X069/12/02 PHYSICS HIGHER NATIONAL QUALIFICATIONS 2013 MONDAY, 27 MAY 1.00 PM 3.30 PM. Read Carefully
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1 X69// NTIONL QULIFITIONS 3 MONY, 7 MY PHYSIS. PM 3.3 PM HIGHER Read arefully Reference may be made to the Physics ata ooklet. ll questions should be attempted. Section (questions to ) heck that the answer sheet is for Physics Higher (Section ). 3 For this section of the examination you must use an H pencil and, where necessary, an eraser. 4 heck that the answer sheet you have been given has your name, date of birth, SN (Scottish andidate Number) and entre Name printed on it. o not change any of these details. 5 If any of this information is wrong, tell the Invigilator immediately. 6 If this information is correct, print your name and seat number in the boxes provided. 7 There is only one correct answer to each question. 8 ny rough working should be done on the question paper or the rough working sheet, not on your answer sheet. 9 t the end of the exam, put the answer sheet for Section inside the front cover of your answer book. Instructions as to how to record your answers to questions are given on page three. Section (questions to 3) nswer the questions numbered to 3 in the answer book provided. ll answers must be written clearly and legibly in ink. 3 Fill in the details on the front of the answer book. 4 Enter the question number clearly in the margin of the answer book beside each of your answers to questions to 3. 5 are should be taken to give an appropriate number of significant figures in the final answers to calculations. 6 Where additional paper, eg square ruled paper, is used, write your name and SN (Scottish andidate Number) on it and place it inside the front cover of your answer booklet. S X69// 6/35 *X69//*
2 T SHEET OMMON PHYSIL QUNTITIES Quantity Symbol Value Quantity Symbol Value Speed of light in vacuum c 3 8 m s Mass of electron m e 9 3 kg Magnitude of the charge on an electron e 6 9 Mass of neutron m n kg Gravitational acceleration on Earth g 9 8 m s Mass of proton m p kg Planck s constant h J s REFRTIVE INIES The refractive indices refer to sodium light of wavelength 589 nm and to substances at a temperature of 73 K. Substance Refractive index Substance Refractive index iamond 4 Water 33 rown glass 5 ir SPETRL LINES Element Wavelength/nm olour Element Wavelength/nm olour Hydrogen Sodium Red lue-green lue-violet Violet Ultraviolet Ultraviolet Yellow admium Lasers Red Green lue Element Wavelength/nm olour arbon dioxide } Infrared Helium-neon 633 Red PROPERTIES OF SELETE MTERILS luminium opper Ice Sea Water Water ir Hydrogen Substance ensity/kg m 3 Melting Point/K oiling Point/K The gas densities refer to a temperature of 73 K and a pressure of 5 Pa Page two
3 SETION For questions to in this section of the paper the answer to each question is either,,, or E. ecide what your answer is, then, using your pencil, put a horizontal line in the space provided see the example below. EXMPLE The energy unit measured by the electricity meter in your home is the kilowatt-hour ampere watt coulomb E volt. The correct answer is kilowatt-hour. The answer has been clearly marked in pencil with a horizontal line (see below). E hanging an answer If you decide to change your answer, carefully erase your first answer and, using your pencil, fill in the answer you want. The answer below has been changed to E. E [Turn over Page three
4 SETION nswer questions on the answer sheet.. Which of the following is a vector quantity? 3. vehicle runs down a slope as shown. distance time speed card light gate light gate computer energy E weight θ. n object starts from rest and accelerates in a straight line. The graph shows how the acceleration of the object varies with time. acceleration/m s The speed of the object at 5 seconds is time/s The following results are obtained. angle of slope, θ = 5 ± 5 length of card on top of vehicle, d = ± m time for card to pass light gate, t = 4 ± s time for card to pass light gate, t = 5 ± s time for vehicle to travel between the light gates, t 3 = 5 ± s Which quantity has the largest percentage uncertainty? θ d t m s 8 m s m s t E t 3 6 m s E m s. 4. Two blocks are linked by a newton balance of negligible mass. The blocks are placed on a level, frictionless surface. force of 8 N is applied to the blocks as shown. 4 kg 6 kg 8 N The reading on the newton balance is 7 N 9 N 8 N 8 N E 4 N. Page four
