Calculus-Based Physics II Exam Review - 2855 Verified Questions

Page 1


Calculus-Based Physics II Exam Review

Course Introduction

Calculus-Based Physics II is a continuation of introductory university physics, focusing on electricity, magnetism, optics, and selected modern physics topics. Students explore electric and magnetic fields, Coulomb's law, Gauss's law, Faradays law, and electromagnetic induction, applying calculus to solve complex quantitative problems. The course emphasizes conceptual understanding and analytical reasoning through laboratory experiments and theoretical analysis, providing a strong foundation for further studies in physics, engineering, and related disciplines.

Recommended Textbook University Physics with Modern Physics 2nd Edition by Wolfgang Bauer

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40 Chapters

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Chapter 1: Overview

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Sample Questions

Q1) The speed limit on your street is 35 mi/hr.What is this speed in m/s?

A)16 m/s

B)22 m/s

C)56 m/s

D)78 m/s

Answer: A

Q2) A right cylinder has a cross sectional area of 25.0 cm<sup>2</sup> and a height of 50.0 cm.What is the volume of the cylinder in SI units?

A)0.000125 m<sup>3</sup>

B)0.00125 m<sup>3</sup>

C)0.0125 m<sup>3</sup>

D)0.125 m<sup>3</sup>

E)1.250 m<sup>3</sup>

Answer: B

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3

Chapter 2: Motion in a Straight Line

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Q1) A firecracker is fired straight up with a speed of 100 m/s.Neglecting air resistance,the maximum height it will attain is

A)510 m.

B)325 m.

C)280 m.

D)129 m.

Answer: A

Q2) A police officer spots a speeding car traveling at 20 m/s (approximately 44 mph)as it passes.The officer immediately starts to drive,accelerating from rest at a rate of 5 m/s<sup>2</sup>.How far will the officer have to drive before catching up to the speeding car?

A)100 m

B)80 m

C)500 m

D)16 m

E)160 m

Answer: E

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Chapter 3: Motion in Two and Three Dimensions

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Q1) An airplane moves at 120 m/sec to the west with respect to the air.The air moves at 50 m/sec to the south with respect to the ground.How fast does the airplane move with respect to the ground?

A)70 m/s

B)120 m/s

C)130 m/s

D)170 m/s

Answer: C

Q2) A baseball is hit at a 45S1U1P1\(\circ\)S1S1P0 angle with a speed of 50 meters/second.How far does it go (in meters)before it hits the ground (within 5% accuracy)? (Ignore wind resistance and assume that the ground level is the same as the level it was hit from.)

A)125 m

B)250 m

C)500 m

D)1000 m

E)2000 m

Answer: B

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Chapter 4: Force

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Sample Questions

Q1) The mass of an object is

A)equal to its weight on the surface of the Earth.

B)equal to its weight in deep space.

C)never equal to its weight.

D)sometimes equal to its weight.

Q2) A 5000-kg (= 11000 lb)truck needs to make an emergency stop.The truck is traveling at a speed of 30 m/s (= 67.5 mph)when the brakes are applied.How far does the truck travel assuming that the coefficient of kinetic friction is 0.7?

A)34 m

B)66 m

C)131 m

D)345 m

E)882 m

Q3) A 100-kg object moves on a level surface with a coefficient of friction of 0.40.If the initial velocity is 15 m/s,how far will it travel before coming to rest?

A)25 m

B)29 m

C)15 m

D)11 m

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Chapter 5: Kinetic Energy, work, and Power

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Q1) A 1000-kg car starts from rest and accelerates to 60 mph (27 m/s)in 6.0 s.How much horsepower is required for this to occur?

A)52 hp

B)63 hp

C)75 hp

D)81 hp

E)95 hp

Q2) A force has the dependence F<sub>x</sub> = -ax<sup>4</sup> on the position x.The work performed by this force when the position of its point of application changes from 0.75 m to 1.50 m is -32.2 J.the constant a is

A)23.2 N/m<sup>4</sup>

B)19.1 N/m<sup>4</sup>

C)25.0 N/m<sup>4</sup>

D)29.3 N/m<sup>4</sup>

E)21.9 N/m<sup>4</sup>

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Chapter 6: Potential Energy and Energy Conservation

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Q1) A 1.0-kg object 2.0 m above the floor has a gravitational potential energy of 3.0 J.How much gravitational potential energy does the object have when it is 4.0 m above the floor?

