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2010 H I G H E R S C H O O L C E R T I F I C AT E E X A M I N AT I O N Physics Total marks 100 General Instructions Reading time 5 minutes Working time 3 hours Write using black or blue pen Draw diagrams using pencil Board-approved calculators may be used A data sheet, formulae sheets and Periodic Table are provided at the back of this paper Write your Centre Number and Student Number at the top of pages 13, 15, 17, 21, 23 and 25 S ection I Pages 2 25 75 marks This section has two parts, Part A and Part B Part A 20 marks Attempt Questions 1 20 Allow about 35 minutes for this part Part B 55 marks Attempt Questions 21 32 Allow about 1 hour and 40 minutes for this part S ection II Pages 27 36 25 marks Attempt ONE question from Questions 33 37 Allow about 45 minutes for this section 3430 Section I 75 marks Part A 20 marks Attempt Questions 1 20 Allow about 35 minutes for this part Use the multiple-choice answer sheet for Questions 1 20. 1 The International Space Station orbits Earth at an altitude of approximately 330 km. Another satellite, Meteosat, is in geostationary orbit at an altitude of 36 000 km. Which of the following correctly compares the orbital velocity and orbital period of these satellites? International Space Station Meteosat (A) Shorter orbital period (B) Lesser orbital velocity Shorter orbital period (C) Greater orbital velocity Longer orbital period (D) 2 Greater orbital velocity Lesser orbital velocity Longer orbital period Which of the following best describes Galileo s analysis of projectile motion? (A) A projectile launched with a great enough velocity would escape Earth s gravity. (B) A projectile would travel in a straight line until it ran out of momentum, then it would fall. (C) A projectile launched from the equator towards the east with a great enough velocity would orbit Earth. (D) A projectile would travel in a parabolic path because it has constant horizontal velocity and constant vertical acceleration. 3 A scientist at a particle accelerator laboratory observes the lifetime of a particular subatomic particle to be 1.0 10 6 s when it is travelling at 0.9999 c. What would the lifetime of the particle be if it were stationary in the laboratory? (A) 1.4 10 8 s (B) 4.5 10 8 s (C) 1.0 10 6 s (D) 7.1 10 5 s 2 4 A ball was thrown upward at an angle of 45 . It landed at the same height as thrown. Which graph best represents the kinetic energy of the ball during its time of flight? (A) (B) Ek Ek t t (C) Ek (D) Ek t t 5 A 200 g mass is swung in a horizontal circle as shown. It completes 5 revolutions in 3 seconds. The circle has a 2 m diameter. NOT TO SCALE string mass Which of the following forces is closest to that required to keep the mass moving in this circle? (A) 0.50 N (B) 2.5 N (C) 10 N (D) 20 N 3 6 Which statement about the Michelson-Morley experiment is correct? (A) It was a valid experiment because it tested the principle of relativity. (B) It was a valid experiment because it took into account the known properties of light. (C) It was an invalid experiment because it did not take into account the particle nature of light. (D) It was an invalid experiment because the speed of Earth through the aether was not taken into account. 7 The acceleration due to gravity on the surface of Mercury is 3.6 m s 2. How much does a 2.0 kg brick weigh on Earth and on Mercury? Weight of brick on Earth Weight of brick on Mercury (A) 2.0 kg (B) 19.6 kg 7.2 kg (C) 19.6 N 19.6 N (D) 8 2.0 kg 19.6 N 7.2 N While drilling into a tough material, the DC motor in an electric drill is slowed significantly. This causes its coils to overheat. Why do the coils overheat? (A) The resistance of the coils increases significantly. (B) The increased friction on the drill is converted to heat. (C) The back emf decreases and so the current in the coils increases. (D) The induced eddy currents increase and so more heat is produced. 9 Why is high voltage used to transmit electrical energy from power stations to users? (A) It helps to protect the system from lightning strikes. (B) It allows the supporting structures to have smaller insulators. (C) It minimises the effects of the electrical resistance of the wires. (D) It ensures that, even with voltage losses, 240 V will still reach the user. 4 10 The diagram shows a model of a transformer in a circuit. 1 2 AC voltage R Which of the following correctly identifies Part 1 and Part 2 and the function of this transformer? Part 1 Part 2 Function of transformer (A) Primary coil Secondary coil Step-up (B) Secondary coil Primary coil Step-down (C) Primary coil Secondary coil Step-down (D) Secondary coil Primary coil Step-up 5 11 Two copper rings lie in the same plane as shown. I An increasing current flows clockwise around the outer ring. What happens in the inner ring? (A) A decreasing clockwise current flows. (B) A decreasing anticlockwise current flows. (C) An increasing clockwise current flows. (D) An increasing anticlockwise current flows. 