5 5. box is suspended by a rope under the surface of the sea. rope Which diagram shows the vertical forces acting on the box? tension 6. cannon of mass 3 kg fires a cannonball of mass 5 kg. The cannonball leaves the cannon with a speed of 5 m s. The speed of the cannon immediately after firing is 5 m s 8 m s 39 9 m s 4 m s E m s. weight 7. The pressure of a gas in a sealed syringe is 5 5 Pa. The temperature of the gas is 7. The temperature of the gas is now raised by and the volume of the gas halved. The new pressure of the gas in the syringe is tension weight tension upthrust E 5 Pa 8 5 Pa 3 5 Pa 4 5 Pa 5 Pa. 8. student writes the following statements about electric fields. upthrust weight I There is a force on a charge in an electric field. II When an electric field is applied to a conductor, the free electric charges in the conductor move. III Work is done when a charge is moved in an electric field. Which of the statements is/are correct? tension weight E tension upthrust E I only II only I and II only I and III only I, II and III gravity weight [Turn over Page five
6 9. The diagram shows a Wheatstone bridge. R V kω V kω kω. The capacitance of a capacitor is μf. The potential difference (p.d.) across the capacitor is V. The charge stored by the capacitor is. The charge on the capacitor is now reduced to half its original value. Which row in the table shows the capacitance of the capacitor and the p.d. across the capacitor, for this new value of charge? The reading on the voltmeter is zero. The variable resistor R V is now altered in steps of Ω and each corresponding reading on the voltmeter is noted. Which of the following graphs shows how the reading on the voltmeter, V, varies with the change in resistance R? V/V apacitance/μf p.d./v E 5 V/V R/Ω. The graph shows how the charge, Q, stored on a capacitor varies with the potential difference, V, across the capacitor. Q V/V V/V R/Ω R/Ω Which of the following statements is/are correct? I The gradient of the graph represents the capacitance of the capacitor. II The area under the graph represents the work done in charging the capacitor. III The energy, E, stored in the capacitor is given by the equation E = QV. V I only II only E V/V R/Ω E III only I and II only I, II and III R/Ω Page six
7 . The following circuit shows a constant voltage a.c. supply connected to a resistor and capacitor in parallel. 3. physicist designs the amplifier circuit shown. kω kω kω I R R I Which pair of graphs shows how the r.m.s. currents I R and I vary as the frequency, f, of the supply is increased? I R I In this circuit, adjustment of the resistance of the variable resistor from zero to kω allows the voltage gain to be altered over the range E zero to one zero to ten zero to eleven one to ten one to eleven. f f 4. The energy of a water wave depends on its I R I amplitude period phase speed f f E wavelength. I R I 5. Light travels from air into glass. Which row in the table describes what happens to the speed, frequency and wavelength of the light? f f Speed Frequency Wavelength I R I increases decreases stays constant decreases stays constant decreases E I R f I f stays constant increases decreases stays constant E decreases decreases decreases increases stays constant f f Page seven [Turn over
8 6. The irradiance of light can be measured in W W m W m W m E W m. 7. Ultraviolet radiation causes the emission of photoelectrons from a zinc plate. The irradiance of the ultraviolet radiation on the zinc plate is increased. Which row in the table shows the effect of this change? 9. student makes the following statements about Rutherford s model of the atom. I The nucleus has a relatively small diameter compared with that of the atom. II Most of the mass of the atom is concentrated in the nucleus. III The nucleus consists of positive and negative charges. Which of these statements is/are correct? E I only II only III only I and II only I, II and III Maximum kinetic energy of a photoelectron Number of photoelectrons emitted per second increases no change no change increases no change no change increases increases E decreases increases 8. student reads the following passage in a physics dictionary.... is a solid state device in which positive and negative charge carriers are produced by the action of light on a p-n junction. The passage describes E a thermistor a MOSFET a photodiode a laser an LE. Page eight
9 . Part of a radioactive decay series is shown in the diagram. The symbols X to X 5 represent nuclides in this series. mass number 4 38 X 34 X X 3 X 4 3 X atomic number student makes the following statements about the decay series. I Nuclides X and X 3 contain the same number of protons. II Nuclide X decays into nuclide X by emitting an alpha particle. III Nuclide X 3 decays into nuclide X 4 by emitting a beta particle. Which of these statements is/are correct? E I only II only III only II and III only I, II and III [Turn over Page nine
10 SETION Marks Write your answers to questions to 3 in the answer book.. car is travelling at a constant speed of 5 m s along a straight, level road. It passes a motorcycle which is stationary at the roadside. 5 m s t the instant the car passes, the motorcycle starts to move in the same direction as the car. The graph shows the motion of each vehicle from the instant the car passes the motorcycle. velocity/m s 5 motorcycle car 4 time/s (a) Show that the initial acceleration of the motorcycle is 5 m s. (b) alculate the distance between the car and the motorcycle at 4 s. (c) The total mass of the motorcycle and rider is 9 kg. t a time of s the driving force on the motorcycle is 8 N. (i) alculate the frictional force acting on the motorcycle at this time. (ii) Explain why the driving force must be increased with time to maintain a constant acceleration. (6) Page ten
