PEM exam HSC Trial Examination 2014 Physics Solutions and marking guidelines Physics HSC Trial 2014 PEM Page 1 Section I Part A Answer and explanation Question 1 Answer D Kepler’s law of periods used to derive answer. Question 2 Answer B North pole is induced in the side closest to the magnet to oppose the motion of the magnet (Lenz’s law). This requires current to flow towards 2 hence answer B. Question 3 Answer A AC induction motors have a rotor. Question 4 Answer B Length is contracted in the direction of motion. Question 5 Answer C 2 Application of E = mc Question 6 Answer D Current is induced to oppose motion on the coil entering the field. Then no current flows while it is in the magnetic field. As the coil leaves then current is induced in the opposite direction to oppose the motion. Question 7 Answer A Equations of motion used to find the answer. Question 8 Answer B The stone thrown by Ben will return at the same speed it was thrown at hence Bill and Ben’s stone will have the same speed at the edge of the cliff and hence answer B. Question 9 Answer D Situation D has the greatest rate of change of flux and hence the greatest current. Question 10 Answer D UV light has a greater energy hence it will also release photoelectrons. Question 11 Answer A Application of the universal law of gravitation and weight force. Question 12 Answer C Speed of light is independent of velocity of the source. Question 13 Answer B Red light has a lower frequency f and hence less energy. This means more red photons are needed if they are to have the same power output. Question 14 Answer D UV catastrophe. Question 15 Answer B Application of the transformer equation. Question 16 Answer A Right hand solenoid rule used to find magnetic field inside the coil. Physics HSC Trial 2014 PEM Syllabus content and course outcomes 9.2, 2, C3, D5 H6 9.3, 2, C2, D7 H9 9.3, 5, C3, D1 H9 9.2, 4, C2, D9 H6 9.2, 4, C3, D5 H6 9.3, 2, C2, D4 H6 9.2, 2, C3, D1 H6 9.2, 2, C3, D1 H6 9.3, 2, C3, D2 H9 9.4, 2, C3, D4 H10 9.2, 3, C3, D2 H6 9.2, 4, C2, D6 H6 9.4, 2, C2, D4 H10 9.4, 2, C3, D2 H10 9.3, 4, C3, D2 H7 9.3, 1, C2, D1 H14 Page 2 Question 17 Answer A Increase in diameter allows more current to follow hence reducing the resistance. Question 18 Answer C Semiconductor is doped with a group three element. Question 19 Answer C UV light which has a high energy will knock out electrons from the metal in the receiving coil so allowing a stronger spark. Question 20 Answer B Planck’s hypothesis. Physics HSC Trial 2014 PEM 9.4, 3, C2, D4 H14 9.4, 3, C2, D7 H9 9.4, 2, C2, D1 H10 9.4, 3, C2, D3 and 6 H6 Page 3 Part B Sample answer Syllabus content, course outcomes and marking guide Question 21 9.3, 2, C3, D1 H7 and 9 The sound waves make the diaphragm vibrate. This Coherent description 3 marks vibration makes the solenoid vibrate. The moving solenoid is in a magnetic field and hence a current is Limited coherence 2 marks induced due to Lenz’s law. This is detected by the amplifier. A statement of Faradays/Lenz’s law 1 mark Question 22 9.2, 1, C2, D3 H6 7 (a) (i) EP = - 6.0 x 10 J (variations allowed e.g. - 6.2 x (i) 107 J) Correct answer 1 mark (a) (ii) R = (25 + 6.4) x 106 m = 31.4 x 106 m EP = - 1.4 x 107 J (b) Change in EP = EK required = - 1.4 x 107 - - 6.0 x 107 = 4.6 x 107 J (c) Air friction acts on the satellite hence increasing the energy required. The satellite needs to be launched by a rocket to achieve orbit which increases the mass and thus energy required. Question 23 (a) Metals – most number of free electrons n type semiconductor has less free electrons p type semiconductor has the least free electrons. (b) Metals Conduct through the outer free valence electrons. An electric field connected across the metal allows movement of the valence electrons which makes up current flow. 9.2, 1, C2, D3 (ii) Correct answer 9.2, 1, C2, D3 (b) Correct answer 9.2, 2, C2, D8 (c) two points covered one point covered 9.4, 3, C2, D4 (a) Correct answer 9.4, 3, C2, D1-3 (b) Complete coherent answer Limited answer Attempt at an answer H6 1 mark H6 1 mark H6 and 7 2 marks 1 mark H14 1 mark H3 and 13 3 marks 2 marks 1 mark n- type semiconductor Electrons move from the donor level into the conduction band allowing conduction to take place. p- type semiconductor Electrons move from a filled band into the acceptor band. This leaves behind a positive hole which allows conduction to take place. Physics HSC Trial 2014 PEM Page 4 Question 24 (a) move to a position so that the gravity of the planet is zero (or effectively zero). 