12 The terminal velocity (vt ) of a spherical object in Earth s atmosphere is proportional to the square root of its radius (r). Which graph correctly shows this relationship? (B) (A) v2 t vt r r (C) (D) vt vt r r2 6 13 What was Max Planck s contribution to the development of quantum physics? (A) He combined the quantised wave and particle models of light. (B) He analysed the photoelectric effect and described light as quantised energy packets. (C) He explained black body radiation and the photoelectric effect using quantised energy. (D) He hypothesised that the radiation emitted and absorbed by the walls of a black body cavity is quantised. 14 Heinrich Hertz devised and performed an experiment to investigate electromagnetic waves. In this experiment he was able to determine the speed of the waves. Which method was used to determine the speed? (A) Timing how long it took the wave to travel a known distance (B) Producing a wave of known wavelength and using reflection to determine the frequency (C) Producing a wave of known frequency and using interference to determine the wavelength (D) Using an interference pattern to determine the distance travelled and time taken 7 15 A charged particle, q, enters a uniform magnetic field B at velocity v. The particle follows a circular path of radius r as shown. B r q v If the magnitude of the magnetic field were doubled and the other variables were kept constant, what would the new radius be? (A) r 4 (B) r 2 (C) 2r (D) 4r 16 A cathode ray beam strikes the screen at point P, producing a bright spot. The north end of a magnet is brought towards the beam as shown. A D P B C Towards which point does the bright spot move? (A) A (B) B (C) C (D) D 8 N S 17 JJ Thomson determined the charge/mass ratio of the electron by constructing a device which contained (A) perpendicular magnetic fields. (B) perpendicular electric fields. (C) parallel electric and magnetic fields. (D) perpendicular electric and magnetic fields. 18 What did William and Lawrence Bragg use X-rays to investigate? (A) The speed of light (B) The emission of photoelectrons (C) The crystal structure of materials (D) The charge to mass ratio of an electron 9 19 Why is pure copper a better electrical conductor than pure silicon? (A) Electrons move through copper in pairs. (B) Silicon contains fewer free electrons than copper. (C) Copper has a conduction band and silicon does not. (D) Copper atoms contain more electrons than silicon atoms. 20 The diagrams show possible ways to connect the coils and rotor of a DC motor to a DC power supply. In which circuit will the rotor turn in a clockwise direction? (B) (A) + + (C) + (D) + 10 BLANK PAGE 11 BLANK PAGE 12 Board of Studies NSW 2010 2 010 HIGHER SCHOOL CERTIFIC ATE EXAMINATION Physics Centre Number Section I (continued) Part B 55 marks Attempt Questions 21 32 Allow about 1 hour and 40 minutes for this part Student Number Answer the questions in the spaces provided. These spaces provide guidance for the expected length of response. Show all relevant working in questions involving calculations. Question 21 (2 marks) The optimum angle for safe re-entry of a space vehicle into Earth s atmosphere is angle B. Outline consequences of the space vehicle entering the atmosphere at angle A AND angle C. Space vehicle A B C Atmosphere Earth Earth NOT TO SCALE ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... 3431 13 2 Question 22 (5 marks) An astronaut on the Moon throws a stone from the top of a cliff. The stone hits the ground below 21.0 seconds later. The acceleration due to gravity on the moon is 1.6 ms 2. 150 150 m 300 300 m (a) Calculate the horizontal component of the stone s initial velocity. Show your working. 1 ............................................................................................................................... ............................................................................................................................... (b) Calculate the vertical component of the stone s initial velocity. Show your working. 2 ............................................................................................................................... ............................................................................................................................... ............................................................................................................................... ............................................................................................................................... (c) On the diagram, sketch the path that the stone would follow if the acceleration due to gravity was higher. The initial velocity is the same. 14 Board of Studies NSW 2010 2 2 010 HIGHER SCHOOL CERTIFIC ATE EXAMINATION Physics Centre Number Section I Part B (continued) Student Number Question 23 (5 marks) A train is travelling on a straight horizontal track. A student on the train attaches a mass on a string to the ceiling of the train. The student observes that the mass remains stationary in the position shown. Mass (a) Why does the mass hang with the string at an angle to the vertical? 