Physics 106N - How Things Work - Spring, 1997

Final Examination

PART I: MULTIPLE CHOICE QUESTIONS 

Please mark the correct answer for each question on the bubble sheet. Fill in the dot completely with #2 pencil. Part I is worth 67% of the grade on this examination.

Problem 1: 

You throw a softball straight up. Neglecting any effects of air resistance, the ball experiences the following force or forces after it leaves your hand and before it hits the ground:

(A) its weight and a gradually decreasing upward force that appears just after the ball leaves your hand and that diminishes to zero when the ball reaches its peak height.

(B) its weight and a gradually decreasing upward force that appears just after the ball leaves your hand.

(C) a gradually decreasing upward force that appears just after the ball leaves your hand and that diminishes to zero when the ball reaches its peak height, and a gradually increasing downward force of gravity that appears just after the ball reaches its peak and that increases as it descends.

(D) its weight.

Answer: (D) its weight. 

Problem 2: 

When you bounce a tennis ball off a concrete wall, the ball

(A) retains essentially all of its energy and momentum.

(B) retains essentially all of its energy but transfers a great deal of momentum to the wall.

(C) transfers a great deal of momentum and energy to the wall.

(D) retains essentially all of its momentum but transfers a great deal of energy to the wall.

Answer: (B) retains essentially all of its energy but transfers a great deal of momentum to the wall. 

Problem 3: 

When a xerographic copier first applies electric charges to the surface of its photoconductor, it does so in the dark. The reason for applying these charges in the dark is that light exposure would

(A) allow the charges to flow through the photoconductor so that they wouldn't accumulate on its surface.

(B) release magnetic poles that would cancel the electric charges.

(C) cause the magnetic poles to move, generating electricity that would neutralize the electric charges.

(D) expand the coherence of the waves and prevent the charges from forming a real image on the surface.

Answer: (A) allow the charges to flow through the photoconductor so that they wouldn't accumulate on its surface. 

Problem 4: 

You toss a tennis ball directly upward and watch it rise to its peak height. At the moment that it reaches that peak height, its velocity is

(A) zero and its acceleration is zero.

(B) downward and its acceleration is downward.

(C) downward and its acceleration is zero.

(D) zero and its acceleration is downward.

Answer: (D) zero and its acceleration is downward. 

Problem 5: 

When making glass, it's important to cool the liquid glass through its melting temperature and below fairly quickly in order to

(A) keep the glass from turning dark.

(B) keep the glass from becoming too thick to work with.

(C) prevent crystals from nucleating and growing.

(D) prevent stresses from developing in the glass.

Answer: (C) prevent crystals from nucleating and growing. 

Problem 6: 

There is a metal screen on the front window of a microwave oven. This screen is essential because it

(A) prevents electric charge from accumulating on the window.

(B) protects the window from splatters that may occur when food inside the oven boils.

(C) reflects microwaves and keeps them inside the oven.

(D) prevents the glass from breaking in response to the rapid heating of its inner surface and the thermal stresses that result.

Answer: (C) reflects microwaves and keeps them inside the oven. 

Problem 7: 

You are observing a distant ship with a telescope but you can't quite read the ship's name. To increase the magnification of the telescope, you replace the eyepiece with one having a

(A) larger aperture than before.

(B) smaller aperture than before.

(C) shorter focal length than before.

(D) longer focal length than before.

Answer: (C) shorter focal length than before. 

Problem 8: 

When you record music on a blank audio tape, the tape appears unchanged. However, something has happened to the tape:

(A) north magnetic poles have been deposited on its surface.

(B) south magnetic poles have been deposited on its surface.

(C) its surface has been magnetized alternately back and forth.

(D) an electric current has been induced in the tape, making it magnetic.

Answer: (C) its surface has been magnetized alternately back and forth. 

Problem 9: 

Which of the following objects is experiencing the largest net force toward the east?

(A) a bullet that is traveling eastward shortly after being fired from a gun.

(B) a westward-bound car that is stopping at a light.

(C) a cannonball that is traveling eastward shortly after being fired from a cannon.

(D) a stationary building that you are pushing toward the east as hard as you can.

Answer: (B) a westward-bound car that is stopping at a light. 

Problem 10: 

An engineer at the company you're working for has just reported finding an unusual electromagnetic wave. This wave consists only of an electric field, with no magnetic field accompanying it. You are certain that the engineer is mistaken because

(A) an electromagnetic wave must have a magnetic field that changes with time to produce its electric field.

