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Student Number………………………………. Preliminary Course Yearly Examination 2008 Physics General Instructions Reading time – 5 minutes Working time – 2 hours Board approved Calculators can be used. Write using blue or black ink Draw diagrams using a pencil Write your student number at the top of each section A data sheet and formula sheet are provided on coloured paper. Total marks 75 Part A-15 marks Allow about 20 minutes for this section Part B- 60 marks Allow about 1 hour and 30 minutes for this section This paper must not be removed from the Examination Room -1- Physics Preliminary 2008 Part A 15 marks Use the multiple choice answer grid Select the alternative A, B, C or D that best answers the question. Fill in the response oval completely. Sample 2 + 4 = A (A) 2 (B) 6 B C (C) 8 (D) 9 D If you think you have made a mistake, put a cross through the incorrect answer and fill in the next answer. A B C D If you change your mind and have crossed out what you think you consider to be the correct answer, then indicate this by writing the word correct and drawing an arrow as follows: correct A B -2- C D Physics Preliminary 2008 Section I 15 marks Attempt Questions 1–15 Allow about 20minutes for this section Use the multiple choice answer sheet for Questions 1 to 15. 1 Which of the following are all non-mechanical waves? A B C D 2 If the distance between a compression and an adjacent rarefaction of a sound wave is 0.6 m what is the wavelength of the sound wave? A B C D 3 B C D The angle between the incident ray and the normal to the surface is always equal to the critical angle The angle between the incident ray and the normal to the surface is always less than the critical angle The angle between the incident ray and the normal to the surface is always greater than critical angle The angle of incidence is equal to the angle of refraction What are the units of electric field? A B C D 5 0.6 m 0.12 m 2.4 m 1.2 m Light rays can be sent down optical fibres with little loss because they are totally internally reflected within the fibre. Why are the light rays totally internally reflected within an optic fibre? A 4 Water waves, sound waves, radio waves Radio waves, X-rays, ultraviolet light, visible light Visible light, ultraviolet light, X-rays, sound waves Sound waves, microwaves, water waves Newtons per coulomb Coulombs per newton Coulombs per joule Joules per coulomb What would happen to the electrical resistance of a length of nichrome metal wire if the temperature of the wire was increased? A B C D Increase Decrease Remain constant Impossible to say -3- Physics Preliminary 2008 6 How would the reading on the ammeter and voltmeter change if the globe marked X in the circuit blew out? A B C D 7 What variable does a car speedometer measure? A B C D 8 16.7 kg and 163 N 163 kg and 163 N 100 kg and 163 N 16.7 kg and 980 N What remains constant when two cars collide? A B C D 11 Driving around a bend at constant speed Slowing down at a stop sign Starting from rest Driving up a hill at constant velocity On the surface of the moon the acceleration due to gravity is one sixth that on the Earth. If an astronaut had a mass of 100 kg on Earth, what would his mass and weight be on the moon? A B C D 10 Instantaneous velocity Average velocity Average speed Instantaneous speed Which of the following motions of a car do NOT involve acceleration? A B C D 9 Both the current and the voltage would decrease. Both the current and voltage would increase. The current would decrease and the voltage would not change. The voltage would increase and the current would not change. The sum of the kinetic energy of the cars only The vector sum of the momentum on the cars Both the sum of the kinetic energy and the sum of the momentum of the cars The momentum of each car What is the main source of power in a red giant star? A B C D Fusion of hydrogen nuclei Fission of nuclei heavier than hydrogen Fusion of helium nuclei Fission of nuclei heavier then helium -4- Physics Preliminary 2008 12 What can be deduced about the galaxy from the shift in the spectral lines emitted from the galaxy shown in the diagram? Spectra from excited hydrogen gas on Earth 200 400 Wavelength ( 10–9 m) 600 Spectra of hydrogen from a distant galaxy 200 A B C D 13 400 Wavelength ( 10–9 m) 600 The galaxy is moving towards the Earth. The galaxy is moving away from the Earth. The