A)6.0 J

B)10 J

C)20 J

D)23 J

E)39 J

Q2) An 80-kg fireman slides down a 3-meter pole by applying a frictional force against the pole using his hands.If he slides from rest and he land on the ground with a speed of 6.00 m/s,the frictional force his hands applied against the pole was

A)423 N.

B)581 N.

C)735 N.

D)305 N.

E)912 N.

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Chapter 7: Momentum and Collisions

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Q1) Consider two carts,of masses m and 2m,at rest on a frictionless air track.If you push the first cart for 3 m and then the other for the same length of distance with the same force,which cart undergoes the smallest change in momentum?

A)the cart with mass m

B)the cart with mass 2m

C)The change in momentum is the same in each case.

D)There is no change in momentum in either cart.

E)Impossible to tell.

Q2) In the movies a person hit by a bullet goes flying back from the momentum of the bullet (typically into a plate-glass window),find the final speed of a 84-kg man just after he is hit by a 44magnum bullet of mass 16 g traveling at a speed of 470 m/s.

A)0.090 m/s

B)0.25 m/s

C)5.6 m/s

D)7.5 m/s

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9

Chapter 8: Systems of Particles and Extended Objects

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Sample Questions

Q1) Contrary to advice given him,a boy tries bowling on the ice.He releases his 7.3-kg bowling ball when he is sliding at 2.0 m/s,and the ball travels subsequently down the ice at 13 m/s.If,after releasing the ball,the boy is moving backward from his original direction of motion at 0.25 m/s,what is the boy's mass?

A)36 kg

B)50 kg

C)47 kg

D)64 kg

Q2) A uniform wire is bent into a semi-circle of radius R and laid out such that it is entirely in the x-y plane .The semicircle has its ends fixed on the x axis at x = -R and x = +R.With the exception of its end points,the semicircle is entirely above the x-axis (i.e.the y-coordinates of all points on its arc are positive).What is the y coordinate of its center-of-mass?

A)2R/\(\pi\)

B)R/3

C)R/2

D)2R

E)R/F1F1F1S1 F1F1F10

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Chapter 9: Circular Motion

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Sample Questions

Q1) Two hikers begin on opposite sides of a circular lake and walk around the lake in the same direction.One walks three times as fast as the other.The circumference of the lake is L.How far does the faster hiker walk before catching up to the slower one?

A)L/3

B)L/2

C)3L/4

D)L

Q2) A centrifuge in a medical laboratory is to be operated at an angular speed of 3,600 rpm (revolutions per minute).When switched on,it rotates 72.0 times before reaching the prescribed angular speed.Find the constant angular acceleration of the centrifuge while it speeds up.

A)40.0\(\pi\) rad/s<sup>2</sup>

B)50.0\(\pi\) rad/s<sup>2</sup>

C)60.0\(\pi\) rad/s<sup>2</sup>

D)70.0\(\pi\) rad/s<sup>2</sup>

E)80.0\(\pi\) rad/s<sup>2</sup>

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Chapter 10: Rotation

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Sample Questions

Q1) A disk rotates about an axis perpendicular to the plane of the disk D = 0.593 m from the center of the disk.The disk has a mass of M = 2.6 kg and a radius of R = 1.22 m.What is the moment of inertia of the disk about this axis?

A)0 kg m<sup>2</sup>

B)1.93 kg m<sup>2</sup>

C)2.85 kg m<sup>2</sup>

D)3.87 kg m<sup>2</sup>

E)5.11 kg m<sup>2</sup>

Q2) A uniform 1-kg disk with a radius of 25 cm rolls 2 m down an incline plane angled at 25S1U1P1\(\circ\)S1S1P0.What is the speed of the disk at the bottom of the plane?