(B) electromagnetic waves always contain both electric charges and magnetic poles, and magnetic poles are accompanied by magnetic fields.

(C) electromagnetic waves contain moving electric charges and charges produce magnetic fields when they move.

(D) while waves consisting only of electric fields are common and travels indefinitely through space, they are known as "electric waves," not "electromagnetic waves."

Answer: (A) an electromagnetic wave must have a magnetic field that changes with time to produce its electric field. 

Problem 11: 

An FM radio station instructs your radio receiver how to move its speaker cone by varying the

(A) amount of electric charge it pushes up and down its antenna.

(B) amplitude of the radio wave it produces.

(C) strength of the electric and magnetic fields in the radio wave it produces.

(D) frequency of the radio wave it produces.

Answer: (D) frequency of the radio wave it produces. 

Problem 12: 

The image that you see on the front surface of a typical television is created when

(A) electric currents flowing through the inside surface of the screen heat small regions of phosphor hot enough to emit light.

(B) electromagnetic waves from the television's transmitter are focused on the phosphors inside the front surface of the picture tube and cause those phosphors to glow.

(C) a laser beam scans rapidly across the inside of the front surface of the picture tube.

(D) rapidly moving electrons from the back of the picture tube collide with phosphors inside its front surface.

Answer: (D) rapidly moving electrons from the back of the picture tube collide with phosphors inside its front surface. 

Problem 13: 

You are pushing a file cabinet across the floor in a straight line at a steady speed. Which of the following statements about the forces acting on the file cabinet is correct?

(A) The magnitude of the force that you're exerting on the file cabinet must be equal to the magnitude of the force that friction is exerting on it.

(B) If you were to exert twice as much force on the file cabinet, it would slide across the floor at twice its original speed.

(C) The magnitude of the force that you're exerting on the file cabinet must be more than the magnitude of the force that friction is exerting on it.

(D) The amount of forward force you are exerting on the file cabinet must be more than its weight.

Answer: (A) The magnitude of the force that you're exerting on the file cabinet must be equal to the magnitude of the force that friction is exerting on it. 

Problem 14: 

A capacitor is an electronic device that contains two metal surfaces that are separated by a thin layer of insulation. Suppose that you have a large capacitor that has no overall net charge. If you wanted to see whether the capacitor is storing electrostatic potential energy, you could

(A) hold the capacitor in your hand and see if your hair stands up.

(B) hold a magnet near the capacitor and see of that magnet is attracted toward the capacitor.

(C) provide a conducting path from one metal surface to the other and see if an electric current flows through that path.

(D) hold a compass near the stationary capacitor and see if the compass needle deflects.

Answer: (C) provide a conducting path from one metal surface to the other and see if an electric current flows through that path. 

Problem 15: 

Vegetable oil and Pyrex glass have almost exactly the same indices of refraction-the speed of light is the same in both materials. If you submerge a clear Pyrex dish in vegetable oil,

(A) the Pyrex dish will be virtually invisible because no light will reflect from its surfaces.

(B) you will see a pattern of beautiful rainbow colors in the glass as dispersion separates white light.

(C) the Pyrex dish will act as a lens and you will see highly distorted images of objects beyond the dish.

(D) the surfaces of the Pyrex will appear mirror-like-reflecting light perfectly as the result of total internal reflection.

Answer: (A) the Pyrex dish will be virtually invisible because no light will reflect from its surfaces. 

Problem 16: 

While small satellite dishes are cheaper and easier to install than large satellite dishes, the larger dishes

(A) don't require such high-tech materials and can be made with conventional metals rather than special graphite composites.

(B) don't collect more microwaves but are better able to distinguish between the microwaves from two nearby satellites.

(C) collect more microwaves but are not more capable of distinguishing between the microwaves from two nearby satellites.

(D) collect more microwaves and are better able to distinguish between the microwaves from two nearby satellites.

Answer: (D) collect more microwaves and are better able to distinguish between the microwaves from two nearby satellites. 

Problem 17: 

There is a simple explanation for why bluer "cool white" fluorescent lamps are slightly more energy efficient than redder "warm white" lamps. It's because

(A) a phosphor wastes more energy when converting an ultraviolet photon into red light than into blue light.

(B) bluer lamps use higher currents and smaller voltages than redder lamps.

(C) bluer lamps operate at higher temperatures than redder lamps and produce less invisible infrared light as a result.