9.2, 2, C2, D4 (a) Coherent answer (b) EP + EK = 0 (b) 9.2, 2, C2, D3 and 4 correct answer incorrect substitution H6 2 marks 1 mark (c) (i) 9.2, 2, C2, D8 correct answer incorrect substitution H6 2 marks 1 mark m1m2 + ½ mv2 = 0 r Ep ο½ ο G 2πΊπ π π£=√ 2 π₯ 6.67 π₯ 10−11 π₯ 3.5 π₯ 1016 40 π₯ 103 = √ πΉπ = πΉπ ππ£ 2 πΊππ = π π2 πΊπ π = √ 6.67 π₯ 10−11 π₯ 3.5 π₯ 1016 40 π₯ 103 (c) (ii) 1 mark = 10.8 m s-1 (c) (i) π£=√ H6 and 13 = 7.6 m s-1 (c) (ii) 9.2, 2, C2, D4 H6 Any suitable shape that indicates that the astronaut does not reach orbital velocity. 1 mark Physics HSC Trial 2014 PEM Page 5 Question 25 (a) (i) s = ut (ii) t v ο½ 4.2 = 0.84t to 1ο v2 c2 hence t = 5 years t0 = 2.7 years (b) (i) 5 x 2 = 10 years (ii) 2.7 x 2 = 5.4 years (c) (i) The term paradox is used because both answers are correct which is a contradiction. (ii) The paradox is resolved as two reference frames are involved and time passes more slowly for the moving reference frame compared to the Earth’s reference frame however both are correct for their own reference frame. Question 26 (a) Top coil is labelled secondary; bottom coil is labelled primary. (b) The transformer is step down. This means that the secondary coils should have less turns that the primary coil. The photograph shows that the top coil has less turns than the bottom hence the top coil is the secondary. (c) The function of the transformer core is to provide magnetic linkage between the primary and secondary coils so that the changing magnetic field in the primary is passed onto the secondary coil. The core is made of soft iron which passes the magnetic flux from one coil to another. Soft iron is used as it does not keep its magnetism so switches polarity easily hence reducing energy losses. The coil is made of laminated iron to reduce eddy current induced in the core so reducing heat losses. Physics HSC Trial 2014 PEM 9.2, 4, C2, D9 (a) (i) Correct answer 9.2, 4, C2, D9 (a) (ii) Correct answer 9.2, 4, C2, D9 (b) (i) Correct answer 9.2, 4, C2, D9 (b) (ii) Correct answer H6 1 mark H6 1 mark H6 1 mark H6 1 mark 9.2, 4, C3, D3 (c) (i) Coherent answer H4 and 13 9.2, 4, C2, D10 (c) (ii) coherent answer H13 (a) 9.3, 4, C2, D3 Correct labels 1 mark 1 mark H7, 9 and 13 1 mark 9.3, 4, C2, D2 and 3 (b) Correct answer H7 and 9 9.3, 4, C3, D 1 and 3 (c) coherent answer limited coherence attempt made to answer question H7 and 9 1 mark 3 marks 2 marks 1 mark Page 6 Question 27 (a) Current flowing in the coil produces a magnetic field. This magnetic field depending on its direction either adds or subtracts with the permanent magnetic field so producing a force on the sides of the coil. (b) (i) F = n B I L = 60 x 0.015 x 4 x 0.24 = 0.864 N (ii) Torque = Fd + Fd = 0.864 x 0.04 + 0.864 x 0.04 = 6.9 x 10-2 Nm (c) Torque due to the magnetic field = torque due to the spring. Question 28 (a) the output is AC. The output is from slip rings which does not reverse the output voltage. (b) the frequency of the ac is increased the output voltage is greater (c) the position shown in the diagram gives maximum output voltage. Physics HSC Trial 2014 PEM 9.3, 1, C3, D5 (a) Coherent answer Limited coherence H 7and 9 9.3, 1, C3, D5 (b) (i) Correct answer H7 and 9 9.3, 1, C2, D3 (b) (ii) Correct answer H7 and 9 9.3, 1, C3, D5 (c) Correct answer H7 and 9 9.3, 3, C2, D3 (a) Correct answer AND reason 2 marks 1 mark 1 mark 1 mark 1 mark H 14 1 mark 9.3, 3, C3, D1 (b) two effects correct one effects correct H7 and 14 9.3, 2, C2, D4 (c) Correct response H7 and 14 2 marks 1 mark 1 mark Page 7 Question 29 (a) (a) Line of best fit drawn with the same number of Correct line of best fit points below as above the line. If poor line of best fit (b) (i) Gradient = h = 1.77 x 10-19/(7.5 – 4.8) x 1014 h = 6.6 x 10-34 J s (ii) the threshold frequency f0 = 4.8 x 1014 Hz Work function = hf0 = 6.626 x 10-34 x 4.8 x 1014 = 3.2 x 10-19 J (c) Electrons are held to the metal ion by electrostatic attraction. This is the reason for the work function of a metal and differs for different metals. A photon of light needs to possess at least this energy if it is to eject an electron. This is described as the threshold frequency. Question 30 Before the invention of the transistor, communication devices (e.g., radios) used thermionic devices (vacuum tubes). These use a lot of energy in heating filaments, were slow to operate, bulky, expensive and fragile. The invention of the transistor helped overcome these problems in that transistors are small, robust, energy efficient and because they do not require a cathode to be heated are much faster. Hence transistors have led to a much improved communication technology over the old style vacuum tubes. Question 31 Advantages AC generators can have their output voltage increased by transformers for transmission over long distances. 