galaxy has a super massive black hole at its centre. The galaxy is in the process of colliding with another galaxy. What factor(s) determine the brightness of a star when it is viewed from the Earth? A B C D 14 The distance to the star alone The luminosity of the star and the distance to the star The colour and size of the star The surface temperature and size of the star Which of the following types of radiation would cause the most ionisation when it passed through air? A B C D 15 Beta Microwave Gamma Alpha In the diagram below all the resistors shown are identical. If the ammeter reads 1.0 A, the current delivered from the battery must be: A B C D 1.0 A 2.0 A 2.5 A 3.0 A End of Section I -5- Physics Preliminary 2008 Section II 55 marks Attempt Questions 16–26 Allow about 90 minutes for this section Answer the questions in the spaces provided. Show all relevant working in questions involving calculations. Marks Question 16 (6 marks) A water wave is shown in the diagram above. (a) What is the amplitude of the wave? 1 (b) Given that the wave has a velocity of 1.2 ms–1, determine the frequency of this water wave. 2 Outline the key differences between light waves and sound waves. 3 (c) -6- Physics Preliminary 2008 Marks Question 17 (4 marks) When space engineers design communication satellites they must ensure that the microwave transmitters have sufficient power for signals to reach the Earth with enough intensity to be detected. (a) (b) Microwaves pass readily through the atmosphere. Name TWO other types of electromagnetic radiation that do not pass readily through the atmosphere. 2 Microwaves from a communication satellite 400 km above the surface of the Earth reach the surface with an intensity of 45 Wm–2. Calculate the intensity of the microwaves that would reach the surface if the satellite was moved to a new orbit 1200 km above the surface. 2 -7- Physics Preliminary 2008 Marks Question 18 (4 marks) The diagram below shows a positively charged Perspex rod and negatively charged electroscope when they are far apart. The positively charged rod is gradually brought closer to the negatively charged electroscope. As this motion takes place the leaves of the electroscope are observed to first collapse and then diverge. Explain what is happening by drawing three labelled sketches of the rod and electroscope showing the charge distributions when the leaves are: (a) in the process of collapsing (b) fully collapsed (c) beginning to diverge again. -8- Physics Preliminary 2008 Marks Question 19 (5 marks) The diagram above shows how a light ray is refracted when it moves from air to Perspex (transparent plastic). Note that the angle of incidence is 40 and that Perspex has a refractive index of 1.20. (a) (b) Compare qualitatively the velocity, frequency and wavelength of the light wave in the air to the velocity, frequency and wavelength of the light wave in the Perspex (no calculations required). 3 Calculate the angle of refraction of the ray when it enters the block of Perspex. 2 -9- Physics Preliminary 2008 Marks Question 20 (6 marks) The graph shown above illustrates the results found from an experiment that measured the current passing through a resistor when various voltages were applied across the resistor. The resistor was placed in a water bath to ensure that the temperature of the resistor did not change throughout the experiment. (a) Draw a circuit diagram to show how the components below would have been connected by the student to conduct this experiment. Label the direction of current flow in your diagram. 3 (b) Find the gradient of the graph and its units. 2 (c) On the graph shown above, sketch the shape of the line (general trend only required) that would have been obtained by the student if a water bath had NOT been used in the experiment. 1 - 10 - Physics Preliminary 2008 Marks Question 21 (3 marks) The diagram above shows two charged parallel plates. (a) (b) Sketch the electric lines of force between the two charged plates in the diagram above. 1 If the electric field strength between the plates was 200 NC–1, determine the mass of an oil droplet with a charge of –2.0 10–6 C which can be suspended at rest between the plates. 2 - 11 - Physics Preliminary 2008 Marks Question 22 (6 marks) The 1800 kg car shown in the diagram above accelerates uniformly from rest to a speed of 72 km hr–1 in a time interval of 5 seconds. (a) Calculate the final kinetic energy of the car. 2 (b) Determine the work done on the car during the time when it was accelerating. 