(D) bluer lamps use higher voltages and smaller currents than redder lamps.

Answer: (A) a phosphor wastes more energy when converting an ultraviolet photon into red light than into blue light. 

Problem 18: 

Which of the following materials is most appropriate for making an elastic coil spring?

(A) 18-8 (austenitic) stainless steel.

(B) Pure iron.

(C) Iron carbide.

(D) Tempered carbon steel.

Answer: (D) Tempered carbon steel. 

Problem 19: 

You are watching children play a game of tug-o-war with an old plastic clothesline. The two teams are pulling at opposite ends of the cord and each team is trying to drag the other team into a mud puddle that lies between them. After a few minutes without progress, the team on the right suddenly pulls hard toward the right. The team on the left has anticipated this threat and is able to keep their end of the rope completely motionless. The right end of the rope stretches toward the right and the rope breaks. Breaking the rope required energy and that energy was provided by

(A) the team on the left.

(B) both teams.

(C) neither team. It was instead provided by chemical potential energy in the rope itself.

(D) the team on the right.

Answer: (D) the team on the right. 

Problem 20: 

You place an aluminum soda can on a hard floor and step on it with your foot, crushing it flat. The act of crushing the can

(A) decreases the can's total energy.

(B) has an undeterminable effect on the can's total energy.

(C) leaves the can's total energy unchanged.

(D) increases the can's total energy.

Answer: (D) increases the can's total energy. 

Problem 21: 

Some fiber optic communication systems use laser amplification to boost the intensity of light pulses passing through an optical fiber. A short segment of laser amplifier fiber is spliced into the main fiber so that the light pulses must pass through the laser amplifier fiber on their way to their destination. The light emerging from the laser amplifier fiber is much brighter than it was when it entered. One interesting aspect of the light emerging from the laser amplifier fiber is that it

(A) has the same color as the light entering the amplifier fiber.

(B) is slightly redder than the light entering the amplifier fiber-its wavelength is longer.

(C) is slightly bluer than the light entering the amplifier fiber-its wavelength is shorter.

(D) travels faster than the light entering the amplifier fiber.

Answer: (A) has the same color as the light entering the amplifier fiber. 

Problem 22: 

You have just put fresh batteries in your flashlight and it's working nicely. Now suppose that you remove all of the batteries and reinsert them backward. Despite the fact that their positive and negative terminals are reversed, the batteries connect properly to one another and to the flashlight, so that there are no connection problems in the flashlight. As the result of this battery reversal, the flashlight will

(A) work in reverse, lighting up when you put its switch in the "off" position and not lighting up when you put its switch in the "on" position.

(B) remain lit regardless of the position of its on-off switch.

(C) not light up at all, regardless of the position of its on-off switch.

(D) work normally, lighting when you switch it "on" and turning off when you switch it "off."

Answer: (D) work normally, lighting when you switch it "on" and turning off when you switch it "off." 

Problem 23: 

Your friends have talked you into jumping off the high diving board. You are quite nervous about hurting yourself when you hit the water, so you decide to make sure that your speed is a small as possible when you reach the water's surface. Of the following ways to leave the diving board, which one will give you the smallest speed when you reach the water?

(A) Running as quickly as possible off the board.

(B) Hooking your toes around the end of the board and pulling yourself downward as you walk off the board.

(C) Walking as slowly as possible off the board.

(D) Jumping upward as you walk off the board.

Answer: (C) Walking as slowly as possible off the board. 

Problem 24: 

A glass fiber can act as a pipe for light-light that enters the fiber at its end follows the fiber almost indefinitely without escaping through the fiber's surface. The light follows the fiber because

(A) electric charges in the glass attract the light and prevent it from accelerating outward, away from the center of the fiber.

(B) the fiber contains many tiny diverging lenses that focus the light back into the fiber over and over again.

(C) whenever it tries to leave the glass at a shallow angle, it's perfectly reflected.

(D) the fiber contains many tiny converging lenses that focus the light back into the fiber over and over again.

Answer: (C) whenever it tries to leave the glass at a shallow angle, it's perfectly reflected. 

Problem 25: 

Many sophisticated cameras have zoom lenses. When you select the telephoto setting, the objects in front of you appear much closer. In this setting,

(A) the focal length of the lens is shorter than normal.

(B) the aperture of the lens is larger than normal.

(C) the focal length of the lens is longer than normal.

