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Outlook Physics Trial HSC Exam Paper Two Time Allowed: Three Hours + 5 minutes reading Section I 75 marks Part A – 15 marks Attempt Questions 1 – 15 Allow about 30 minutes for this part -1- 1 2 3 In which of the following situations would you expect the escape velocity to be the smallest? (A) Launching from a 10km high mountain on Earth. (B) Launching from a planet with half the radius of Earth, but with the same mass. (C) Launching from a planet with twice the radius of Earth, but with the same mass. (D) Launching from the bottom of a deep vertical mine shaft. The gravitational force between two objects is F. When the mass of one of the two objects is halved, which of the changes offered below would restore the gravitational force to its original value? (A) the other mass doubles and moves twice as far away. (B) the other mass halves and moves to half the distance away. (C) the other mass increases to four times its original and the distance doubles. (D) the other mass doubles and moves to half the distance away. Which of the following could be considered an inertial frame of reference? (A) A satellite orbiting Earth. (B) An aircraft accelerating in a straight line. (C) A spaceship drifting between stars. (D) A boat bobbing up and down in waves. -2- 4 5 In the diagram of part of a DC motor, the function of the brush is to: (A) ensure the power supply connects to the commutator ring, even when it is turning. (B) reverse the direction of the current through the coil. (C) provide a braking force on the commutator. (D) ensure that the power supply does not get short-circuited. Any type of AC generator does NOT have: (A) an armature. (B) a rotor. (C) slip rings. (D) a split-ring commutator. -3- 6 7 In comparing step-up to step-down transformers, it is true to say that: np (A) the ratio (B) the ratio (C) step-up transformers are more efficient than step-down transformers. (D) step-up transformers are always larger than step-down transformers. ns transformers. np ns transformers. for step down transformers is always less than in step-up for step-up transformers is always less than in step-down A bar magnet placed at one end of a solenoid “X” was spun on an axle drilled through its mid-point, as shown. An identical bar magnet was also moved backwards and forwards close to the end of an identical solenoid, “Y”. The second bar magnet completed one back and forth motion to every one rotation of the other magnet. N S N X S Y When the EMF in the coils of the solenoids was displayed on a CRO, it was found that: (A) the graphs of the EMFs had the same general shapes. (B) the graph of solenoid X had twice the frequency of the graph for solenoid Y. (C) the graph for solenoid X was much smoother than the graph for solenoid Y. (D) the graphs were a sine wave shape for solenoid X and a square wave shape for solenoid Y. -4- 8 Electrical energy is transformed into many different types of useful energy in the home. Of the transformations listed, which would be most unlikely to found in the home? 9 (A) electrical sound (B) electrical chemical (C) electrical electromagnetic (D) electrical nuclear A circular loop of wire is held horizontally. It is then rotated about a north-south oriented horizontal axis. The EMF generated would be greatest in which of the following scenarios: 10 (A) at the equator. (B) at the south pole. (C) at the equator, but with an east-west orientation for the axis. (D) at the equator, but rotated about a vertical axis. One advantage of AC induction motors over other motors such as the universal motor is that AC induction motors: (A) can produce more torque. (B) can be made much smaller. (C) do not have brushes that wear out. (D) can rotate faster. -5- 11 12 13 The results of Thomson’s charge to mass ratio experiments for cathode ray particles showed that they had: (A) very little mass but moved very quickly. (B) a charge of one electron. (C) a small charge to mass ratio. (D) a large charge to mass ratio. The energy E of photons is graphed against their