1 (c) Calculate the acceleration of the car. 2 (d) Determine the distance travelled by the car in the 5 second time period. 1 - 12 - Physics Preliminary 2008 Marks Question 23 (3 marks) A current carrying solenoid and a magnet are fixed to trolleys as shown below. The mass of the solenoid and trolley is four times the mass of the magnet and trolley. The two trolleys are placed a distance d apart and released. Assuming momentum is conserved and that the two trolleys are released from rest. (a) Determine the direction of motion of these two trolleys. 1 (b) Calculate the ratio of the acceleration of the magnet trolley to the acceleration of the solenoid trolley. 2 - 13 - Physics Preliminary 2008 Marks Question 24 (5 marks) The Sun is a G2 Main sequence star with a surface temperature of 6000°C. The Sun radiates electromagnetic radiation and particles into space and undergoes a sunspot cycle with a period of approximately 11 years. (a) State the energy source of a main sequence star. 1 (b) Outline the nature of sunspots and the reason that scientists on earth are studying them closely. 2 (c) Explain two pieces of evidence for the Big Bang theory. 2 - 14 - Physics Preliminary 2008 Marks Question 25 (5 marks) Describe TWO principal models of the solar system that were developed by scientists from the time of Aristotle to the time of Newton, and evaluate the importance of technology to the development of these models. - 15 - 5 Physics Preliminary 2008 Question 26 (5 marks) The equipment below was used to find the relationship between the net force and acceleration of the trolley. A data logger attached to a light gate was used to find the acceleration. the spring balance was used to find the net force. End of paper The hanging mass M was changed to collect a range of data shown below. Net Force (N) Acceleration (ms-2) 1.0 0.9 2.0 1.6 3.0 2.3 4.0 2.9 5.0 3.7 6.0 4.4 (a) State the physical principle being tested in this experiment? 1 (b) Plot the net force versus acceleration on the grid below. Include a line of best fit. 2 (c) Use the graph to find the mass of the trolley. 2 - 16 - Physics Preliminary 2008 Question 27. (5 marks) Identical resistors, each of value R ohm, are arranged in 3 circuits I, II, III as shown in the diagram below. The voltage applied to each circuit was varied and potential difference versus current graphs were plotted for each circuit, as shown below. (a) Which graph, X, Y or Z relates to which circuit? (Justify your answer) 2 (b) Calculate the value of R 2 - 17 - Physics Preliminary 2008 potential difference (V) (c) The switch in circuit III is closed and the applied voltage again varied. Plot a potential difference versus current graph for this circuit under these conditions on the graph below. 12 9 6 3 2 4 6 8 current (A) 1 Question 28 (3 marks) Assess one negative impact on society since the discovery and use of electricity in households. 3 - 18 - Physics Preliminary 2008 Section I – Multiple choice Answer sheet A B 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 - 19 - C D Physics Preliminary 2008 Mapping grid Question Mark Content Outcome Band P8 2–3 1 1 8.2.1 Col 2 dot 3 2 1 8.2.1 Col 2 dot 4 and 8.2.2 Col 2 dot 2 P8, P14 4–5 3 1 P5, P8 4–5 4 1 8.2.4 Col 2 dot 7 and 8 8.2.2 Col 3 dot 1 P8 3–4 5 1 8.3.2 Col 2 dot 3 P13 4–5 6 1 8.3.3 Col 2 dot 2 P9 5–6 7 1 8.3.4 Col 2 dot 3 and Col 3 dot 2 P7 4–5 8 1 8.3.2 Col 2 dot 10 P7 2–3 9 1 8.4.1 Col 2 dot 4 P6 2–3 10 1 8.4.2 Col 2 dot 6 and 8 P13 4–5 11 1 8.4.2 Col 2 dot 7 P6, P9 4–5 12 1 8.4.4 Col 2 dot 3 P6, P7 5–6 13 1 8.5.3 Col 2 dot 4 H7 3–4 14 1 8.5.2 Col 2 dot 1 P14 5–6 15 1 8.5.3 Col 3 dot 1 P14 4–5 16 1 8.5.4 Col 2 dot 2 P7 4–5 17 6 8.2.1 Col 2 dot 2, 4, 5 and 6 and Col 3 dot 6 P8, P14 3–5 18 4 8.2.3 Col 2 dot 2 and dot 4 P8, P14, P7 4–6 19 6 8.2.4 Col 2 dot 4,5 and 6 and Col 3 dot 3 and 4 P8 3–5 20 6 8.3.2 Col 2 dot 9 and 10 and Col 3 dot 3 and 4 8.3.3 Col 2 dot 3 and 4 P11, P14 3–5 21 3 8.3.2 Col 2 dot 1 and Col 3 dot 1and 2 P6, P9 2–4 22 6 8.3.5 Col 2 dot 4 and Col 3 dot 1 P9, P11, P13 3–6 23 6 8.4.2 Col 2 dot 6 8.4.3 Col 2 dot 1 and Col 3 dot 1 and dot 3 P6, P7, P12 3–5 24 7 8.4.4 Col 2 dot 1 and Col 3 dot 3 P6, P7 2–6 25 5 8.5.4 Col 2 dot 3,4 and 6 and Col 3 dot 2 and 8.5.3 Col 2 dot 1 and 2 and Col 3 dot 1 P7, P10 3–5 26 5 8.5.1 Col 2 dot 1 and 8.5.3 Col 2 dot 1 