(D) the aperture of the lens is smaller than normal.

Answer: (C) the focal length of the lens is longer than normal. 

Problem 26: 

When a beam of charged particles that's flowing through space enters a stationary magnetic field, the beam's speed

(A) decreases.

(B) increases.

(C) doesn't change.

(D) increases or decreases, depending on the direction of the magnetic field.

Answer: (C) doesn't change. 

Problem 27: 

In a well-designed water-cooled thermal fission reactor, the water is acting as a moderator for the neutrons. If some of this water is lost, the chain reaction in the reactor core will slow down because neutrons in the reactor core will

(A) remain positively charged and will not be able to cause uranium 235 nuclei to fission.

(B) not be magnetic enough to stick to uranium 235 nuclei and cause them to fission.

(C) be traveling too fast and will be absorbed by uranium 238 nuclei.

(D) be traveling too slowly and will be unable to cause uranium 235 nuclei to fission.

Answer: (C) be traveling too fast and will be absorbed by uranium 238 nuclei. 

Problem 28: 

The motor that turns the blades of a typical house fan is an induction motor. The motor's rotor-its rotating component-is an aluminum object that has no wires connected to it at all. A typical fan motor has two speeds, high and low. The reason that the rotor turns faster in the high speed setting is that

(A) the electromagnets around the rotor have both north and south poles in the high speed setting while they have only north poles in the low speed setting.

(B) the magnetic poles created by the electromagnets around the rotor circle the rotor faster in the high speed setting.

(C) the electromagnets around the rotor have both north and south poles in the high speed setting while they have only south poles in the low speed setting.

(D) alternating current is used for the high speed setting while direct current is used for the low speed setting.

Answer: (B) the magnetic poles created by the electromagnets around the rotor circle the rotor faster in the high speed setting. 

Problem 29: 

The rubber in a car tire cannot be recycled because

(A) its polymer strands are cross-linked and it can't melt.

(B) rubber decomposes before it melts.

(C) tire rubber never hardens fully once it has been melted.

(D) the polymer strands in tire rubber are so long that they can't be disentangled for recycling.

Answer: (A) its polymer strands are cross-linked and it can't melt. 

Problem 30: 

The sky is blue because

(A) tiny particles in the air are more efficient at scattering short wavelength light than they are at scattering long wavelength light.

(B) most polluting gases and dust particles in the air are bluish in color and lend their color to that of the sky.

(C) air molecules absorb red light more efficiently than they do blue light because of their electron orbitals.

(D) air molecules absorb blue light more efficiently than they do red light because of their electron orbitals.

Answer: (A) tiny particles in the air are more efficient at scattering short wavelength light than they are at scattering long wavelength light. 

Problem 31: 

You are trying to move a heavy air conditioner up the front steps and into a building. The air conditioner is resting on a cart with wheels. You can either roll it up a steep ramp beside the steps themselves or up a long, gradual handicap access ramp nearby. If you roll the air conditioner up the handicap access ramp, the amount of work you will do on the air conditioner will be

(A) more than if you had rolled it up the steeper ramp.

(B) the same as if you had rolled it up the steeper ramp.

(C) much less than if you had rolled it up the steeper ramp.

(D) slightly less than if you had rolled it up the steeper ramp.

Answer: (B) the same as if you had rolled it up the steeper ramp. 

Problem 32: 

The plastics used in most ropes are in the elastic regime of behavior. When you pull on these ropes, they stretch somewhat but do not break. The extent to which one of these ropes stretches is limited principally by the

(A) elasticity of the bonds holding the atoms in the plastic's polymer strands together.

(B) numbers of atoms in the backbones of the plastic's polymer strands.

(C) lengths of the plastic's polymer strands.

(D) entanglements of the plastic's polymer strands.

Answer: (D) entanglements of the plastic's polymer strands. 

Problem 33: 

If you "cook" a compact disc briefly in a microwave oven,

(A) nothing significant happens.

(B) it becomes permanently magnetized.

(C) it vibrates back and forth violently in response to the fluctuating electric field.

(D) it becomes hot enough to soften and sparks leap about its surface.

Answer: (D) it becomes hot enough to soften and sparks leap about its surface. 

Problem 34: 

The tubes in fluorescent lamps have a white powder on their inner surfaces. This powder

(A) conducts electricity from one electrode to the other and emits white light as current passes through it.

(B) slows down the white light produced by the gas atoms inside the tube so that less of that white light reflects as it passes through the walls of the tube.