11 . tennis player strikes a ball at a height of 5 m above the ground. The ball leaves the racquet travelling horizontally at 4 m s. It travels through the air and hits the ground at point X on the other side of the net. Marks 4 m s not to scale net X The effects of air resistance can be ignored. (a) The ball takes 5 s to travel to the net. alculate the height of the ball above the ground at this time. (b) y scale drawing, or otherwise, calculate the velocity of the ball as it hits the ground at X. (c) fter playing with the same ball for a time, the temperature of the gas inside the ball increases. Using the kinetic model, describe how this increase in temperature affects the pressure of the gas in the ball. ssume that the mass of gas and the volume of the ball remain constant. 3 (7) [Turn over Page eleven
12 3. The force applied by a seat belt on a crash test dummy is being investigated. The crash test dummy is placed in a car. The car then travels along a test track at a speed of 3 4 m s, collides with a wall and comes to rest. Marks (a) State the law of conservation of linear momentum. (b) The total mass of the car and dummy is kg. alculate the change in momentum of the car and dummy in the collision. (c) The crash test dummy has a mass of 75 kg and is wearing a seat belt. uring the collision the dummy travels a distance of 48 m while coming to rest. alculate the average force exerted on the dummy by the seat belt. 3 (6) Page twelve
13 4. diver is measuring the pressure at different depths in the sea using a simple pressure gauge. Part of the pressure gauge consists of a cylinder containing gas trapped by a moveable piston. Marks moveable piston scale open end closed end trapped gas t sea level, the atmospheric pressure is x 5 Pa and the trapped gas exerts a force of 6 N on the piston. (a) alculate the area of the piston. (b) The diver now descends to a depth, h, where the gauge registers a total pressure of Pa. The density of the sea water is 3 kg m 3. The temperature of the trapped gas remains constant. (i) alculate this depth, h. (ii) While at this depth, a bubble of gas is released from the diver s breathing apparatus. State what happens to the volume of this bubble as it rises to the surface. Justify your answer. 3 (c) The pressure gauge is now used as the sensor in the circuit shown to indicate the depth of a mini-submarine. variable resistor, R V, is attached to the moveable piston of the pressure gauge. sliding contact R V Ω 5 kω + V 5 kω 5 kω + +5 V 5 V Ω Ω 5 kω V trapped gas V The resistance of R V decreases as the depth of the mini-submarine increases. alculate the reading on the voltmeter when the value of R V is zero. Page thirteen [Turn over 3 (9)
14 5. thermocouple is a device that produces an e.m.f. when heated. Marks (a) technician uses the circuit shown to investigate the operation of a thermocouple when heated in a flame. thermocouple V R V Readings of current and potential difference (p.d.) are recorded for different settings of the variable resistor R V. The graph of p.d. against current is shown. potential difference/v current/ Use information from the graph to find: (i) the e.m.f. produced by the thermocouple; (ii) the internal resistance of the thermocouple. Page fourteen
15 5. (continued) Marks (b) different thermocouple is to be used as part of a safety device in a gas oven. The safety device turns off the gas supply to the oven if the flame goes out. The thermocouple is connected to a coil of resistance Ω which operates a magnetic gas valve. to gas oven + thermocouple coil magnetic gas valve from gas supply When the current in the coil is less than 5, the gas valve is closed. The temperature of the flame in the gas oven is 8. The manufacturer s data for this thermocouple is shown in the two graphs. e.m.f./v temperature/ internal resistance/ω temperature/ Is this thermocouple suitable as a source of e.m.f. for the gas valve to be open at a temperature of 8? You must justify your answer. Page fifteen [Turn over 3 (6)
16 6. The circuit shown is used to compare the voltage from a battery and the voltage produced by a signal generator. Marks X Y signal generator light meter oscilloscope R V The switch is connected to X and the voltage across the lamp is 3 V. The reading on the light meter is recorded. The switch is now connected to Y. The resistance of R V is adjusted until the light meter reading is the same as before. The trace on the oscilloscope screen is shown. div div (a) The timebase setting is s/div. alculate the frequency of the output voltage of the signal generator. (b) alculate the peak value of the voltage displayed on the oscilloscope. (c) With the switch still connected to Y, the signal generator frequency is now doubled without altering the output voltage. State what happens to the reading on the light meter. Justify your answer. (5) Page sixteen