frequency, f. The gradient of the graph produced: (A) gives the mass of the photons. (B) is known as Planck’s constant. (C) varies so cannot be measured. (D) gives the speed of the photons. A material’s electron energy bands are depicted in the following diagram. conduction band valence band The material is most likely to possess the properties of: (A) a conductor. (B) an insulator. (C) a semiconductor. (D) something that cannot be determined from this diagram. -6- 14 Consider the following graph of resistivity versus temperature for a material: resistivity Temperature (K) X At the temperature marked “X” : 15 (A) all lattice vibrations in the material cease. (B) all electron motion in the material ceases. (C) the material stops being a conductor. (D) pairs of electrons travel unimpeded through the material. An experiment was repeated several times in an attempt to measure Earth’s gravitational acceleration. The results are shown in the table below: Trial number 1 2 3 4 5 Result (ms-2) 8.80 8.82 8.79 8.81 8.78 It would be true to say that this experiment was: (A) accurate and reliable. (B) accurate but not reliable. (C) not accurate but reliable. (D) not accurate and not reliable. -7- Part B – 60 marks Attempt Questions 16-30 Allow about 1 hour and 45 minutes for this part. Answer the questions in the spaces provided. Show all relevant working in questions involving calculations. Marks 16 Explain why launch facilities for putting satellites into Earth orbit are usually located close to the equator. 3 ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... 17 A 200kg satellite is orbiting Earth with an altitude of 800km. a. Calculate the gravitational force between the satellite and Earth. 2 ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... b. Find the orbital speed of this satellite. ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... -8- 2 Marks 18 Old standards for length used a metal rod kept safely so that it could be compared. Since 1983, however, the definition of the metre has been: “The metre is the length of the path travelled by light in vacuum during a time interval of 1/299 792 458 of a second.”. With reference to the principle of relativity, discuss the need for this change to the definition of length. ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... -9- 4 Marks 19 The Michelson-Morley experiments failed to prove the existence of the aether, despite many further attempts with modified designs by other scientists. a. Outline the reason why Michelson and Morley believed that if the aether existed, it could be detected using their apparatus. 2 ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... b. Discuss the impact of the results of the Michelson-Morley experiments on the competing theories concerning the existence of the aether. 3 ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... 20 a. Quantitatively compare the mass of an electron at rest with an electron moving with a velocity of 0.98c. 2 ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... b. What significance does this result have for particle accelerators, which can accelerate particles to speeds approaching 0.9999c? ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... - 10 - 2 Marks 21 In an experiment to indirectly measure the current through a conductor, the following apparatus was constructed. long current-carrying wire, 5.0A 1.0cm 0.50m long parallel wire scales The conductors are parallel for 0.500m. They are separated by 1.0cm. A current of 5.0A is flowing through the top conductor. When a current flows through the conductor which is resting on the scales, the scales measurement increases by 3.50 x 10-4N. Calculate the magnitude and direction of the current flowing through the conductor resting on the scales. ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... - 11 - 3 Marks 22 Describe how the motor effect is used in the production of sound in loudspeakers. 3 ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... 