A)4.07 m/s

B)3.32 m/s

C)5.43 m/s

D)6.26 m/s

E)1.24 m/s

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Chapter 11: Static Equilibrium

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Sample Questions

Q1) A basketball is at rest on top of a smooth rounded hill.This is an example of which kind of equilibrium?

A)stable

B)unstable

C)neutral

D)None are correct.

Q2) A 5000-kg 200-m bridge is supported at both ends by pylons.A 1900-kg truck is 50 m from one end of the bridge.What force does the pylon nearest the truck exert on the bridge?

A)45,671 N

B)38,465 N

C)22,345 N

D)55,382 N

E)31,340 N

Q3) Which of the following are in static equilibrium?

A)a pendulum at the top of its swing

B)a merry-go-round spinning at constant angular velocity

C)a projectile at the top of it's trajectory with zero velocity

D)All are correct.

E)None are correct.

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Chapter 12: Gravitation

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Sample Questions

Q1) A plumb bob located at latitude 63.0S1U1P1\(\circ\)S1S1P0 north hangs motionlessly with respect to the ground beneath it.Determine the angle that the string supporting the bob makes with respect to a straight line going through the bob and the center of the Earth.

A)0S1U1P1\(\circ\)S1S1P0

B)0.10S1U1P1\(\circ\)S1S1P0

C)0.20S1U1P1\(\circ\)S1S1P0

D)0.30S1U1P1\(\circ\)S1S1P0

E)Sufficient information is not given.

Q2) A 51-kg satellite is put into orbit and has 152 MJ of kinetic energy.How high above the Earth's surface is the orbit?

A)60,400 km

B)37,000 km

C)74,000 km

D)53,100 km

E)86,200 km

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Chapter 13: Solids and Fluids

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Sample Questions

Q1) What is the change in volume of a 1.00-m<sup>3</sup> block of granite between the surface of the ocean and a 3.00 km depth? (Information that might be useful: The pressure at this depth is about 300 times atmospheric pressure.Atmospheric pressure is 1.013 * 10<sup>5</sup> Pa.The bulk modulus of granite is 5.0 * 10<sup>10</sup> Pa.)

A)-1.22 * 10<sup>-6</sup> m<sup>3</sup>

B)-6.1 * 10<sup>-4</sup> m<sup>3</sup>

C)1.22 * 10<sup>-6</sup> m<sup>3</sup>

D)4.3 * 10<sup>-2</sup> m<sup>3</sup>

E)2.5 * 10<sup>-1</sup> m<sup>3</sup>

Q2) In 1964 the freighter Al Kuwait (mass 2.02 * 10<sup>6</sup> kg)sank in Kuwait harbor.It was re-floated by filling its hull with polystyrene beads.If the density of sea water is 1025 kg/m<sup>3</sup>,the density of the beads was 28.0 kg/m<sup>3</sup>,and 30 million beads were required,what was the average radius of one of the beads? Ignore the buoyant force of the steel in the ship.

A)2.53 cm

B)6.85 cm

C)1.68 cm

D)5.45 cm

E)9.45 cm

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Page 15

Chapter 14: Oscillations

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Sample Questions

Q1) A mass of 0.404 kg is attached to a spring with spring constant 204.9 N/m.Its oscillation is damped with a damping constant of b = 15.7 kg/s.What is the angular oscillation frequency of this damped oscillation? (in rad/s)

A)8.560

B)11.385

C)15.143

D)20.140

E)26.786

Q2) A mass of 1.35 kg rests on a frictionless floor and is attached to a wall with a 25.0-cm long spring with spring constant 1250 N/m.The mass is pulled back away from the wall to stretch the spring to a length of 34.5 cm.The mass is then released.The speed of the block when the spring returns to its original (unstretched)length is

A)10.5 m/s.

B)87.8 m/s.

C)2.89 m/s.

D)1.32 m/s.

E)25.6 m/s.

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Chapter 15: Waves

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Q1) Seismic waves created by earthquakes travel both as longitudinal or compression waves and as transverse waves.These waves travel

A)along the surface of the Earth.

B)inside the volume of the Earth.

C)both along the surface and inside the volume of the Earth. D)in the air.

Q2) A 2.45-m long wire of uniform linear mass density hangs from the ceiling.How long will it takes for a pulse to travel the length of the wire?