9.4, 2, C2, D6 (b) (i) Gradient measured correctly Incorrect substitution 1 mark 0 marks H13 and 14 2 marks 1 mark 9.4, 2, C2, D6 H13 (b) (ii) Frequency measured from intercept correctly 1 mark 9.4, 2, C3, D2 (c) Coherent answer Limited coherence H10 and 13 9.4, 3, C3, D2 Coherent answer covering all points limited coherence attempt at answer H1, 3-5 5 marks 3 - 4 marks 1 – 2 marks 2 marks 1 mark 9.3, 1, C, D H4 and 13 One correct advantage and one correct disadvantage clearly provided 2 marks Only one advantage or disadvantage provided. 1 mark Disadvantages AC generators require their output voltage changed by diodes (rectifiers) if DC is required. Physics HSC Trial 2014 PEM Page 8 Question 32 9.4, 4, C2, D4, 5 and 6 H9, 13 and 14 Above the critical temperature The metals resistance decreases as temperature Coherent answer covering all points 4 marks decreases due to less lattice vibration and less interaction with the conduction electrons and Limited answer 1 to 3 marks lattice. It can be seen that resistance decreases as temperature decreases. At and below the critical temperature From the graph it can be seen that resistance drops to zero as the electrons form Cooper pairs. These electron pairs interact with the lattice causing the electrons to pass unimpeded through the lattice with no resistance. Physics HSC Trial 2014 PEM Page 9 Section II Question 33 Geophysics Sample answer Part (a) S waves are shear waves and are transverse, whereas P waves are compression waves and therefore longitudinal. The velocity of both types of waves increases with depth. P waves are faster than S waves but only P waves can travel through a liquid. Part (b) Geophysicists have developed remote sensing technologies which have led to increased knowledge of deforestation, crop disease, salinity, climate change, air pollution, etc. The geophysical methods developed in this area have an important role in forecasting and monitoring society’s efforts to reduce these hazards. Syllabus content, course outcomes and marking guide 9.5, 3, C2, D1 and 2 H8 (a) coherent answer 4 marks limited coherence 2 - 3 marks attempt at answer 1 mark 9.5, 5, C2, D2 (b) coherent answer limited coherence attempt at answer H4 6 marks 2 - 5 marks 1 mark Developments in the area of seismology have allowing early warnings to be given and this has saved the lives of many people living in tectonically active areas. Nuclear test ban treaties are based on seismic monitoring networks. These have led to the world being a safer place in terms of nuclear weapons development. No nations can now test nuclear weapons in secret. This has led to more open knowledge and discussion of developments in nuclear weapon technology. Part (c) (i) 3 r GM ο½ 2 T 4ο° 2 9.5, 2, C3, D4 (c) (i) correct calculation H6 1 mark Substitution changing 7.1 hours into seconds, gives 1.88 x 107 m (c) (ii) The height of the orbit of the satellite changes as it passes over varying gravitational fields caused by different densities of the Earth’s crust. These changes in height can be used to work out the density of the crust. Physics HSC Trial 2014 PEM 9.5, 2, C2, D4 and 5 (ii) coherent answer limited coherence H4 3 marks 1 - 2 marks Page 10 Part (d) The original theory of continental drift was that the continents moved relative to the sea floor. This idea was opposed as there was no mechanism known to provide the energy needed to move the continents across the sea floor. However the theory of plate tectonics has the continents sitting on crustal plates which include the sea floor and the continents move with those plates, not relative to them. Sea-floor spreading, the rising of molten mantle rock through crustal plate boundaries, pushing the plates apart provides the mechanism for motion of