2 ............................................................................................................................... ............................................................................................................................... (b) The string then breaks and the mass falls. Indicate the path of the mass on the diagram above. Explain why the mass has taken this path. ............................................................................................................................... ............................................................................................................................... ............................................................................................................................... ............................................................................................................................... ............................................................................................................................... ............................................................................................................................... 3432 15 3 Question 24 (3 marks) In 2014 the James Webb Space Telescope (JWST) will be placed in orbit around the Sun. Earth and the JWST will follow the orbits shown, with identical orbital periods. This appears to contradict Kepler s law of periods. Sun Earth JWST NOT TO SCALE Why is it possible for the JWST to orbit the Sun with the same orbital period as Earth? In your answer, refer to Kepler s law of periods. ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... 16 Board of Studies NSW 2010 3 2 010 HIGHER SCHOOL CERTIFIC ATE EXAMINATION Physics Centre Number Section I Part B (continued) Student Number Question 25 (4 marks) The mass of a rocket decreases during launch as it burns fuel, as shown in the graph. The rocket engine produces a constant upward force on the rocket. Mass of rocket t1 (a) t2 Time How does the law of conservation of momentum apply to the motion of the rocket? 2 ............................................................................................................................... ............................................................................................................................... ............................................................................................................................... ............................................................................................................................... (b) Why do the g-forces on an astronaut in the rocket differ at times t1 and t2? ............................................................................................................................... ............................................................................................................................... ............................................................................................................................... ............................................................................................................................... 3433 17 2 Question 26 (5 marks) A bar magnet is dropped through the centre of a solenoid connected to a data logger as shown. S N Data logger Voltage sensor Solenoid The data are recorded in the graph as shown. 1.0 Potential difference (V) 0.8 0.6 X 0.4 0.2 0 0.2 0.4 0.6 Y 0.8 1.0 0 0.1 0.2 0.3 0.4 Time (s) (a) Why is the magnitude of the potential difference at Y greater than at X ? ............................................................................................................................... ............................................................................................................................... ............................................................................................................................... ............................................................................................................................... Question 26 continues on page 19 18 2 Question 26 (continued) The magnet is dropped again with two changes being made. 3 1. It is dropped from a greater height. 2. The south pole of the magnet is pointing down. Sketch a graph that represents the most likely outcome of this new experiment. 1.0 0.8 Potential difference (V) (b) 0.6 0.4 0.2 0 0.2 0.4 0.6 0.8 1.0 0 0.1 0.2 0.3 Time (s) End of Question 26 19 0.4 Question 27 (6 marks) Magnetic resonance imaging is a current technology that uses superconductors. Identify two OTHER technologies that use superconductors. Evaluate the impact of these technologies on society and the environment. ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ........................................................................................................................................ ......................................................................................................................................... ......................................................................................................................................... 20 Board of Studies NSW 2010 6 2 010 HIGHER SCHOOL CERTIFIC ATE EXAMINATION Physics Centre Number Section I Part B (continued) Student Number Question 28 (4 marks) A copper rod is placed on a wooden frame, which is placed on an electronic balance. A length of 0.2 m of the rod passes at right angles to a horizontal magnetic field. magnetic field 0.2 m 0.3 A insulating frame Electronic balance When a current of 0.3 A is passed through the rod, the reading on the balance increases by 7.5 10 4 kg. What is the strength and direction of the magnetic field? ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... 3434 21 4 Question 29 (3 marks) Two sets of plates deflect an electron beam in a cathode ray oscilloscope to produce the trace on the screen as shown. Explain how the deflection plates produce this pattern. ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... 22 Board of Studies NSW 2010 3 2 010 HIGHER SCHOOL CERTIFIC ATE EXAMINATION Physics Centre Number Section I Part B (continued) Student Number Question 30 (5 marks) Pure germanium can be doped by adding small amounts of boron. (a) Is the doped germanium an n-type or a p-type semiconductor? Justify your answer. 2 ............................................................................................................................... ............................................................................................................................... ............................................................................................................................... ............................................................................................................................... (b) Explain how the addition of boron alters the electrical conductivity of germanium. ............................................................................................................................... ............................................................................................................................... ............................................................................................................................... ............................................................................................................................... ............................................................................................................................... ............................................................................................................................... 3435 23 3 Question 31 (5 marks) (a) What is the energy of a photon having a wavelength of 1000 nm? 2 ............................................................................................................................... ............................................................................................................................... ............................................................................................................................... ............................................................................................................................... (b) Explain why light having a wavelength longer than a certain value does not produce an electric current in a photocell. ............................................................................................................................... ............................................................................................................................... ............................................................................................................................... ............................................................................................................................... ............................................................................................................................... ............................................................................................................................... 24 Board of Studies NSW 2010 3 2 010 HIGHER SCHOOL CERTIFIC ATE EXAMINATION Physics Centre Number Section I Part B (continued) Student Number Question 32 (8 marks) Two significant problems that will affect a manned spaceflight to Mars are: the changes in gravitational energy protecting the space vehicle from high-speed electrically charged particles from the Sun. Use your understanding of physics to analyse each of these problems. ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... ......................................................................................................................................... 3436 25 8 BLANK PAGE 26 Board of Studies NSW 2010 2 010 HIGHER SCHOOL CERTIFIC ATE EXAMINATION Physics Section II 25 marks Attempt ONE question from Questions 33 37 Allow about 45 minutes for this section Answer the first parts of the question in a writing booklet. Answer the rest of the parts in a SEPARATE writing booklet. Extra writing booklets are available. Show all relevant working in questions involving calculations. Pages Question 33 Question 34 Medical Physics ................................................................... 30 31 Question 35 Astrophysics ......................................................................... 32 33 Question 36 From Quanta to Quarks ............................................................. 34 Question 37 3437 Geophysics ........................................................................... 28 29 The Age of Silicon ............................................................... 35 36 27 Question 33 Geophysics (25 marks) Answer parts (a) (b) in a writing booklet. (a) (i) List THREE properties of earth materials studied in geophysics. 1 (ii) Observations of the period of a pendulum on a ship show variations with location. 3 Explain how these observations could be used to deduce information about the shape of Earth. Your answer must include a description of the shape of Earth. (iii) The period of a pendulum is T = 2 l . g 2 The period of a particular pendulum is measured at one location as 2.00 seconds. When measured at a second location the period is 2.05 seconds. Determine the ratio of the strength of the gravitational field at the first location to that at the second location. (b) How are gravity measurements used to obtain information about the structure of Earth? Question 33 continues on page 29 28 6 Question 33 (continued) Answer parts (c) (d) in a SEPARATE writing booklet. (c) Seismic waves provide information about the larger scale structure of Earth. (i) 2 Describe the properties of S and P waves. (ii) The speed of P waves is given by P = The speed of S waves is given by S = K+ 4 3 . 3 . K, and are all positive quantities increases with depth , which is zero for a liquid, increases with depth at a faster rate than From this information about S and P waves, deduce how their velocities vary with depth. (iii) In what way are the paths of the S and P waves shown below incorrect? 2 O P S (d) There is current acceptance of the idea that the continents have moved relative to each other. Why was there initial reluctance to accept this idea, and what evidence led to its acceptance? End of Question 33 29 6 Question 34 Medical Physics (25 marks) Answer parts (a) (c) in a writing booklet. (a) Describe how an X-ray image of the bones in the hand is produced. 3 (i) What is ONE advantage and ONE disadvantage of using a radioisotope with a 6 hour half-life for medical imaging? 2 (ii) (b) The half-life of Tc 99m is 6 hours. 2 Copy the following set of axes into your writing booklet, and draw a graph to show how the mass of a 10 g sample of Tc 99m changes over 18 hours. 10 8 6 Mass (g) 4 2 0 0 (c) 3 6 9 12 Time (h) 15 18 (i) Why is hydrogen the most commonly targeted element in the magnetic resonance imaging process? 2 (ii) Describe how energy from the radio frequency oscillator of a magnetic resonance imaging machine interacts with hydrogen to obtain information about the inside of the body. 3 Question 34 continues on page 31 30 Question 34 (continued) Answer parts (d) (e) in a SEPARATE writing booklet. (d) (i) The acoustic impedance of air is 400 kg m 2 s 1. 3 Tissue Density (kg m 3) Velocity of sound (m s 1) Muscle 1076 1580 Bone 1912 4080 Brain 1025 1540 Calculate the intensity of the reflected ultrasound at the interface between chest muscle and air as a proportion of the incident intensity. (ii) (e) Describe how the Doppler effect is used in ultrasound imaging and outline information that a Doppler ultrasound scan can provide about blood flow in the heart. A cancer specialist has access to ultrasound, CAT and PET scanners. Which of these technologies is the most appropriate to detect a 3 mm brain tumour? Justify your choice. End of Question 34 31 4 6 Question 35 Astrophysics (25 marks) Answer parts (a) (b) in a writing booklet. (a) (i) The Japanese radio telescope HALCA was placed in an elliptical orbit which took it as far as 21 000 km from Earth. It took measurements simultaneously with ground-based radio telescopes. 3 Explain the benefit that the HALCA telescope gives radio astronomers. (ii) (b) SOFIA is an infrared telescope. It is operated from high-altitude aircraft. Give TWO reasons for the greater validity of data from this telescope, compared to ground-based observations. 2 Properties of stars, including their surface temperature and chemical composition, can be measured by using their spectra. (i) Identify other properties of stars which can be determined from their spectra. 