A)2.0 s

B)2.2 s

C)0.5 s

D)0.2 s

E)1.0 s

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Chapter 16: Sound

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Q1) An automobile traveling at 45 mi/h (= 20.0 m/s)blows a horn at a constant 600 Hz.What is the frequency observed by a stationary observer as the car approaches?

A)512 Hz

B)567 Hz

C)600 Hz

D)612 Hz

E)638 Hz

Q2) A bat flying in complete darkness emits high frequency sound of 100 kHz to locate objects.The sound travels with a speed of 340 m/s in air.The wavelength of the sound produced by the bat is

A)3.4 m.

B)20.5 cm.

C)10.2 mm.

D)3.4 mm.

E)1.8 mm.

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18

Chapter 17: Temperature

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Q1) A steel rod of length 1 m is welded to the end of an aluminum rod of length 2 m (lengths are at 22S1U1P1\(\circ\)S1S1P0C).The rod combination is then heated to 200S1U1P1\(\circ\)S1S1P0C.What is the length of this rod combination at 200S1U1P1\(\circ\)S1S1P0C?

A)2.5 m

B)1.2 m

C)4.3 m

D)3.0 m

E)2.0 m

Q2) The temperature on a day in Chicago,Illinois is 263 K.What is the temperature in degrees Fahrenheit?

A)86S1U1P1\(\circ\)S1S1P0F

B)26S1U1P1\(\circ\)S1S1P0F

C)14S1U1P1\(\circ\)S1S1P0F

D)-5.0S1U1P1\(\circ\)S1S1P0F

Q3) Which is colder?

A)-40.00S1U1P1\(\circ\)S1S1P0C

B)-40.00S1U1P1\(\circ\)S1S1P0F

C)233.15 K

D)All are equal.

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Chapter 18: Heat and the First Law of Thermodynamics

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Q1) A person tries to heat up her bath water by adding 5 liters of water at T = 82S1U1P1\(\circ\)S1S1P0C to 60 liters of water at T = 30S1U1P1\(\circ\)S1S1P0C.What is the final temperature of the water?

A)31S1U1P1\(\circ\)S1S1P0C

B)32S1U1P1\(\circ\)S1S1P0C

C)33S1U1P1\(\circ\)S1S1P0C

D)34S1U1P1\(\circ\)S1S1P0C

E)35S1U1P1\(\circ\)S1S1P0C

Q2) Which of the following processes are adiabatic?

A)a truck skidding to a stop

B)an ice cube melting on a sidewalk

C)a radiator heating a room

D)a balloon inflating

E)None are correct.

Q3) In which process is there no work done on a gas?

A)isothermal

B)isochoric

C)Isobaric

D)None are correct.

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Page 20

Chapter 19: Ideal Gases

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Q1) 1.5 liters of nitrogen at 112S1U1P1\(\circ\)S1S1P0C and 2.8 atmospheres contain how many moles?

A)0.13

B)2.8

C)4.5

D)22.4

E)314

Q2) A diesel engine takes in air (\(\gamma\) = 1.4)at 20S1U1P1\(\circ\)S1S1P0C and compresses it adiabatically to 1/10 of its original volume.The final temperature of the air is

A)592S1U1P1\(\circ\)S1S1P0C.

B)509S1U1P1\(\circ\)S1S1P0C.

C)463S1U1P1\(\circ\)S1S1P0C.

D)375S1U1P1\(\circ\)S1S1P0C.

E)273S1U1P1\(\circ\)S1S1P0C.

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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Chapter 20: The Second Law of Thermodynamics

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Q1) One end of a metal rod is in contact with a reservoir at a 400 K and the other end in contact with a reservoir at 200 K.The rod and reservoirs make up a closed system.If 5500 J are conducted from one end to the other uniformly (no change in temperature along the rod)what is the change in entropy of the 200 K reservoir?

A)27.5 J/K

B)10.5 J/K

C)13.8 J/K

D)0.00 J/K

E)8.56 J/K

Q2) A solid mass of aluminum is at its melting point.During the melting process,the change in entropy of the aluminum is 9.11 * 10<sup>-3</sup> kJ/K.What is the mass of the aluminum?