the crustal plates. As the molten rock cools the magnetite and haematite parts of the rock indicate the direction of the magnetic field at that time and place. Due to random reversals of the magnetic field, rocks solidifying at different times can have different directions of magnetisation. Mapping of the sea floor with magnetometers shows alternating regions of magnetisation around plate boundaries. Dating of isotopes gives the time of magnetic field reversals and shows that younger rock are nearest to the plate boundaries, and older rocks are further away, showing that crustal plates have moved apart due to the up-welling molten mantle rock pushing the plates apart. This shows that the crustal plates move apart, the continents moving with the sea floor, and no other method is needed to move the continents relative to the sea floor. Part (e) Description of the investigation carried out by the students with clear labelled diagrams. Physics HSC Trial 2014 PEM 9.5, 4, C2, D3 and 4 H1 and 2 (d) coherent answer with most points covered 6 marks coherent answer with a few points missing 3 - 5 marks attempt at answer 1 - 2 marks 9.5, 4, C3, D1 H2 (e) Provides a complete and logical description of the investigation 4-5 marks Provides a partial description of the investigation 2 - 3 marks Provides a statement that is relevant to how the Earth’s magnetic field varies with latitude. 1 mark Page 11 Question 34 Medical Physics Sample answer Part (a) The two gamma rays produced move away in opposite directions due to conservation of momentum. Gamma ray detectors arranged around the patient can determine the position of the emission within the patient from the time delay between each gamma ray. A composite image is formed from all pairs of gamma rays allowing the position of emission to be found. Part (b) Many possible answers are possible, for example: The radioactive tracer, technetium-99m, is put into a pharmaceutical product, which is ingested/injected into body. The technetium emits gamma rays so its path through the body can be monitored. The properties of the radioisotope required are: Must decay mainly by gamma radiation of a suitable energy value, alpha and beta would damage and be absorbed by the body. Half-life must be long enough for diagnosis to take place but short enough for it not to remain in the body for a long time. Must be possible to monitor the gamma rays emitted. Must not be chemically poisonous. Must be able to reach part of body being diagnosed. From the gamma ray images produced it is possible to diagnose if an organ, e.g. the lungs are working correctly. Part (c) Coherent description with labelled diagrams of experiment performed by students. Part (d) X-ray are passed onto the leg. X-rays pass through the leg however bones absorb more X-rays than soft tissue because bones have a greater density. The Xrays passing through the leg expose a photographic film, showing the image of the bones which can be checked for fractures, etc. Physics HSC Trial 2014 PEM Syllabus content, course outcomes and marking guide 9.6, 3, C2, D5 H7 and 13 (a) Coherent answer 3 marks Limited coherence 1-2 marks 9.6, 3, C2, D1 and 2 (b) Coherent answer Limited coherence H4 4 marks 2 – 3 marks 9.6, 2, C3, D3 H8 (c) Provides a thorough description of an investigation into optical fibre technology. 4-5 marks Provides a partial description of an investigation into optical fibre technology. 2-3 marks Provides a correct statement connected to optical fibre technology. 1 mark 9.6, 2, C3, D1 H8 (d) Coherent answer 3 marks Limited coherence 1-2 marks Page 12 Part (e) Ultrasound is a wave motion and if there is any motion of the object that reflects the ultrasound, then the frequency detected at the transducer will be different from that emitted. The ultrasound source is stationary and blood in a blood vessel is moving towards the transducer. The apparent frequency of the ultrasound increases because the reflector, in this case blood, is moving towards the transducer. By monitoring the change in frequency of the ultrasound it is possible to obtain the average speed of the blood. This technique can be used to obtain information on blood flow characteristics in the heart. Part (f) (i) Z = ρv = density x velocity Muscle: Zmuscle = 1070 x 1585 = 1.70 x 106 kg m-2 s-1 9.6, 1, C2, D8 (e) Coherent answer Limited coherence 9.6, 1, C3, D5 (f)(i) Both values correct One value correct H8 and 13 3 marks 1-2 marks H8 2 marks 1 mark Bone: Zbone = 1910 x 4080 = 7.79 x 106 kg m-2 s-1 (ii) Substituting into the equation ο ο I r οZ 2 ο Z1 ο 1.70 x10 6 ο 7.79 x10 6 ο½ = I o οZ 2 ο« Z1 ο2 1.70 x106 ο« 7.79 x106 2 ο ο 2 2 gives a value of Ir/Io of 0.412 9.6, 1, C3, D1 and 5 H8 (ii) Correct substitution into equation using values from part (i). Note carry through errors allowed. 