23 Eddy currents are used in a number of applications including induction cooktops and electromagnetic braking. With reference to Lenz’s Law, explain how eddy currents produced in a conducting disk can cause a braking effect. ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... - 12 - 3 Marks 24 Westinghouse and Edison competed to supply electricity to the residents of New York in the late 1800s. The system promoted by Westinghouse finally won as it had several advantages over Edison’s system. Describe the advantages of Westinghouse’s system for electricity distribution over Edison’s. 4 ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... 25 An ideal transformer (assume it is 100% efficient), is designed with a primary voltage of 2.0 x 105 V. Its input power is 20.0MW. A diagram of this ideal transformer is shown below. np=800 ns=200 Find the secondary current in this ideal transformer. ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... - 13 - 3 Marks 26 The transformation of electrical energy into other forms of useful energy occurs in homes and in industry. a. Discuss the need for transformers in some domestic electrical appliances which are connected to the mains power supply. 3 ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... b. Identify two specific examples where electricity is converted into some other useful energy form either in homes or in industry. 1 ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... 27 Describe the mechanism by which electric current can flow through a p-type semiconductor. ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... - 14 - 2 Marks 28 Cathode rays are directed into a region containing a uniform electric field, E, as shown below. They are moving with a speed of 6.5 x 102ms-1. + v 2.0cm 200V 6.5 x 102ms-1 - a. Calculate the magnitude of the electric field E between the two charged plates. 1 ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... b. Hence find the magnitude and direction of the magnetic field that must be produced between the two charged plates so that the cathode ray particles will pass through undeflected. ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... - 15 - 3 Marks 29 “All my attempts to adapt the theoretical foundation of physics to this new type of knowledge (Quantum Theory) failed completely.” Albert Einstein, 1949. Einstein’s explanation for the way in which energy is emitted from black bodies did not fit into the thinking of classical physics. Consider the graph of intensity versus frequency of emitted radiation for a black body. intensity predicted graph using classical physics graph of actual observations frequency of emitted radiation 4 Describe how Einstein’s contribution to quantum theory assisted physicists to overcome the shortcomings in the classical theory in relation to the above graph. ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... - 16 - Marks 30 “It was not so very long ago that people thought that semiconductors were part-time orchestra leaders and microchips were very, very small snack foods.” Geraldine Ferraro Assess the impact on our society of the invention of the transistor and their use in microchips and microprocessors. ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... - 17 - 6 Marks 31 Discuss some of the possible future applications of superconductors. 4 ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... ……………………………………………………………………………......... - 18 - Section II 25 marks Attempt ONE question from Questions 32-36 Allow about 45 minutes for this section Answer the question in a writing booklet. Show all relevant working in questions involving calculations. Pages Question 32 Geophysics………………………………… 20-21 Question 33 Medical Physics…………………………… 22-23 Question 34 Astrophysics……………………………….. 24-25 Question 35 From Quanta to Quarks……………………. 26-27 Question 36 The Age of Silicon………………………… 28-29 - 19 - Marks Question 32 Geophysics (a) (i) (ii) (b) (25 marks) The remote sensing of radiation has many benefits to the minerals exploration industry. Identify two ways in which remote sensing of radiation is used in mineral exploration. 