(C) scatters the white light produced by the gas atoms inside the tube so that it is both vertically and horizontally polarized and doesn't cause glare.

(D) absorbs ultraviolet light and uses the energy from that light to produce white light.

Answer: (D) absorbs ultraviolet light and uses the energy from that light to produce white light. 

Problem 35: 

Computers of the 1960's were often refrigerator-sized or larger. These big computers had to operate more slowly than smaller modern computers because

(A) the bigger, more massive computers vibrated more slowly than smaller, less massive modern computers and they had slower clock rates as a result.

(B) the big computers were more massive than modern computers and accelerated more slowly. This slow acceleration reduced their peak speeds.

(C) bigger computers have more inertia than smaller computers and respond less rapidly to electric signals.

(D) it took so long for electric signals to travel between various points within the big computers.

Answer: (D) it took so long for electric signals to travel between various points within the big computers. 

Problem 36: 

A good camera lens contains optical components in which two pieces of glass are glued directly together to form a single transparent object. These two-element optical components are important because they

(A) bend light more efficiently than simple lenses.

(B) reflect less light than simple lenses.

(C) have larger depths of focus than simple lenses.

(D) avoid the color focusing problems of simple lenses.

Answer: (D) avoid the color focusing problems of simple lenses. 

Problem 37: 

When a narrow laser beam passes through a fine wire mesh before arriving at the wall, it forms a complicated pattern of bright spots on the wall. This pattern of spots would not occur if you sent a flashlight beam through the mesh because light from the flashlight

(A) is not a single electromagnetic wave.

(B) can't be sent through a single opening of the mesh.

(C) is horizontally polarized, while laser light is vertically polarized.

(D) is vertically polarized, while laser light is horizontally polarized.

Answer: (A) is not a single electromagnetic wave. 

Problem 38: 

While low pressure sodium vapor lamps are the most energy efficient light sources commonly available, producing a pure orange-yellow light with a wavelength of 590 nanometers, high pressure sodium vapor lamps produce a richer spectrum of light that is more pleasing to the eye. One effect that contributes to this richer spectrum is

(A) radiation trapping-in which the 590 nanometer light has trouble escaping from the lamp.

(B) interference-in which light traveling to your eye via several paths within the lamp becomes brighter or darker, depending on how its electric fields interact with one another.

(C) thermionic emission-in which electrons in the hot electrodes enter the gas of the discharge.

(D) dispersion-in which the different colors of light travel at different speeds within the lamp.

Answer: (A) radiation trapping-in which the 590 nanometer light has trouble escaping from the lamp. 

Problem 39: 

When uranium undergoes fission, it releases an enormous amount of energy. That energy was stored in the uranium nuclei as

(A) kinetic energy in the nucleons.

(B) electrostatic potential energy-in the electrostatic forces between nucleons.

(C) gravitational potential energy-in the gravitational forces between nucleons.

(D) nuclear potential energy-in the nuclear forces between nucleons.

Answer: (B) electrostatic potential energy-in the electrostatic forces between nucleons. 

Problem 40: 

A fisherman casts his fishing rod by swinging its tip in an arc from behind him to in front of him. The rod's handle barely moves as the tip moves, so the rod undergoes rotational motion. The time it takes to complete the cast is determined principally by the rod's

(A) moment of inertia and the force exerted on it by the fisherman.

(B) mass and the torque exerted on it by the fisherman.

(C) mass and the force exerted on it by the fisherman.

(D) moment of inertia and the torque exerted on it by the fisherman.

Answer: (D) moment of inertia and the torque exerted on it by the fisherman. 

Problem 41: 

You are watching a baseball game and the pitcher has just thrown the ball toward the batter at home plate. Once the ball has left the pitcher's hand and is heading forward toward home plate, it experiences

(A) a forward horizontal force that remains constant all the way to home plate.

(B) a forward horizontal force until it reaches the midpoint of its trip to home plate and then a backward horizontal force for the remainder of its trip.

(C) no horizontal force in the forward direction.

(D) a forward horizontal force that diminishes gradually as the ball approaches home plate.

Answer: (C) no horizontal force in the forward direction. 