2 marks Incorrect attempt made to use the equation. 1 mark Hence 41.2% would be reflected by the boundary. Part (g) Precession is when the axis of rotation of the nuclei describes a circle. The spin of the nuclei – in the case of Hydrogen the spin of a proton, generates a magnetic field. Different nuclei produce different magnetic fields. When this magnetic field is subjected to an external magnetic field the forces interact and precession results. The frequency of precession is increased with the strength of the external field and is also determined by the composition of the nuclei. Physics HSC Trial 2014 PEM 9.6, 4, C2, D5 coherent answer. limited coherence attempt at answer H7, 9 and 13 3 marks 2 marks 1 mark Page 13 Question 35 9.7 - Astrophysics Sample answer Part (a) Advantages: No atmospheric distortion. No problems with weather e.g. clouds, as the telescope is well above the atmosphere. Wavelengths that are absorbed by the Earth’s atmosphere can be observed in space giving information that is otherwise unobtainable from the Earth’s surface. No seeing problems. Disadvantages Very expensive and in general if the telescope has a problem is it not possible to repair. The size of the telescope is limited, i.e. the primary mirror will be a lot smaller than some of the larger telescopes on Earth. Part (b) tan θ = r/d r = 6370 km θ = 0.00250 d = 1.46 x 108 km Physics HSC Trial 2014 PEM Syllabus content, course outcomes and marking guide 9.7, 1, C2, D2 and 4 H3 and 13 9.7, 1, C3, D1 (a) All points substantially covered 5 marks One or two errors or missing detail 4 marks A reasonable attempt made 2-3 marks Limited attempt 1 mark 9.7, 2, C3, D1 H8 (b) correct formula and substitution 2 marks Incorrect substitution or incorrect formula 1 mark Page 14 Part (c) Visual binaries These are observed by observing the star as two separate objects. The limitation is the resolution of the telescope. Due to the distortion of the atmospheric space telescopes are better at observing visual binaries. 9.7, 5, C2, D1 H1 and 13 (c) Complete coherent answer including limitations 6 marks most points covered 4-5 marks limited answer 1-3 marks Astrometric binaries Telescopic observation of the binary shows that the observable star wobbles showing the gravitational presence of a second unseen star. Limitations of this method are that the unseen star needs to be large enough to cause the observable star to wobble. Eclipsing binaries The light curve of the star shows the presence of the component stars. This is illustrated below. The limitations are that changes in the intensity of light must be large enough to be measured. Spectroscopic binaries The spectra of the star shows a Doppler shift. As one of the stars moves away from the Earth the light is red shifted and when the star moves towards the Earth the light is blue shifted. The limitation of this method is that measurements of small wavelength changes are necessary. Part (d) M = - 1.0 m = 0.5 M ο½ m ο 5 log ( d ) 10 ο 1.0 ο½ 0.5 ο 5 log ( d ) 10 d ο½ 19.95 pc Physics HSC Trial 2014 PEM 9.7, 4, C3, D1 H14 (d) correct formula and correct substitution shown 2 marks or correct formula and an incorrect attempt at substitution 1 mark Page 15 Part (e) (i) globular cluster (ii) young open cluster 9.7, 6, C3, D1 H7 (e) (i) Correct HR diagram with labels 1 mark Globular cluster should have no blue main sequence stars but should have many giants. (e) (ii) Correct HR diagram with labels 1 mark Young open cluster should have blue main sequence stars and few giants. (iii) Globular clusters are mainly made up of old stars and so are missing the massive main sequence stars which have evolved off from the main sequence. 