and 2 P1, P2, P3 3–6 - 20 - Physics Preliminary 2008 This page has been intentionally left blank - 21 - Physics Preliminary 2008 Marking guidelines Section I 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 B D C A A C D D C D B A B D C Distance between adjacent compression and rarefaction is half wavelength. Section II Question 16(a) Criteria Correct numerical answer Marks 1 Suggested answer: Amplitude is the maximum displacement from the equilibrium position = 50 cm. Question 16(b) Criteria Correct numerical answer and units given Wave equation given, but incorrect answer OR correct numerical answer with the wrong units given Suggested answer: v 1.2 f = 0.6 Hz 2 - 22 - Marks 2 1 Physics Preliminary 2008 Question 16(c) Criteria Marks THREE or more differences clearly described 3 TWO differences clearly described 2 ONE difference given 1 Suggested answers: LIGHT speed of travel at 3x108m/s in air are non mechanical waves are em waves and can travel through vacuum Are transverse waves SOUND slower (about 3330m/s) in air mechanical waves are mechanical waves and cannot travel through a vacuum are longitudional waves Question 17(a) Criteria Marks TWO correct regions of the electromagnetic spectrum stated 2 ONE correct regions of the electromagnetic spectrum stated 1 Suggested answers: X-rays, ultraviolet light (or gamma rays) Question 17(b) Criteria Marks 2 Correct numerical answer 1 stated but incorrect answer 1 r2 Suggested answer: 1 Intensity is proportional to 2 and hence as the distance is increased by a factor of 3 the r 1 1 45 intensity will decrease by a factor of 2 and intensity will decrease to = 5 Wm–2. 3 9 9 OR I1r21=I2r22 45*4002=x*12002 so I=5Wm-2 - 23 - Physics Preliminary 2008 Question 18 (a) All steps understood and explained. No extreme statements like “all the electrons have left the leaves” 2 steps well understood and explained 1step well understood and explained Some understanding of why the leaves move 4 3 2 1 (a) Electrons which are free to move go up because they are attracted to the Perspex rod. The leaves which were very negatively charged are less charged and so move together. (leaves are still slightly nebative (b) As Perspex rod moves closer even more electrons are at the top and the overall charge at the leaves has now become neutral. (c) At the Perspex moves closer again so many electrons have left the leaves that they become positively charged and repel each other because they both are positively charged - 24 - Physics Preliminary 2008 Question 19(a) Criteria Marks All THREE comparisons correct 3 TWO correct comparisons 2 ONE comparison correct 1 Suggested answer: When the light enters the Perspex: velocity decreases wavelength decreases frequency remains unchanged. Question 19(b) Criteria Marks Correct answer 2 States Snell’s law but does not obtain correct answer 1 Suggested answer: sin i v1 c n sin r v2 v2 sin 40 Hence r sin 1 32.39° (or 32°23) n - 25 - Physics Preliminary 2008 Question 20(a) Criteria Marks Correct diagram 3 ONE error in diagram (e.g. current flow direction, voltmeter not in parallel, ammeter not in series, a short circuit) 2 TWO errors in diagram 1 Suggested answer: Question 20(b) Criteria Marks Correct answer and units 2 Correct numerical but incorrect units 1 Suggested answer: rise Gradient = = 15 VA–1 or 15 ohms run - 26 - Physics Preliminary 2008 Question 20(c) Criteria Marks Increasing gradient shown on graph 1 Suggested answer: Question 21(a) Criteria Marks Correct diagram of field lines 1 Suggested answer: Question 21(b) Criteria Marks Correct magnitude and direction 2 Correct magnitude of 1 force only 1 Suggested answer: F = qE = mg so (–2 10–6) 200 = m 9.8 so m=4.08x10-5kg - 27 - Physics Preliminary 2008 Question 22(a) Criteria Marks Correct conversion to ms–1 and correct answer for kinetic energy 2 Correct use of KE equation, but incorrect answer (e.g. due to error in converting km hr–1 to ms–1) OR Correct conversion to ms–1 but incorrect answer for the kinetic energy Suggested answer: 1000 72 km hr–1 = 72 = 20 ms–1 3600 1 1 Kinetic energy = mv2 = (1800)(20)2 = 360 000 joules 2 2 1 Question 22(b) Criteria Marks Correct answer OR the same answer that the student gave for part (a) 1 Suggested answer: The work done is equal to the gain in kinetic energy and hence work = 360 000 joules. Question 22(c) Criteria Marks Correct numerical answer OR Correct working, but incorrect answer due to