Problem 42: 

You are hosting a romantic candlelight dinner in your room, but you forgot to buy the candles and all the stores are closed. Your desk lamp is too white and too bright to provide the right ambience, so you modify it by inserting a diode between one of the power wires and the bulb. As the result of this change, the lamp emits a reddish glow that's roughly half a bright as without the diode. Just for fun, you reverse the diode so that the end that used to connect to the power wire is now connected to the bulb and vice versa. As the result of this reversal, the lamp

(A) emits a deep reddish glow that roughly half as bright as before you reversed the diode and a quarter as bright as without the diode at all.

(B) emits a brilliant bluish glow that's roughly twice as bright as without the diode.

(C) still emits the same reddish glow that it emitted before you reversed the diode.

(D) no longer glows at all because no current flows through the diode.

Answer: (C) still emits the same reddish glow that it emitted before you reversed the diode. 

Problem 43: 

Thomas Edison's dominance in the electric power industry was struck a serious blow when his competitors, Nikola Tesla and George Westinghouse, began to use transformers with their alternating current (AC) electric power systems. Edison was unable to use transformers in his direct current (DC) electric power systems because

(A) Tesla and Westinghouse held the U.S. patent rights to transformers and prevented Edison from using them.

(B) direct current electric power must flow directly from the generator to a home, without passing through any intermediate devices.

(C) a transformer requires changing currents in its coils in order to transfer power between those currents.

(D) DC electric power must flow through thicker wires than can be used efficiently in transformers.

Answer: (C) a transformer requires changing currents in its coils in order to transfer power between those currents. 

Problem 44: 

The atoms in window glass are bound together by covalent bonds. Each of these bonds involves the

(A) transfer of an electron from one atom to the other.

(B) sharing of a pair of electrons between two atoms.

(C) attraction of the positively charged end of one atom to the negatively charged end of another atom.

(D) general sharing of electrons between all of the atoms in the glass.

Answer: (B) sharing of a pair of electrons between two atoms. 

Problem 45: 

If you move the north pole of a permanent magnet toward the surface of an aluminum pot, a current will flow through that pot and the pot will become magnetic-repelling your permanent magnet. If you stop the permanent magnet just before it touches the pot and then hold the permanent magnet stationary, the repulsive force between the pot and the permanent magnet will gradually disappear. The repulsive force disappears because the electric current in the pot

(A) becomes non-magnetic once the permanent magnet stops moving.

(B) stops increasing and becomes steady once the permanent magnet stops moving.

(C) gradually slows to a stop once the permanent magnet stops moving.

(D) becomes an alternating current once the permanent magnet stops moving and the pot's magnetic poles then flip back and forth rapidly.

Answer: (C) gradually slows to a stop once the permanent magnet stops moving. 

Problem 46: 

A typical commercial jet has a sharpened metal rod projecting backward from the tip of each wing. These two rods prevent the airplane from accumulating a large net electric charge during flight by

(A) reducing sliding friction between the airplane and the passing airstream.

(B) transferring any charge on the plane to the air behind the plane.

(C) maintaining a steady electric current between the airplane's wings.

(D) generating high voltages while passing quickly through the earth's magnetic field.

Answer: (B) transferring any charge on the plane to the air behind the plane. 

Problem 47: 

Even when the core of a nuclear reactor exceeds critical mass by a small amount, it doesn't overheat immediately. The fission chain reactions build slowly because

(A) it takes seconds or minutes for a neutron released by one fission to reach another radioactive nucleus and cause it to fission.

(B) the reactor has an enormous thermal mass and it takes many minutes for its temperature to change significantly, even with nuclear heating.

(C) the half-life of uranium is several minutes so it takes at least that long for the reactor core to overheat.

(D) some fission neutrons aren't released until seconds or minutes after the fissions that eventually produce them.

Answer: (D) some fission neutrons aren't released until seconds or minutes after the fissions that eventually produce them. 

Problem 48: 

When white sunlight passes through a vase made of cut lead crystal, the light that emerges is often separated into brilliant colors. This coloration is due to the fact that

(A) red light moves faster in lead crystal than violet light does.

(B) lead crystal absorbs violet light more strongly than it absorbs red light.

(C) red light experiences stronger Rayleigh scattering in lead crystal than violet light does.

(D) lead crystal absorbs red light more strongly than it absorbs violet light.

Answer: (A) red light moves faster in lead crystal than violet light does. 

Problem 49: 

Fission chain reactions in uranium are generally sustained by neutrons, each of which is released by one fission and may induce a subsequent fission. Each fission also releases other particles, most of which include protons. However, proton-containing fission fragments aren't as effective at causing subsequent fissions because they

(A) aren't massive enough to cause fissions in uranium.