2 Identify another field of scientific research which uses the technique of remote sensing. 1 The path of a satellite in orbit around Earth was observed to always deviate slightly downwards as it passed over a particular region of Australia, as shown below. satellite path Earth Describe what information may be provided to scientists studying this satellite’s path. 3 (c) (i) Describe Earth’s present magnetic field. 2 (ii) During the course of your studies, an investigation to demonstrate how the inclination of the Earth’s magnetic field varies with latitude. Describe how this investigation was performed and what conclusions were drawn from it. 4 Question 32 continues on the next page - 20 - Question 32, continued (d) (e) (f) Marks Summarise the geophysical evidence that supports the theory of plate tectonics. 7 Much is known about Earth’s internal structure due to geophysical techniques. Outline the evidence which leads geophysicists to believe that the Earth has a liquid outer core. 2 Several different geophysical methods are utilised to monitor nuclear test ban treaties. Outline these methods to illustrate the role of geophysicists in the monitoring of nuclear test ban treaties. 4 End of Question 32 - 21 - Marks Question 33 Medical Physics (25 marks) (a) (i) The image below is that of a heel bone scan taken using ultrasound. source: www.cnrs.fr (ii) (iii) Describe how this image could be used to determine bone density. 2 What property of bone makes it possible to obtain an ultrasound image while still surrounded by other tissue? 1 Study the diagram showing ultrasound images taken through a human eye. Describe the differences between A scans and B scans and the particular situation that each would be used Question 33 continues on the next page - 22 - 3 Question 33, continued (b) (i) (ii) (c) (d) Marks Explain the role of total internal reflection in the functioning of an endoscope. 2 Endoscopes are used for a number of different purposes. One purpose involves the use of coherent bundles of fibres while another purpose uses incoherent bundles. Discuss the use of these types of bundles of fibres in relation to their particular use in endoscopes. 4 Explain how the magnetic field produced by nuclear particles can be used as a diagnostic tool in medical applications. 7 (i) (ii) Radioactive isotopes are used to obtain scans of organs. Outline the properties of such radioactive isotopes that make them suitable for their intended purpose. 2 Compare images produced by bone scan and by X-ray. 4 End of question 33 - 23 - Marks Question 34 Astrophysics (25 marks) (a) (i) (ii) (b) Compare the sensitivity and the resolution of a telescope having an objective lens with a diameter of 2.0m with an otherwise identical telescope located close by that has an objective lens with a diameter of 1.0m 2 Which factor, resolution or sensitivity, is most improved by placing a telescope in space when compared with a similar ground-based telescope? Give your reasoning. 1 The trigonometric parallax of a star is measured as 0.02 arc seconds. The telescope being used to make this measurement has a resolution of 0.02 arc seconds. Discuss the problem that arises with trigonometric parallax when the observed parallax angle approaches the resolution of the instrument being used. Refer to the above case in your answer. (c) 3 Two stars, called Romeo and Juliet have their intensity/wavelength graphs plotted and the same axes, as shown. intensity Romeo Juliet wavelength Compare the colour and surface temperature of the stars Romeo and Juliet. Question 34 continues on the next page - 24 - 2 Question 34, continued (d) (e) (f) Marks During the course of your studies, an investigation to demonstrate the use of filters in photometric measurements was performed. Outline how this demonstration was performed and relate the investigation to how astronomers obtain the colour index of a star. 4 Explain the importance of the period-luminosity relationship for determining the distance to Cepheid variable stars, and hence assess why such stars are important to astronomers. 