failure to convert km hr–1 to ms–1 Suggested answer: (v u ) (20 0) v = at + u and hence a = = 4 ms–2 t 5 Question 22d Criteria Correct numerical answer 1 Marks 1 r=ut+ ½ at2=50m Question 23(a) Criteria Correct direction Marks 1 Towards each other - 28 - Physics Preliminary 2008 Question 23(b) Criteria Marks Correct answer with logical working 2 Attempt to use F=ma or similar and varying mass 1 4:1 Question 24(a) Criteria Marks Hydrogen fusion (fusion alone is not enough) 1 Suggested answer: The fusion of hydrogen to helium in the core of the star converts mass into energy (in accordance with Einstein’s equation E = mc2). Question 25(b) Criteria Marks Answer which explains that sunspots are regions on the Sun’s surface that are at a lower temperature AND that the cooling is caused by intense magnetic fields and affect power systems 2 Correctly states ONE of the two points above 1 Suggested answer: Sun spots are regions on the Sun’s surface that are at a lower temperature than the rest of the surface and hence appear to be darker than the surface around them. Sunspots are believed to be caused by intense magnetic fields cooling regions on the outer layer of the Sun. they produce massive amounts of particles that can rush to the earth and affect satellites and power systems. Question 24c Criteria Marks Two pieces of evidence well explained 2 Correctly states ONE of the two points above 1 (Doppler red shift, Helium shortage, Hubble image) - 29 - Physics Preliminary 2008 Question 26 Criteria Marks A clear description of both models (ideally with diagrams) and an evaluation statement about the importance of technology supported by examples of technologies that enabled the models to evolve 5 A good description of the two models and some discussion of technologies, but no evaluation statement about the importance of technology OR A good description of the models with a weakly supported evaluation statement about the importance of technology 4 An answer which includes a reasonable description of the models but fails to link the development of the models with developments in technology OR Answers that only describe the models or the technologies that influenced them 2–3 A correct description of ONE model or ONE relevant technology 1 Suggested answer: Around 300 BCE, Aristotle proposed an Earth-centred (Geocentric model) in which the Sun, Moon and planets moved on crystal spheres around a stationary central Earth. The stars were on the outermost sphere. This model was further developed by Ptolemy and accepted for over 1500 years. In the 16th century, accurate measurements by Brahe using new instruments (large quadrants) cast doubts on some of the predictions of the Geocentric model. Copernicus tried to explain these problems by using a sun-centred (Heliocentric) model of the solar system in which the Earth and other planets revolved around a central stationary sun. These models were in competition with one another until Galileo used the newly-discovered telescope to make a number of observations that supported the Heliocentric model and eventually led to the Heliocentric model replacing the Geocentric model. The development of technologies (such as quadrants and telescopes) has been extremely important to the development of our understanding of the solar system.* *Note that diagrams could also be used by students to reduce the writing required in this answer. - 30 - Physics Preliminary 2008 Question 26 (a) Newtons 2nd law (b) Plot the net force versus acceleration on the grid below. Include a line of best fit. 6 5 3 2 1 Slope =rise/run =4.2/3 =1.4kg 4.2N 4 3m/s/s 1 2 3 4 5 6 2 (c) Criteria Marks Slope correctly calculated 2 Slope attempted 1 Resistance is the slope =1.4kg - 31 - Physics Preliminary 2008 Question 27. (5 marks) Criteria Marks All correct with good justification 2 One correctly matched with justification 1 X=I, Y=III, Z=II Circuit 3 has the least resistance (R/2) and so has the shallowest slope. Circuit II has the greatest resistance (2R) and so has the steepest slope (b) R= slope of graph X=3Ω (c) Total resistance =(1/R+1/R+1/R)-1=R/3 as R=3 Ω then the slope needs to be 1 Criteria Marks 2 Correct slope from wrong calculations OR Correct calculation but wrong slope 1 potential difference (V) All correct with good justification 12 9 6 3 2 4 6 8 current (A) 1 Question 28 Criteria Marks Assesses the impact 3 Explains the impact 2 Names an impact 1 - 32 -