(B) are repelled as they try to approach other uranium nuclei.

(C) don't exert any forces on the uranium nuclei they encounter.

(D) aren't hot enough to make a uranium nucleus boil.

Answer: (B) are repelled as they try to approach other uranium nuclei. 

Problem 50: 

The tools used to cut metals in a machine shop are often made from extremely hard steels. It's important to cool these tools with cutting fluids to prevent them from overheating because raising the steel's temperature several hundred degrees will cause the steel to

(A) become extremely brittle.

(B) begin melting.

(C) lose some of its hardness.

(D) become a glass.

Answer: (C) lose some of its hardness. 

PART II: SHORT ANSWER QUESTIONS 

Please give a brief answer in the space provided. Part II is worth 33% of the grade on this examination.

Problem 1: 

You have removed the DC motor from a toy and are experimenting with it. The motor has two wires, one green and the other blue, through which you can send current in order to make its rotor spin. If you attach the blue wire to the positive terminal of a battery and the green wire to the negative terminal, the rotor spins clockwise 10 times each second.

(A) If you attach only the blue wire to the positive terminal of the battery and leave the green wire unattached, how fast will the motor spin? It will not spin at all. 

(B) If you attach the green wire to the positive terminal of the battery and the blue wire to the negative terminal of the battery-the reverse of the original attachments-will the rotor spin and, if so, which way? The rotor will spin counter-clockwise. 

(C) You remove the battery and attach the motor's two wires to a light bulb. When you spin the rotor clockwise with your fingers, the light bulb lights up. Why? The motor is acting as a generator (or the moving magnetic rotor induces currents in motor's stationary coils of wire). 

(D) If you spin the rotor counter-clockwise with your fingers, what will happen to the light bulb? It lights up. 

Problem 2: 

You are outdoors on a sunny day, playing with a magnifying glass that is 5 centimeters in diameter, 0.5 centimeters thick, and has a focal length of 10 centimeters.

(A) You decide to use this glass lens to burn a piece of wood. You hold it above the wood so that a bright circle of sunlight forms of the wood's surface. To make the circle's edges sharp and clear, how high above the wood should you hold the lens? 10 centimeters. 

(B) What would you have to do to the lens to make the sharp circle of sunlight it forms appear the same size as before, but brighter? Increase the diameter (or aperture) of the lens. 

(C) What would you have to do to the lens to make the sharp circle of sunlight it forms appear larger than before? Increase its focal length and move it farther from the wood. 

(D) You've tired of burning wood, so you begin using the lens as a magnifying glass to inspect a leaf. What's the farthest from the leaf you can hold the magnifying glass and still see a virtual image of the leaf? (Almost) 10 centimeters. 

Problem 3: 

A typical thermal fission nuclear reactor uses natural uranium as its fuel.

(A) Despite the fact that the reactor releases enormous amounts of energy every day, its fuel assemblies look essentially unchanged. What is happening inside these fuel assemblies that releases so much energy? The uranium 235 nuclei are fissioning (or breaking). 

(B) The reactor surrounds each fuel assembly with water and this water serves to carry away the thermal energy released while the reactor is running. But the water also serves another purpose, because without it, the reactor could not sustain its fission chain reactions. How does the water assist the chain reactions? It slows (or moderates) the neutrons. 

(C) Even if someone were to steal all the new uranium fuel rods from this reactor, they would not be able to use those rods to make a nuclear weapon. What prevents these rods from sustaining an explosive fission chain reaction? The uranium 238 nuclei (in natural uranium) absorb (fast moving) neutrons. 

(D) After the reactor has operated for while, its fuel rods contain modest amounts of plutonium, a potential fuel for nuclear weapons. Why is it so much easier to separate plutonium from everything else in a fuel rod than it is to separate the light isotope of uranium-uranium 235-from everything else in the fuel rod? Plutonium atoms are chemically different from the other atoms while the uranium 235 and uranium 238 are chemically identical to one another. 

Problem 4: 

You are helping to design a laser light show at a mountainous national park. The goal is to project the light onto the face of a huge cliff from another mountain top several kilometers away.

(A) Lasers are relatively expensive, so one of your friends suggests using a conventional spot light with an incandescent light source rather than a laser. You point out that the light from an incandescent source can't possibly be focused to as small a spot as the light from a laser. Why not? All of the photons from an incandescent light source are independent and focus at different points (or incandescent light is incoherent and can't focus as tightly as coherent light). 