A)20.0 g

B)28.9 g

C)23.7 g

D)21.4 g

E)26.3 g

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Chapter 21: Electrostatics

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Q1) A small charged ball with a mass of 40 g is suspended from the ceiling on a string.The ball is suspended a distance of 7.0 cm above an insulating floor.If a second small ball with a mass of 50 g and a charge of -0.60 \(\mu\)C is placed on the floor directly beneath the first ball and the tension in the string is 1.00 N,what is the charge on the ball attached to the string?

A)0.96 \(\mu\)C

B)0.55 \(\mu\)C

C)0.72 \(\mu\)C

D)1.3 \(\mu\)C

E)0.30 \(\mu\)C

Q2) A 3.0 µC charge lies 10.0 cm to the right of a 2.0 µC on the x-axis.What is the magnitude of the force on the 2.0 µC charge?

A)2.4 N

B)4.8 N

C)5.4 N

D)6.7 N

E)7.9 N

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Page 23

Chapter 22: Electric Fields and Gausss Law

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Q1) A cannon shoots a charged,5.0-kg cannon ball at some angle above horizontal ground in a region in which the electric field is given by 12.0 N/C ,while gravitational acceleration is straight down,-9.8 m/s<sup>2</sup> .If the ball travels half the distance it would have if there were no electric field,what is the charge on the cannon ball?

A)+ 4.1C

B)-4.1C

C)+ 12C

D)-12C

E)Cannot answer-the angle of launch is needed.

Q2) A point charge q is located at the center of a sphere of radius R.Also concentrically inside the sphere is a uniform ring having linear charge density \(\lambda\) and radius a (a &lt;R).The flux through the sphere is A)q/\(\varepsilon\)<sub>0</sub>.

B)(q + \(\lambda\)*2\(\pi\)a)/\(\varepsilon\)<sub>0</sub>. C)(q - \(\lambda\)*2\(\pi\)a)/\(\varepsilon\)<sub>0</sub>. D)0.

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Chapter 23: Electric Potential

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Q1) The amount of work done to move a positive charge Q on an equipotential surface of 1000 V compared to that on an equipotential surface of 10 V is A)the same.

B)less.

C)more.

D)dependent on distance travelled.

Q2) Four identical point charges (+ 2.50 nC)are placed at the corners of a rectangle which measures 2.00 m * 4.00 m.If the electric potential is taken to be zero at infinity,what is the potential at the geometric center of this rectangle?

A)8.99 V

B)19.9 V

C)20.1 V

D)30.0 V

E)40.2 V

Q3) Equipotential lines and electric field lines are always A)disjoint.

B)parallel.

C)perpendicular.

D)None are correct.

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Chapter 24: Capacitors

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Q1) Three capacitors of capacity 4,6,and 8 µF are connected in series with a battery of 13 V.The potential difference across the 6-µF capacitance is

A)4 V.

B)6 V.

C)8 V.

D)9 V.

E)10 V.

Q2) A parallel plate capacitor has square plates of side L = 12 cm,and a distance d = 2 cm between the plates.Half of the capacitor area is filled with a dielectric of with k<sub>1</sub>= 35.The other half is filled with a different dielectric with k<sub>2</sub> = 8.The effective (equivalent)capacitance of the capacitor is

A)6.4 * 10<sup>-12</sup>

B)3.2 * 10<sup>-12</sup>

C)2.7 * 10<sup>-10</sup>

D)1.4 * 10<sup>-10</sup>

E)1.1 * 10<sup>-10</sup>

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Chapter 25: Current and Resistance

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Q1) When two resistors are connected in series across a 12-V battery,1.1A flows.When they are connected in parallel across the same battery,6.3A flows.What is the smaller resistor's value?

A)2.5 \(\varOmega\)

B)8.4 \(\varOmega\)

C)1.7 \(\varOmega\)

D)0.55\(\varOmega\)

Q2) A 12.0-V battery is connected to a 7.54-ohm resistor and a current of 0.999A is measured to flow through the resistor.How much power is dissipated as heat inside the battery?