9.7, 6, C3, D2 (e) (iii) coherent answer limited coherence H13 and 14 2 marks 1 mark Young open clusters have not had enough time for the larger stars to evolve and move off the main sequence hence they contain a full range of main sequence stars but few giants. Physics HSC Trial 2014 PEM Page 16 Part (f) (i) Star X has the largest radius as it has a high luminosity but lower temperature and as luminosity is dependent on both radius and temperature then it must be very large. Part (f) (ii) Physical properties star V – very large, high temperature and luminosity star Z – very small, low temperature and luminosity 9.7, 6, C3, D2 (f) (i) coherent answer limited coherence 9.7, 6, C2, D3 and 4 (f) (ii) All points substantially correct One or two errors or missing detail A reasonable attempt made Limited attempt H7 and 14 2 marks 1 mark H7, 9 and 13 4 marks 3 marks 2 marks 1 mark Nucleosynthesis reactions star V – produces Helium at the core through the C N O cycle Star Z – produces Helium at the core through the P-P cycle Eventual fate Star V has a very short lifetime – supernovas to produce either a neutron star or a black hole. Star Z– has a very long lifetime – no stars of this type are old enough to have evolved off of the main sequence as this takes longer that the current age of the universe. Physics HSC Trial 2014 PEM Page 17 Question 36 9.8 - From Quanta to Quarks Sample answer Part (a) The neutron was identified by James Chadwick. Alpha particles bombarded either Boron or Beryllium and a proton was ejected. These neutrons were not easy to detect as they are uncharged. The neutrons were made to interact with paraffin wax and it was noticed that protons were ejected. Using conservation of momentum and energy Chadwick worked out that the uncharged radiation emitted was similar in mass to that of a proton and was the particle we now call the neutron. Part (b) Neutrons because they are uncharged can easily penetrate materials. Because they have a wave nature (according to de Broglie) which can be altered they are used to work out the properties of materials by scattering experiments. Part (c) The LHC has played an important part in verifying the standard model of matter. The LHC allows charged particles (protons) to be accelerated up to speeds approaching that of light. When two proton beams collide they have enough energy to produce new particles from which can be inferred the various range of fundamental particles, quarks, leptons, etc. The LHC discovered the Higgs Boson which is an essential requirement of the standard model of matter. The expenditure on the LHC has therefore been worthwhile as it has verified the standard model which explains matter and its constituents. It also may lead to other discoveries which may have commercial/financial benefits for mankind. Physics HSC Trial 2014 PEM Syllabus content, course outcomes and marking guide 9.8, 3, C2, D2 H1 (a) coherent answer 3 marks limited coherence 2 marks attempt made to answer question 1 mark 9.8, 4, C2, D3 H6 and 8 (b) Neutrons easily penetrate matter as they are uncharged. 1 mark The wavelength of the neutrons is suitable for scattering experiments. 1 mark 9.8, 4, C2, D4 H1, 3, 5 and 13 (c) Coherent answer with most points 5 marks Limited coherence 2 - 4 marks Attempt at an answer 1 mark Page 18 Part (d) (i) Nuclear fission is the process where a nucleus is bombarded with neutrons causing it to split into two or more parts with the release of more neutrons. 9.8, 4, C2, D1 (d) (i) Coherent answer Limited coherence H7 and 13 (ii) The moderator slows down the fast fission neutrons which are emitted from the nucleus. This is necessary as fission with Uranium requires slow speed neutrons. 9.8, 4, C2, D1 (d) (ii) Coherent answer Limited coherence H7 (iii) To control the nuclear reaction the number of neutrons causing fission must equal the number of neutrons released from fission. The cadmium rods, which absorb neutrons, are lowered between the fuel rods to reduce the number of neutrons and hence have a 1:1 relationship which provides a stable reaction. Part (e) (i) Bohr suggested that the electrons orbited at discrete or fixed energy levels and that an electron could only be in one of these fixed energy levels. This overcame the problem with the Rutherford model which should have been unstable as by classical Physics the electron should have emitted energy and spiralled into the nucleus. 