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    2001H I G H E R S C H O O L C E R T I F I C A T E

    E X A M I N A T I O N

    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 and 21

    Total marks 100

    Pages 223

    75 marks

    This section has two parts, Part A and Part B

    Part A 15 marks Attempt Questions 115

    Allow about 30 minutes for this part

    Part B 60 marks

    Attempt Questions 1626

    Allow about 1 hour and 45 minutes for this part

    Pages 2531

    25 marks Attempt ONE question from Questions 2731

    Allow about 45 minutes for this section

    Section II

    Section I

    Physics

    433

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    2

    Section I75 marks

    Part A 15 marks

    Attempt Questions 115

    Allow about 30 minutes for this part

    Use the multiple-choice answer sheet.

    Select the alternative A, B, C or D that best answers the question. Fill in the response oval

    completely.

    Sample: 2 + 4 = (A) 2 (B) 6 (C) 8 (D) 9

    A B C D

    If you think you have made a mistake, put a cross through the incorrect answer and fill in the

    new answer.

    A B C D

    If you change your mind and have crossed out what you consider to be the correct answer, then

    indicate the correct answer by writing the word correctand drawing an arrow as follows.

    correct

    A B C D

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    1 A person has a mass of 70.0 kg. What is the weight of the person at the Earths surface?

    (A) 70.0 kg

    (B) 70.0 N

    (C) 686 kg

    (D) 686 N

    2 At a particular moment, a positively charged particle is moving with velocity v in a

    magnetic field as shown.

    At this moment, what is the direction of the force on the positively charged particle?

    (A) To the right

    (B) To the left

    (C) Into the page

    (D) Out of the page

    Magnetic field

    out of page

    v

    3

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    3 The resistance of mercury at various temperatures is shown in the graph.

    Between which two temperatures does mercury always act as a superconductor?

    (A) 0 K and 4.2 K

    (B) 4.2 K and 4.5 K

    (C) 4.5 K and 8.0 K

    (D) 0 K and 8.0 K

    4 Two types of generator are shown.

    What type of current is produced by each generator when connected to an external

    resistance?

    (A) Both produce d.c.

    (B) Both produce a.c.

    (C) Generator 1 produces d.c. and Generator 2 produces a.c.

    (D) Generator 1 produces a.c. and Generator 2 produces d.c.

    Generator 1 Generator 2

    N N

    S S

    Resistance

    Resistance

    Temperature (K)

    2

    0.08

    0.00

    0.16

    4 6 80

    Resistance()

    4

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    5 The graph shows the forces experienced by an astronaut during a rocket launch into a

    stable orbit.

    In which time interval was the acceleration of the rocket the greatest?

    (A) ST

    (B) TU

    (C) U V

    (D) VW

    6 The signal from a microwave transmitter can be thought of as a beam of photons.

    The photons from a particular transmitter have a wavelength of 3.5 102 m.

    What is the approximate energy of each photon?

    (A) 7.73 1044 J

    (B) 5.68 1024 J

    (C) 2.32 1035 J

    (D) 1.89 1032 J

    S T U V W

    Forcesonastronaut

    Time

    5

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    7 An astronaut is standing on Mars. The astronaut throws an object of mass 0.30 kg

    vertically upward at an initial speed of 9.0 m s1. It reaches a maximum height of

    11 metres.

    What is the magnitude of the acceleration of the object?

    (A) 1.4 m s2

    (B) 3.7 m s2

    (C) 9.0 m s2

    (D) 9.8 m s2

    8 A light rod has a coil of insulated copper wire fixed at one end and is pivoted at the other

    end. The result is a pendulum which is free to swing back and forth. A magnet is placed

    underneath this pendulum. The arrangement is shown in the diagram.

    The pendulum is pulled back and then allowed to swing. Which of the following would

    cause the pendulum to come to rest most quickly?

    (A) Replacing the magnet with a stronger one

    (B) Shortening the pendulum

    (C) Replacing the rod with a heavier one

    (D) Connecting the ends of the coil by a piece of copper wire

    Coil

    Pivot

    Magnet

    Rod

    6

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    9 Which is the most suitable means of reliable and continuous communication between an

    orbiting satellite and Earth?

    (A) Light from a green laser

    (B) Microwaves

    (C) Radio waves

    (D) Sound waves

    10 An electric motor is connected to a power supply of constant voltage. The motor is

    allowed to run at different speeds by adjusting a brake.