A)zero

B)4.47 W

C)7.10 W

D)12.0 W

E)19.1 W

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Chapter 26: Direct Current Circuits

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Q1) A 9.0000-V battery is used to produce a current through two identical resistors in series,each having a resistance of 150.00 k .A handheld digital multimeter (DMM)is used to measure the potential difference across the first resistor by placing probe leads at each end of this resistor.Typical DMMs have an internal resistance of 10 M\(\varOmega\).What is the potential difference that the DMM measures across the first resistor?

A)4.500 V

B)4.467 V

C)4.534 V

D)4.425 V

E)4.628 V

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 capacitor 0.16 seconds after the circuit is connected to the battery?

A)14 V

B)12 V

C)15 V

D)9.9 V

E)8.6 V

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Chapter 27: Magnetism

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Q1) A proton with an initial velocity of (1.0x + 2.0y + 3.0z)x 10<sup>5</sup> m/s enters a magnetic field of 0.50z T.Find the radius of the resulting helix.The mass of the proton is 1.67 * 10<sup>27</sup> kg.Where x,y and z are unit vectors in the x,y and z directions,respectively.

A)4.7 mm

B)6.3 mm

C)7.8 mm

D)10.mm

E)27 mm

Q2) An electron with a speed of 6.0 * 10<sup>5</sup> m/s enters a uniform magnetic field of 0.060 T at an angle of 25S1U1P1\(\circ\)S1S1P0 to the magnetic field lines.The electron will travel in a helical path.What is the radius of the helical path?

A)1.3 * 10<sup>-5</sup> m

B)2.4 * 10<sup>-5</sup> m

C)4.8 * 10<sup>-5</sup> m

D)5.7 *10<sup>-5</sup> m

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Chapter 28: Magnetic Fields of Moving Charges

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Q1) Proton A travels northward with a constant velocity.Due north of proton A is proton B,traveling to the east at a different constant velocity.In what direction is the magnetic force on B?

A)to the south

B)to the west

C)upward,out of the ground

D)down into the ground

E) There is no force on B.

Q2) A long solenoid (diameter = 5.00 cm)is wound with 2000 turns per meter of thin wire through which a constant current is maintained.A wire carrying 8.50 A is inserted along the axis of the solenoid.The magnitude of the magnetic field at a point 5.00 mm from the axis is 0.650 mT.What is the current through the solenoid?

A)0.292 A

B)517 A

C)0.220 A

D)7.80 mA

E)22.7 A

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Chapter 29: Electromagnetic Induction

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Q1) A 1.1-H solenoid is fed by a direct current of 25A. Then the power source is disconnected.Then the two ends of the solenoid are directly connected by a wire.How many Joules of heat are produced if all of the energy that was stored goes into heating the wire?

A)1.4 J

B)344 J

C)0 J

D)2.6 kJ

Q2) Electrons are circulating in a 0.58 m diameter cyclotron orbit in a uniform magnetic field of 1.1 T.One can think of these circulating electrons as a circular current loop with the same diameter.The magnetic field is then rapidly increased at a constant rate of 2.5 T/s.What is the magnitude of the induced electric field causing the electrons to increase their speed 25 ms after the magnetic field begins increasing? This is the basis for accelerating electrons in a betatron.

A)0.018 V/m

B)0.36 V/m

C)0.73 V/m

D)7.0 V/m

E)14 V/m.

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Page 31

Chapter 30: Alternating Current Circuits

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Q1) An AC power supply puts out a voltage V = 170sin(2\(\pi\)60t)and is connected to a resistor R = 20 .What is the power in W dissipated in the resistor?

A)100

B)310

C)720

D)1000

E)2000

Q2) The total amount of energy stored in an LC series circuit is 8.00 J.When the current through the inductor is equal to half its maximum value,how much energy is stored in the electric field?

A)2.00 J

B)4.00 J

C)6.00 J

D)8.00 J

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Chapter 31: Electromagnetic Waves

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Q1) A parallel plate capacitor with radius 21 cm is connected in series with a 15-V battery.A switch is thrown which causes the capacitor to discharge through a 150-\(\varOmega\) resistor.What is the displacement current between the plates at this time?