7 (i) (ii) Before young stars begin the process of nuclear fusion in their cores, the energy that is produced can still be sufficient to cause the star to emit light. Outline the processes involved that make this possible. 2 Once nuclear fusion commences in the core of a young star, new elements begin to be synthesised. Compare and contrast the synthesis of new elements in the cores of Main-Sequence and post Main-Sequence stars. 4 End of Question 34 - 25 - Marks Question 35 From Quanta to Quarks (25 marks) (a) (b) (c) (d) 1 1 R 2 2 , identify what the terms nf n f ni and ni represent in Bohr’s model of the atom. 2 (ii) Identify one limitation of Bohr’s model of the atom. 1 (iii) Describe the shortcomings in Rutherford’s model of the atom and how observations of the hydrogen spectrum led to the development of Bohr’s atomic model. 3 Using an illustration to support your answer, show how de Broglie’s hypothesis explained the stability of electron orbits in Bohr’s atomic model. 2 On December 2, 1942, Fermi and around forty other scientists observed the world’s first self-sustaining nuclear chain reaction. Describe Fermi’s observations. 4 (i) In the Rydberg equation, 1 The Manhattan Project was shrouded in secrecy throughout World War II, however, it was to lead to the end of the war. After the end of the war, the work carried out by the physicists involved in the project was to have a continuing effect. Assess the significance of the Manhattan Project to society giving particular attention to the post World War II era. Question 35 continues on the next page - 26 - 7 Question 35, continued (e) (i) (ii) Marks “The sum of the masses of the individual particles in an atomic nucleus is greater than the mass of the combined nucleus.” Account for the above statement in terms of mass defect and binding energy. 2 Several forces act within atomic nuclei. It is well known that the vast majority of atomic nuclei are stable, despite the existence of repelling forces trying to force nucleons apart. Name and describe the properties of the force responsible for the fact that the vast majority of nuclei are stable. 4 End of question 35 - 27 - Question 36 The Age of Silicon (25 marks) (a) (i) (ii) (b) (i) (ii) (c) Marks Identify one similarity and one difference between transistors and integrated circuits. 2 How did the first computers differ from modern computers in terms of how they processed data. 1 In relation to their ability to respond to continuous or discrete information, describe the differences between analogue and digital systems. 3 Give an example of one digital and one analogue system, clearly stating why they are considered digital or analogue. 2 The graphs of two thermistors, A and B are shown on the axes below. resistance A B temperature Explain which thermistor would be most suitable for use in a fire alarm circuit, and give an example of an application for the other thermistor. State reasons for your choices. Question 36 continues on the next page - 28 - 4 Question 36, continued (d) Marks Computer power has increased dramatically while computer size has decreased in a similarly dramatic manner over the past several decades. Explain what future barriers may place limitations on the continued decrease in the size of computer circuits, and what possible solutions may be used to overcome these barriers. (e) (i) (ii) Describe how the logic gates AND and OR could be constructed using only switches in a simple circuit. 