    Which graph best shows how the current through the motor varies with speed?

    11 A transformer has a primary coil with 60 turns and a secondary coil with 2300 turns.

    If the primary voltage to the transformer is 110 V, what is the secondary voltage?

    (A) 2.4 104 V

    (B) 2.4 102 V

    (C) 1.3 103 V

    (D) 4.2 103 V

    Speed0

    Current

    (B)

    Current

    Speed0

    (A)

    Current

    Speed0

    (C)

    Current

    Speed0

    (D)

    7

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    12 Which of the following statements best describes the reason why some materials become

    superconducting at very low temperatures?

    (A) The ions in the superconductor form a regular crystal lattice. There are long

    channels through the lattice along which the electrons can pass without colliding

    with the lattice.

    (B) Vibrations of the crystal lattice are so small that they do not interfere with the

    motion of the electrons.

    (C) Electrons in a superconductor have very low energy. Their energy is so low that

    they cannot transfer energy to the crystal lattice in a collision.

    (D) Electrons pair up. These electron pairs pass through the crystal lattice of the

    superconductor without losing energy in collisions with the lattice.

    13 A rocket car moves on a straight horizontal track. Half of the initial mass of the rocketcar is propellant. During the run, propellant is consumed at a constant rate and ejected at

    a constant nozzle velocity.

    Which of the following best describes the force propelling the rocket car, and the

    magnitude of the acceleration of the rocket car while the propellant is being ejected?

    Acceleration

    constant

    constant

    increasing

    increasing

    Force

    constant

    increasing

    constant

    increasing

    (A)

    (B)

    (C)

    (D)

    8

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    14 Two straight metal rods, P and Q, have the same length. They are each pivoted at one end

    and rotated with the same angular velocity so that they sweep out horizontal circular

    paths as shown in diagramsXand Y. A constant currentI is flowing along each rod, as

    shown.

    In diagram X, a constant magnetic field is applied at right angles to the plane of thecircular path. In diagram Y, a uniform magnetic field of the same magnitude is applied

    in the plane of the circular path.

    Which of the following statements about the forces acting on rod P and rod Q is correct?

    (A) The magnitude of the force on P is exactly the same as the magnitude of the force

    on Q at all times.

    (B) The magnitude of the force on P is constant and the magnitude of the force

    on Q is zero.

    (C) The magnitude of the force on P is constant and the magnitude of the force

    on Q varies with time.

    (D) The magnitude of the force on P varies with time and the magnitude of the force

    on Q is constant.

    I

    P

    IQ

    DiagramX Diagram Y

    9

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    15 A student releases a ball from eye level. The ball bounces several times.

    Which velocity vs time graph best represents the balls motion?

    Velocity

    Time

    Velocit

    yTime

    Velocity

    Time

    Velocity

    Time

    (B)

    (C)

    (D)

    (A)

    10

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    Section I (continued)

    Part B 60 marksAttempt Questions 1626

    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

    Question 16 (4 marks)

    Muons are very short-lived particles that are created when energetic protons collide

    with each other. A beam of muons can be produced by very-high-energy particle

    accelerators.

    The high-speed muons produced for an experiment by the Fermilab accelerator are

    measured to have a lifetime of 5.0 microseconds. When these muons are brought to

    rest, their lifetime is measured to be 2.2 microseconds.

    (a) Name the effect demonstrated by these observations of the lifetimes of the

    muons.

    ...............................................................................................................................

    (b) Calculate the velocity of the muons as they leave the accelerator.

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    1

    2001 HIGHER SCHOOL CERTIFICATE EXAMINATION

    Physics

    13 434

    Centre Number

    Student Number

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    Question 17 (6 marks)

    A rocket was launched vertically to probe the upper atmosphere. The vertical velocity

    of the rocket as a function of time is shown in the graph.

    (a) Using either words or calculations, compare the acceleration of the rocket at

    t = 20 s with its acceleration at t = 100 s.

    ...............................................................................................................................

    ...............................................................................................................................

    ...............................................................................................................................

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    (b) Account for the shape of the graph over the range of time shown.