A)0.10 A

B)0.20 mA

C)0.14 A

D)You need to know the separation of the plates.

Q2) A cell phone transmits 2.0 W of power at 380 MHz in a spherical pattern.What is the rms value of the electric field on the electron in the receiving antenna,located 3.0 km away?

A)1.5 * 10S1U1P1-7S1S1P0 V/m

B)6.8 * 10S1U1P1-6S1S1P0 V/m

C)1.3 * 10S1U1P1-4S1S1P0 V/m

D)2.6 * 10S1U1P1-3S1S1P0 V/m

E)2.3 V/m

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Chapter 32: Geometric Optics

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Q1) A beam of light enters a liquid solution from air at an angle of 35S1U1P1\(\circ\)S1S1P0 with the normal to its surface.The refracted beam makes an angle of 24S1U1P1\(\circ\)S1S1P0 to the normal of the liquid.What is the index of refraction for the liquid?

A)1.1

B)1.4

C)1.5

D)1.7

E)2.0

Q2) What is the speed of light in an optical fiber whose index of refraction is 1.265?

A)1.539 * 10<sup>8</sup> m/s

B)1.828 * 10<sup>8</sup> m/s

C)2.372 * 10<sup>8</sup> m/s

D)2.651 * 10<sup>8</sup> m/s

Q3) Which kind of curved mirror never suffers from spherical aberration?

A)convex

B)concave

C)circular

D)None are correct.

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Page 34

Chapter 33: Lenses and Optical Instruments

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Q1) A converging lens always has a

A)large index of refraction.

B)small index of refraction.

C)focal length greater than zero.

D)focal length less than zero.

Q2) The typical length of a human eyeball is 1.7 cm.What is the effective focal length of the two lens system made from a normal person's cornea and lens when viewing objects very far away?

A)1.6 cm

B)1.7 cm

C)2.9 cm

D)3.4 cm

E)25 cm

Q3) An object is 6.0 cm from a thin lens along the axis of the lens.If the lens has a focal length of 9.0 cm,determine the image magnification. A)-3

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Chapter 34: Wave Optics

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Q1) Blue light ( \(\lambda\)<sub>vac</sub> = 440 nm )shines onto a plane of glass (n<sub>glass</sub> = 1.50).There is a thin layer of oil (n = 1.47)on top of this glass.What is the minimum thickness of the oil if there is constructive interference for the light?

A)74.8 nm

B)82.7 nm

C)110 nm

D)150 nm

E)165 nm

Q2) X-rays are directed toward a crystal.The first order diffraction peak appears at 11S1U1P1\(\circ\)S1S1P0for certain crystallographic planes.The separation between the planes is 0.512 nm.What is the wavelength of the x-rays?

A)0.312 nm.

B)0.216 nm.

C)0.183 nm.

D)0.195 nm.

E)0.140 nm

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Chapter 35: Relativity

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Q1) If our Sun were to suddenly explode,how long after the explosion would it take observers on Earth to notice?

A)0 s

B)10 s

C)3 minutes

D)5 minutes

E)8 minutes

Q2) A spaceship is traveling directly towards a stationary asteroid with a speed equal to one-half of the speed of light as measured by someone on the asteroid.The spaceship turns on its headlights and the light is observed by the crew of the spaceship and by the person on the asteroid.Compare the speed of the light as observed by someone on the spaceship to the speed of the light as observed by someone on the asteroid.

A)The crew of the spaceship observes the light traveling faster.

B)The person on the asteroid observes the light traveling faster.

C)Everyone measures the speed of the light to be the same.

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Chapter 36: Quantum Physics

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Q1) Assume all the power consumed by a 75 W light bulb is emitted by the filament,which you can treat as a black-body.Treat the filament as a cylinder of diameter 1.0 mm and length 1.5 cm.What is the temperature of the filament?

A)1300 K

B)2300 K

C)2500 K

D)3100 K

E)18,000 K

Q2) Which of the following has the smallest deBroglie wavelength?