17 7. Part of a camera flash circuit operates at 5 V d.c. The circuit includes a 5 kω resistor and a 47 μf capacitor. The capacitor is initially uncharged. Marks +5 V 5 kω X Y 47 µf flash lamp V (a) The capacitor is now charged by connecting the switch to X. (i) alculate the initial charging current. (ii) Sketch a graph to show how the voltage across the capacitor varies with time from the moment the switch is connected to X. Numerical values are required on the voltage axis. (iii) Show that the energy stored in the capacitor is 4 7 J when it is fully charged. (b) When a flash photograph is taken, the switch is connected to Y and the capacitor discharges through the flash lamp in a time of μs. alculate the average power output of the flash lamp. (c) The flash cannot be fired again for another photograph until the capacitor has recharged. The time for this to happen is called the recycle time. How could the circuit be modified to reduce the recycle time without altering the power output of the flash? (7) [Turn over Page seventeen
18 8. student is using different types of electromagnetic radiation to investigate interference. Marks (a) In the first experiment, two identical sources of microwaves, S and S, are positioned a short distance apart as shown. Y P S S central maximum X detector to meter (i) The student moves a microwave detector from X towards Y. The reading on the meter increases and decreases regularly. Explain, in terms of waves, what causes the minimum readings to occur. (ii) The third maximum from the central maximum is located at P. The distance from S to P is 6 mm. The wavelength of the waves is 8 mm. alculate the distance from S to P. (b) In the second experiment, a beam of parallel, monochromatic light is incident on a grating. n interference pattern is produced on a screen. The edges of the screen are at an angle of 4 to the centre of the grating as shown. screen monochromatic light 4 4 grating The wavelength of the light is 4 nm and the separation of the slits on the grating is m. etermine the total number of maxima visible on the screen. 3 (6) Page eighteen
19 9. student places a glass paperweight containing air bubbles on a sheet of white paper. Marks The student notices that when white light passes through the paperweight, a pattern of spectra is produced. The student decides to study this effect in more detail by carrying out an experiment in the laboratory. ray of green light follows the path shown as it enters an air bubble inside glass. normal not to scale ray of green light glass 9 θ air bubble The refractive index of the glass for this light is 49. (a) alculate the angle of refraction, θ, inside the air bubble. (b) alculate the maximum angle of incidence at which a ray of green light can enter the air bubble. (c) The student now replaces the ray of green light with a ray of white light. Explain why a spectrum is produced. (5) [Turn over Page nineteen
20 3. (a) technician uses the following apparatus to investigate the relationship between the irradiance of the light from a lamp and the distance from it. Marks meter light sensor lamp The results of the experiment are shown. metre stick istance between light sensor and lamp/m Irradiance/units Use all the results to determine whether or not the lamp behaves like a point source of light in this experiment. (b) The experiment is now repeated using a 4 W laser which produces light of wavelength 633 nm. meter light sensor laser metre stick (i) Explain why the results obtained with the laser differ from those obtained using the lamp. (ii) alculate the number of photons emitted by the laser each second. (iii) Light from the laser is described as coherent. escribe, in terms of photons, two differences between the light from the laser and the light from the lamp used in part (a). 3 (7) Page twenty
21 3. (a) The following statement represents a nuclear reaction. Marks X + Z H 4 He + n + energy The masses of some of the particles involved in this reaction are shown in the table. Particle H Mass/kg He n (i) Use the data booklet to identify the element X. (ii) The energy released in this reaction is 97 J. alculate the mass of the nucleus Z X. 3 (b) The crew of an aircraft receives an absorbed dose at a rate of μgy h of gamma rays, 5 μgy h from protons and μgy h from fast neutrons. The table shows the radiation weighting factor for various types of radiation. Type Radiation weighting factor gamma rays protons thermal neutrons 5 fast neutrons alpha particles alculate the equivalent dose received by a member of the crew during a hour flight. (6) [EN OF QUESTION PPER] Page twenty-one
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