goes to zero in 0.34 s.What is the magnitude of the average emf induced in the coil during the 0.34 s?

A) 0.0032 V

B) 0.00 V

C) 0.032 V

D) 0.32 V

E) 1.0 V

Q2) A circular loop of radius 0.10 m is rotating in a uniform external magnetic field of 0.20 T. Find the magnetic flux through the loop due to the external field when the plane of the loop and the magnetic field vector are (a)parallel.

(b)perpendicular.

(c)at an angle of 30° with each other.

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Chapter 30: Changing Electric Fields

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Q1) 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].(c = 3.0 × 108 m/s)

(a)What is the largest that the x-component of the wave can be?

(b)What is the largest that the z-component of the wave can be?

Q2) A microwave oven operates with sinusoidal microwaves at a frequency of 2400 MHz.The height of the oven cavity is 25 cm and the base measures 30 cm by 30 cm.Assume that microwave energy is generated uniformly on the upper surface of the cavity and propagates directly downward toward the base.The base is lined with a material that completely absorbs microwave energy.The total microwave energy content of the cavity is 0.50 µJ.What is the amplitude of the electric field? (c = 3.00 × 108 m/s,

0 = 4 × 10-7 T m/A, 0 = 8.85 × 10-12 C2/N m2)

A) 1600 V/m

B) 1900 V/m

C) 2200 V/m

D) 2500 V/m

E) 2800 V/m

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Page 33

Chapter 31: Electric Circuits

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Q1) Two cables of the same length are made of the same material,except that one cable has twice the diameter of the other cable.When the same potential difference is maintained across both cables,which of the following statements are true? (There may be more than one correct choice.)

A) The same current flows through both cables.

B) Both cables carry the same current density.

C) The electrons have the same drift velocity in both cables.

D) The current in the thin cable is twice as great as the current in the thick cable.

E) The current in the thin cable is four times as great as the current in the thick cable.

Q2) An electric device delivers a current of 5.0 A to a device.How many electrons flow through this device in 10 s? (e = 1.60 × 10-19C)

A) 0.20

B) 20

C) 2.0

D) 3.1 × 1020

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Page 34

Chapter 32: Electronics

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Q1) A series circuit consists of a 50-Hz ac source,a 50- resistor,a 0.50-H inductor,and a 60- F capacitor.The rms current in the circuit is measured to be 3.1 A.What is the voltage amplitude of the source?

A) 510 V

B) 270 V

C) 220 V

D) 180 V

E) 160 V

Q2) For an LRC series circuit containing a resistance of 11.0 k ,a capacitance of 2.0 µF,and an inductance of 24.0 H,what frequency is needed to minimize the impedance?

A) 0.023 kHz

B) 0.14 kHz

C) 10 kHz

D) 1.7 kHz

Q3) A series LRC circuit consists of a 12.0-mH inductor,a 15.0-µF capacitor,a resistor,and a 110-V (rms)ac voltage source.If the impedance of this circuit is 45.0 at resonance,what is its impedance at a frequency twice the resonance frequency?

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Page 35

Chapter 33: Ray Optics

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Q1) A double-concave lens has equal radii of curvature of 15.1 cm.An object placed 14.2 cm from the lens forms a virtual image 5.29 cm from the lens.What is the index of refraction of the lens material?

A) 1.90

B) 1.98

C) 1.82

D) 1.77

Q2) A 4.0-cm tall object is placed 60 cm away from a converging lens of focal length 30 cm.What are the nature and location of the image? The image is

A) real, 2.5 cm tall, and 30 cm from the lens on the same side as the object.

B) virtual, 2.5 cm tall, and 30 cm from the lens on the side opposite the object.

C) virtual, 2.0 cm tall, and 15 cm from the lens on the side opposite the object.

D) virtual, 4.0 cm tall, and 60 cm from the lens on the same side as the object.

E) real, 4.0 cm tall, and 60 cm from the lens on the side opposite the object.

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Chapter 34: Wave and Particle Optics

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Q1) A thin beam of laser light of wavelength 514 nm passes through a diffraction grating having 3952 lines/cm.The resulting pattern is viewed on a distant curved screen that can show all bright fringes up to and including ±90.0° from the central spot.What is the TOTAL number of bright fringes that will show up on the screen?

A) 4

B) 5

C) 8

D) 9

E) 10

Q2) If the fifth order minimum in the diffraction pattern of a thin slit is at 40° from the central maximum,what is the highest order minimum in the pattern?

A) 6

B) 11

C) 8

D) 7

E) 9

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