2 (ii) Explain how surface temperatures and chemical compositions of stars can be determined from their spectra. 5 Question 35 continues on page 33 32 Question 35 (continued) Answer parts (c) (d) in a SEPARATE writing booklet. Hertzsprung-Russell diagrams can be used to deduce the properties of stars. Luminosity (solar units) (c) 10 4 W 10 2 1 10 2 Z 10 4 O B A F G K M Spectral type (i) Identify the type of stars found in region Z on the above diagram. 1 (ii) Describe the relationship between the masses of main sequence stars and their luminosities AND lifetimes. 2 (iii) Contrast the energy production processes of stars in regions W and Z. 2 (iv) Copy the axes from the above Hertzsprung-Russell diagram into your writing booklet. Sketch a Hertzsprung-Russell diagram for the stars in an ancient globular cluster on these axes. 2 (d) Identify THREE advances in measurement technologies, and describe how they have improved our understanding of celestial objects. 6 End of Question 35 33 Question 36 From Quanta to Quarks (25 marks) Answer parts (a) (d) in a writing booklet. (a) Outline the relationship between Bohr s atomic model and Planck s equation E = hf. 3 (b) Calculate the wavelength of a photon which is emitted when an electron in a hydrogen atom moves from energy level n = 4 to n = 2. 2 (c) How did Louis de Broglie explain the stability of electron orbits in hydrogen atoms? 3 (d) Number of -particles Energy of -particles E max How did Pauli account for the distribution of energies in the -decay curve? 2 Answer parts (e) (g) in a SEPARATE writing booklet. (e) (i) James Chadwick discovered the neutron in 1932. How did Chadwick apply conservation laws? 3 (ii) Outline how the properties of neutrons make them useful in scattering experiments. 2 (f) Account for the existence of stable isotopes, referring to the forces which act within the atomic nucleus. 3 (g) Important fundamental discoveries in physics often lead to applications which have a significant effect on society. 7 Evaluate this statement, with reference to the contributions of Rutherford, Einstein and Fermi to the development of the atomic bomb. 34 Question 37 The Age of Silicon (25 marks) Answer parts (a) (b) in a writing booklet. A circuit and a graph of a thermistor characteristic curve are shown. +5 V Thermistor +5 V 10 k Vt 10 k 10 k Section A R3 100 k + +5 V Vo Section B Thermistor characteristic curve 100 000 Resistance ( ) (a) 10 000 1000 100 0 20 40 60 80 Temperature ( C) 100 (i) What is the function of the circuit in Section A? 1 (ii) Ignoring the rest of the circuit, what is the value of Vt at 60 C? 2 (iii) Explain the function of the circuit in Section B. In your answer, include an explanation of the function of resistor R3. 4 Question 37 continues on page 36 35 Question 37 (continued) (iv) Copy the following axes into your writing booklet, and draw a graph of the output voltage versus temperature, as temperature increases from 0 C to 100 C. 3 Vo (V) 0 (b) 0 100 T ( C) Outline the construction and operation of a relay. Include diagrams in your answer. 4 Answer parts (c) (e) in a SEPARATE writing booklet. (c) In your writing booklet, draw a truth table for the following logic circuit. I0 I1 3 O0 I2 (e) (i) What is the function of an input transducer? 1 (ii) (d) What type of transducer is an LED? 1 Analyse the effect of the rapid development of integrated circuits on society. End of paper 36 6 BLANK PAGE 37 BLANK PAGE 38 Board of Studies NSW 2010 2 010 HIGHER SCHOOL CERTIFIC ATE EXAMINATION Physics DATA SHEET Charge on electron, qe 1.602 10 19 C Mass of electron, me 9.109 10 31 kg Mass of neutron, mn 1.675 10 27 kg Mass of proton, mp 1.673 10 27 kg Speed of sound in air 340 m s 1 Earth s gravitational acceleration, g 9.8 m s 2 Speed of light, c 3.00 108 m s 1 0 Magnetic force constant, k 2 2.0 10 7 N A 2 Universal gravitational constant, G 6.67 10 11 N m2 kg 2 Mass of Earth 6.0 1024 kg Planck constant, h 6.626 10 34 J s Rydberg constant, R (hydrogen) 1.097 107 m 1 Atomic mass unit, u 1.661 10 27 kg 931.5 MeV/ c 2 1 eV Density of water, 1.00 103 kg m 3 Specific heat capacity of water 3438 1.602 10 19 J 4.18 103 J kg 1 K 1 39 FORMULAE SHEET v = f I v2 m1 m2 r 1 v1 Ep = G F = mg d 2 s in i sin r = v x 2 = ux 2 v = u + at E= F q R= V I v y 2 = u y 2 + 2a y y x = ux t 1 2 P = VI y = uy t + ay t 2 Energy = VI t r3 T2 vav = aav = GM 4 2 r t F= v v u therefore aav = t t E = mc 2 F = ma a F= = mv r G m1 m2 d2 lv = l0 1 2 tv = W = Fs mv = v2 c2 m0 1 p = mv Impulse = F t 40 c2 t0 1 1 Ek = m v 2 2 v2 v2 c2 FORMULAE SHEET F l I1 I 2 =k 1 p d= d F = BI l s in d M = m 5log 10 = Fd IA IB = nBIA cos Vp Vs = m1 + m2 = np ns 4 2r 3 GT 2 1 1 = R n2 n2 f i 1 F = q sin qvB E= ( mB m A ) = 100 V d = h mv E = hf c = f A0 = Z = v Vout Vin Ir I0 = Z2 Z1 2 Z2 + Z1 2 41 Vout Vin = Rf Ri 5 42 Awaiting copyright PERIODIC TABLE OF THE ELEMENTS

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