9.8, 4, C2, D1 (d) (iii) Coherent answer Limited coherence H6 and 7 9.8, 1, C3, D4 (e) (i) Coherent answer Limited coherence H1 and 2 (e) (ii) The problems with the Bohr model were: It only worked with the hydrogen atom and did not work with larger atoms. It did not explain the relative brightness of the spectral lines. It did not explained Hyperfine lines. It did not explain the splitting of spectral lines in a magnetic field. Part (f) Diagrams showing the constituents of the atom and how protons and neutrons are made of both up and down quarks. Strong nuclear force with gluons shown holding the quarks together and also holding the protons and neutrons together. Electromagnetic force between the proton and electron shown (note not shown on the following diagram). Students might also show the gravitational force between particles. Physics HSC Trial 2014 PEM 9.8, 1, C2, D6 (e) (ii) Any two problems outlined correctly Any one problem outlined correctly 2 marks 1 mark 2 marks 1 mark 2 marks 1 mark 2 marks 1 mark H13 2 marks 1 mark 9.8, 1, C3, D4 H7, 9 and 13 (f) Comprehensive answer with most points 5 marks Some points missing 2 - 4 marks Attempt at an answer 1 mark Page 19 Strong nuclear force Physics HSC Trial 2014 PEM Page 20 Question 37 The Age of Silicon Sample answer Part (a) Similarities The transistor and integrated circuit are both built with the same material, that is, silicon. Both devices operate at low voltages. Differences The differences are that transistors do not have other components in them unlike the integrated circuit which has resistors, capacitors and many transistors. Part (b) Light emitting diodes (LEDs) are made of P and Ntype silicon joined together. The LED is contained in a plastic case which is transparent to the light frequency the LED emits. Forward-biasing the diode makes charge carriers move across the P-N junction. The P-N junction then gives off light. The colour of the LED depends on the semiconductor material and the doping chemicals. Part (c) Transducers are used to measure environmental processes for example: temperature, brightness, air pressure, humidity, etc. Transducers respond to the environment and change their response into a continuously varying electrical signal, usually a voltage, which corresponds to the environmental processes that produced it. In this way environmental properties can be measured. Part (d) Silica which is silicon dioxide has a refractive index that is suitable for total internal reflection. The refractive index can be changed by doping allowing a gradual change in the critical angle which is required for optical fibres. This is called optical non-linearity. Silica can also be easily formed into thin fibres. Part (e) (i) Correct calculation (800/800 + 450) x 12 volts = 7.7 volts (ii) Electronic circuits require a range of voltages to operate correctly. The supply voltage provided (from a battery or power supply) needs to be reduced to the correct voltage to operate many components e.g. to bias a transistor and this can be Physics HSC Trial 2014 PEM Syllabus content, course outcomes and marking guide 9.9, 1, C2, D4 H13 (a) Coherent answer with both similarities and differences 3 marks Limited coherence 2 marks Attempt at an answer 1 mark 9.9, 4, C2, D3 (b) Coherent answer Limited coherence 9.9, 3, C2, D1 9.9, 3, C3, D3 (c) Coherent answer Limited coherence Attempt at an answer 9.9, 1, C3, D2 (d) Coherent answer Limited coherence Attempt at an answer 9.9, 2, C3, D3 (e)(i) Correct answer 9.9, 2, C2, D5 (e) (ii) Coherent answer Limited coherence H7 2 marks 1 mark H7 and 13 4 marks 2 -3 marks 1 mark H3 and 13 3 marks 2 marks 1 mark H9 1 mark H3 2 marks 1 mark Page 21 provided by a potential divider circuit. Part (f) A non-inverting operational amplifier produces an output signal that is in phase with the input signal. The inverting operational amplifier produces an output signal that is 1800 out of phase with the input. The inverting input is marked with a negative on the diagram below and the non-inverting output is marked with a positive. Physics HSC Trial 2014 PEM 9.9, 6, C2, D7 and 9 Coherent answer Limited coherence Attempt at an answer H7 4 marks 2 - 3 marks 1 mark Page 22 Part (g) (i) AND gate 9.9, 5, C2, D1 H9 and 13 9.9, 5, C3, D1 Three correct diagrams and truth tables 3 marks Two correct diagrams and truth tables 2 marks One correct diagram and truth tables 1 mark OR gate Invertor gate (ii) Half adder Physics HSC Trial 2014 PEM (ii) 9.9, 5, C2, D2 Correct diagram and truth table Some errors H9 and 13 3 marks 1 – 2 marks Page 23