A)an electron travelling at 80% the speed of light

B)a proton travelling at 20% the speed of light

C)a carbon nucleus travelling at 70% the speed of light

D)a helium nucleus travelling at 80% the speed of light

E)a lithium nucleus travelling at 50% the speed of light

Q3) The Pauli exclusion principle applies to

A)fermions only.

B)bosons only.

C)both fermions and bosons.

D)electrons only.

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Page 38

Chapter 37: Quantum Mechanics

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Q1) Determine the ground state energy of a proton in a box of width 1.0 * 10<sup>-9</sup> m.

A)2.1 * 10<sup>-4</sup> eV

B)2.1 * 10<sup>-3</sup> eV

C)2.1 * 10<sup>-2</sup> eV

D)2.1 * 10<sup>-1</sup> eV

Q2) A neutron of kinetic energy is E = 22.4 MeV,the height of the potential energy barrier is U<sub>1</sub> = 36.2 MeV and the width of the barrier is b - a = 8.4 fm.The kinetic energy of the neutron is increased by 20.0%.The neutron's probability of tunneling through the barrier increases by a factor of A)6.01.

B)11.5.

C)8.24.

D)12.3.

E)10.6.

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Chapter 38: Atomic Physics

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Q1) The frequency of rotation of electron on the second Bohr orbit is

A)3.67 * 10<sup>14</sup> Hz

B)8.20 * 10<sup>14</sup> Hz

C)9.03 * 10<sup>14</sup> Hz

D)6.44 * 10<sup>14</sup> Hz

E)1.27 * 10<sup>15</sup> Hz

Q2) An excited hydrogen atom emits a photon with an energy of 0.661 eV.What was the final state of the hydrogen atom after emitting the photon?

A)n = 1

B)n = 2

C)n = 3

D)n = 4

E)n = 5

Q3) What is the energy of the photon required to knock the electron out of a singly ionized Helium atom where the electron was in the n = 4 state?

A)3.4 eV

B)1.7 eV

C)10.2 eV

D)51 eV

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Page 40

Chapter 39: Elementary Particle Physics

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Q1) An electron-positron pair traveling towards each other with a speed of 0.95 c with respect to their center of mass,collide and annihilate according to e<sup>-</sup> + e<sup>+</sup> \(\rarr\) \(\gamma\) + \(\gamma\).Assuming the observer is at rest with respect to the center of mass of the electron-positron pair,what is the frequency of the photons?

A)9.89 * 10<sup>19</sup> Hz

B)9.02 * 10<sup>18</sup> Hz

C)5.13 * 10<sup>20</sup> Hz

D)7.25 * 10<sup>19</sup> Hz

E)3.95 * 10<sup>20</sup> Hz

Q2) Determine the approximate probing distance of a photon with a minimum energy of 4.0 keV.

A)1.3 * 10<sup>4</sup> fm

B)3.7 * 10<sup>4</sup> fm

C)4.9 * 10<sup>4</sup> fm

D)5.1 * 10<sup>4</sup> fm

E)1.3 * 10<sup>9</sup> fm

Q3) Compared to the elementary charge,Planck charge is about 12 times larger.

A)False

B)True

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Chapter 40: Nuclear Physics

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Q1) Betelgeuse has a luminosity (power radiated)135,000 times that of the Sun,which emits energy at the rate of 3.906 * 10<sup>26</sup> W.How much of its mass is being converted to energy in each year?

A)1.85 * 10<sup>22</sup> kg

B)7.70 * 10<sup>20</sup> kg

C)1.37 * 10<sup>17</sup> kg

D)5.85 * 10<sup>14</sup> kg

E)5.06 * 10<sup>19</sup> kg

Q2) What is the surface area,approximately,of a Lead-208 nucleus (Z = 82)?

A)550 fm<sup>2</sup>

B)140 fm<sup>2</sup>

C)440 fm<sup>2</sup>

D)74 fm<sup>2</sup>

E)120 fm<sup>2</sup>

Q3) Which of the following would you expect to decay via b<sup>+</sup> decay?

A)<sup>12</sup>C

B)<sup>132</sup>Sn

C)<sup>56</sup>Fe

D)<sup>74</sup>Kr

E)<sup>17</sup>N

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