(B) Your group obtains several lasers for the show and you install them on a sturdy table. Another friend notices that in each laser, the light emerges from a partially reflecting mirror. Since that mirror clearly prevents a large fraction of the laser's light from leaving the laser, your friend suggests removing the mirror to make the laser light brighter. You respond that removing the mirror would be a bad idea. What would happen to the laser if you removed its mirror? The laser will stop emitting light (because it needs light reflected from the mirror to amplify in order to sustain its laser oscillation). 

(C) You find that if you send the laser beam directly at the distant cliff, the light spot that forms on the cliff is pretty large. To make that spot smaller, you must enlarge the laser beam with a beam expander-an optical device that resembles a telescope-before directing it toward the cliff. Why does starting with a larger beam of light reduce the rate at which that beam grows wider as it travels through space? Diffraction causes a narrow beam of light to spread and a wider beam of light experiences less diffraction-induced spreading than a narrow beam. 

(D) On the night of the laser show, you notice that you can actually see the laser beam traveling through the sky on its way to the distant cliff. What effect is making it possible for you to see the laser beam? Rayleigh scattering (of laser light by the atmosphere). 

Problem 5: 

You are very proud of your new 12,000 square-foot house. However, you are not just the occupant-you are also the gardener. Unfortunately, you are now so deeply in debt that you can only afford to buy a cheap, used rotary lawnmower. Your choices are a walk-behind mower or a riding mower. You look at the 12 acres of grass surrounding your mansion and go for the riding mower. The only problem: its blade is missing. Since you have access to a big pile of scrap metal, you decide to make a blade yourself. A blade for this type of mower is little more than a sharpened metal bar that spins rapidly about a central pivot.

(A) Your first choice in the scrap heap is a bar of chemically pure iron. You fashion a nice blade from this metal but find that it can't keep an edge. What is going on inside of the pure iron that allows it to become dull so easily? The planes of atoms are slipping across one another (or the iron crystals are experiencing slip). 

(B) Your next choice is a bar of stainless steel. You are helped in identifying it as stainless steel because a magnet doesn't stick to it. What difference between normal steel and stainless steel accounts for the fact that normal steel is magnetic while most stainless steel is not? The atoms in the two metals have different crystal structures (and normal steel's ferrite structure is magnetic while stainless steel's austenite structure is non-magnetic. 

(C) The stainless steel blade can't keep an edge either, so you finally try a bar of carbon steel. After shaping the blade, you heat its cutting edge in burning charcoal so that it soaks up extra carbon. You then cool the blade very rapidly in water. The result is a fine blade that stays sharp almost indefinitely. Why did adding carbon to the cutting edge and then cooling the red hot edge quickly make it so resistant to dulling? This heat treatment places tiny particles of a hard mineral (cementite or iron carbide) throughout the iron crystals and prevents slip from occuring. 

(D) Your mower cuts the grass beautifully. As the spinning blade slices through a tall weed, the weed hardly moves at all. What keeps the weed in place while it is being cut by the moving blade? Inertia. 

Problem 6: 

You have just stepped out of a drenching spring rainstorm. You plug your hairdryer into the upper socket of a 120 volt electric outlet and begin to dry your hair. The hairdryer carries a current of 10 amperes, weighs 10 newtons, and produces air with a temperature of 70° C.

(A) How could you calculate how much electric power the hairdryer is using (you don't have to do this calculation; just describe how to calculate it)? Multiply the current (passing through the hairdryer) times the voltage (drop across the hairdryer). 

(B) As your hair dries out, it gradually becomes stiffer. You hair is a polymer that dissolves lots of water. Why does getting your hair wet make it softer? The water (dissolves in your hair and) acts as a plasticizer (or the water lubricates the hair molecules). 

(C) You are brushing your hair with a cheap metal comb. The comb gets tangled in your hair and you pull hard, permanently bending several of the comb's teeth. What happened to the arrangement of atoms in the teeth as the teeth bent? The (planes of) atoms (in the metal crystals) slipped across one another. 

(D) You put down the bent metal comb and pick up another comb that's made of a hard, glassy plastic. This time when you pull on the comb after it becomes tangled in your hair, several of its teeth break off. Why doesn't this plastic comb bend the way the metal comb did? The atoms and molecules in the glassy plastic aren't mobile and can't slip across one another, so that the molecules break apart (when overstressed).