7 2 Three logic gates were connected using the arrangement shown, where rectangles are used to represent each logic gate. Only gates AND, OR and NOR have been used, once each. 1 2 3 4 inputs and or A B nor C output The truth table for this arrangement is: Input 1 1 1 1 1 1 0 Input 2 1 1 1 0 0 0 Input 3 1 1 1 1 0 0 Input 4 1 0 0 1 1 0 Output 0 0 0 0 0 1 Identify the logic gates labelled A, B and C, giving reasons for your answer. End of Paper - 29 - 4 DATA SHEET Charge on electron, qe -1.602 x 10-19C Mass of electron, me 9.109 x 10-31kg Mass of neutron, mn 1.675 x 10-27kg Mass of proton, mp 1.673 x 10-27kg Speed of sound in air 340ms-1 Earth’s gravitational acceleration, g 9.8ms-2 Speed of light, c 3.00 x 108ms-1 Magnetic force constant, k 0 2 2.0 x 10-7NA-2 Universal gravitational constant, G 6.67 x 10-11Nm2kg-2 Mass of Earth 6.0 x 1024kg Planck constant, h 6.626 x 10-34Js Rydberg constant, R (hydrogen) 1.097 x 107m-1 Atomic mass unit, u 1.661 x 10-27kg 931.5 MeV/c2 1 eV 1.602 x 10-19J Density of water, 1.00 x 103kgm-3 Specific heat capacity of water 4.18 x 103Jkg-1K-1 - 30 - FORMULAE SHEET v = f Ep = - G m1m2 r 1 d2 F = mg v1 sin i v2 sin r vx2 = ux2 I . . . . . . . . . . . . . . . . . . . . . . . v = u + at E= F q vy2 = uy2 + 2ayy R= V I x = uxt y = uyt + ½ ayt2 P = VI Energy = VIt r 3 GM T 2 4 2 . . . . . . . . . . . . . . . . . . . . . . . vav = r vu therefore aav = t t F Gm1m2 d2 F = ma E = mc2 mv 2 F r v2 lv lo 1 2 c Ek = ½ mv2 tv to 1 v2 c2 W = Fs mv p = mv Impulse = Ft - 31 - mo v2 1 2 c FORMULAE SHEET II F k 1 2 l d d F = BIlsin d M m 5log 10 1 p = Fd IA m m 100 B A / 5 IB = nBIAcos m1 m2 Vp 4 2 r 3 GT 2 np Vs ns . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1 R 2 2 n f ni 1 F = qvBsin E V d h mv . . . . . . . . . . . . . . . . . . . . . . . . E = hf c = f Ao Vout Vin . . . . . . . . . . . . . . . . . . . . . . . R Vout f Vin Ri Z = v I r Z 2 Z1 I o Z 2 Z1 2 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . - 32 - Periodic Table of the Elements 1 H 1.008 Element symbol Hydrogen 26 Fe 55.85 Atomic number 2 He 4.003 Atomic weight Iron Element name 3 Li 6.94 4 Be 9.012 Lithium 11 Na 22.99 Sodium Magnesium 19 K 39.10 20 Ca 40.08 21 Sc 44.96 22 Ti 47.87 23 V 50.94 Potassium Calcium Scandium Titanium Vanadium 37 Rb 85.47 38 Sr 87.62 39 Y 88.91 40 Zr 91.22 41 Nb 92.91 Rubidium Strontium Yttrium Zirconium Niobium 55 Cs 132.9 56 Ba 137.3 57-71 72 Hf 178.5 73 Ta 180.9 74 W 183.8 75 Re 186.2 76 Os 190.2 Caesium Barium Lanthanoids Hafnium Tantalum Tungsten Rhenium 87 Fr [223.0] 88 Ra [226.0] 89-103 104 Rf [261.1] 105 Db [262.1] 106 Sg [263.1] 107 Bh [264.1] Francium Radium Actinoids Rutherfordium Dubnium Seaborgium Bohrium Helium 5 B 10.81 6 C 12.01 7 N 14.01 8 O 16.00 9 F 19.00 10 Ne 20.18 Beryllium Boron Carbon Nitrogen Oxygen Fluorine Neon 12 Mg 24.31 13 Al 26.98 14 Si 28.09 15 P 30.97 16 S 32.07 17 Cl 35.45 18 Ar 39.95 Key 24 Cr 52.00 25 Mn 54.94 Aluminium Silicon Phosphorous Sulfur Chlorine Argon 26 Fe 55.85 27 Co 58.93 28 Ni 58.69 29 Cu 63.55 30 Zn 65.39 31 Ga 69.72 32 Ge 72.61 33 As 74.92 34 Se 78.96 35 Br 79.90 36 Kr 83.8 Iron Cobalt Nickel Copper Zinc Gallium Germanium Arsenic Selenium Bromine Krypton 44 Ru 101.1 45 Rh 102.9 46 Pd 106.4 47 Ag 107.9 48 Cd 112.4 49 In 114.8 50 Sn 118.7 51 Sb 121.8 52 Te 127.6 53 I 126.9 54 Xe 131.3 Rhodium Palladium Silver Cadmium Indium Tn Antimony Tellerium Iodine Xenon 77 Ir 192.2 78 Pt 195.1 79 Au 197.0 80 Hg 200.6 81 Tl 204.4 82 Pb 207.2 83 Bi 209.0 84 Po [210.0] 85 At [210.0] 86 Rn [222.0] Osmium Iridium Platinum Gold Mercury Thallium Lead Bismuth Polonium Astatine Radon 108 Hs [265.1] 109 Mt [268] 110 Ds 111 Rg 112 Uub 113 Uut 114 Uuq 115 Uup 116 Uuh 117 Uus 118 Uuo Hassium Meitnerium Chromium Manganese 42 Mo 95.94 43 Te 98.91 Molybdenum Technetium Ruthenium Darmstadtium Roentgenium Ununbium Ununtrium Ununquadium Ununpentium Ununhexium Ununseptium Ununoctium Lanthanoids 57 La 138.9 58 Ce 140.1 Lanthanam Cerium 59 Pr 140.9 60 Nd 144.2 61 Pm [146.9] Praseodymium Neodymium Promethium 62 Sm 150.4 Samarium 63 Eu 152.0 64 Gd 157.3 65 Tb 158.9 66 Dy 162.5 67 Ho 164.9 68 Er 167.3 69 Tm 168.9 70 Yb 173.0 71 Lu 175.0 Europium Gadolinium Terbium Dysprosium Holmium Erbium Thulium Ytterbium Lutetium 95 Am [241.1] 96 Cm [244.1] 97 Bk [249.1] 98 Cf [252.1] 99 Es [252.1] 100 Fm [257.1] 101 Md [258.1] 102 No [259.1] 103 Lr [262.1] Americium Curium Fermium Mendelevium Nobelium Lawrencium Actinoids 89 Ac [227.0] 90 Th 232.0 91 Pa 231.0 92 U 238.0 Actinium Thorium Protactinium Uranium 93 Np [237.0] 94 Pu [239.1] Neptunium Plutonium Bracketed atomic weights are those of the most common radioactive isotope. - 33 - Berkelium Californium Einsteinium