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    4

    2

    Velocity(kms

    1)

    Time after lift-off (s)

    0 40 80 120 160 200 240

    5.0

    4.0

    3.0

    2.0

    1.0

    0

    14

    Marks

    Board of Studies NSW 2001

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    Section I Part B (continued)

    Marks

    Question 18 (6 marks)

    A 30 kg object,A, was fired from a cannon in projectile motion. When the projectile

    was at its maximum height of 25 m, its speed was 20 m s1.

    An identical object, B, was attached to a mechanical arm and moved at a constant

    speed of 20 m s1 in a vertical half-circle. The length of the arm was 25 m.

    Ignore air resistance.

    (a) Calculate the force acting on objectA at its maximum height.

    ...............................................................................................................................

    ...............................................................................................................................

    ...............................................................................................................................

    (b) Calculate the time it would take objectA to reach the ground from its position

    of maximum height.

    ...............................................................................................................................

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    (c) Describe and compare the vertical forces acting on objects A and B at their

    maximum heights.

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    3

    2

    1

    25 m

    20 m s1

    25 m

    20 m s1

    PivotGround Ground

    A B

    2001 HIGHER SCHOOL CERTIFICATE EXAMINATION

    Physics

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    Question 19 (4 marks)

    How does Einsteins Theory of Special Relativity explain the result of the

    MichelsonMorley experiment?

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    Question 20 (4 marks)

    The electrical supply network uses a.c. and a variety of transformers between the

    generating stations and the final consumer.

    Explain why transformers are used at various points in the network.

    .........................................................................................................................................

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    4

    4

    16

    Marks

    Board of Studies NSW 2001

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    Section I Part B (continued)

    Marks

    Question 21 (3 marks)

    A fan that ventilates an underground mine is run by a very large d.c. electric motor.

    This motor is connected in series with a variable resistor to protect the windings in the

    coil.

    When the motor is starting up, the variable resistor is adjusted to have a largeresistance. The resistance is then lowered slowly as the motor increases to its

    operating speed.

    Explain why no resistance is required when the motor is running at high speed, but a

    substantial resistance is needed when the motor is starting up.

    .........................................................................................................................................

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    2001 HIGHER SCHOOL CERTIFICATE EXAMINATION

    Physics

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    Student Number

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    Question 22 (7 marks)

    Two parallel wires are separated by a distance of 0.75 m. WireX is 3.0 m long and

    carries a current of 2.0 A. Wire Ycan be considered to be infinitely long and carries a

    current of 5.0 A. Both currents flow in the same direction along the wires.

    (a) What is the direction of the force that exists between the two wires?

    ...............................................................................................................................

    (b) On the axes, sketch a graph that shows how the force between the two wires

    would vary if the length of WireXwas increased.

    (c) In your Physics course you have performed a first-hand investigation to

    demonstrate the motor effect. Explain how your results demonstrated that effect.

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    4

    Length of WireX

    Force

    2

    1

    WireX

    Wire Y

    2.0 A

    5.0 A

    0.75 m

    3.0 m

    18

    Marks

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    Question 23 (6 marks)

    Discuss the effects of the development of electrical generators on society and the

    environment.

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    19

    Marks

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    Section I Part B (continued)

    Marks

    Question 24 (6 marks)

    Sir William Bragg and his son Sir Lawrence Bragg shared the Nobel prize for physics

    in 1915 for their work on X-ray diffraction and crystal structure analysis.

    (a) Describe ONE way in which an understanding of crystal structure has impacted

    on science.

    ...............................................................................................................................

    ...............................................................................................................................

    ...............................................................................................................................

    (b) Outline the methods of X-ray diffraction used by the Braggs to determine the

    structure of crystals.

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    2

    2001 HIGHER SCHOOL CERTIFICATE EXAMINATION

    Physics

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    Student Number

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    Question 25 (6 marks)

    A student carried out an experiment on the photoelectric effect. The frequency of the

    incident radiation and the energy of the photoelectrons were both determined from

    measurements taken during the experiment.

    The results obtained are shown in the table:

    (a) Graph these results on the grid, including the line of best fit.

    Question 25 continues on page 23

    4

    Energy of photoelectrons

    ( 1019 J)

    1.22

    1.70

    3.70

    3.053.38

    3.91

    Frequency of incident radiation

    ( 1014 Hz)

    6.9

    8.2

    9.1

    9.910.6

    11.8

    22

    Marks

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    Question 25 (continued)

    (b) How could the reliability of the experiment be improved?

    ...............................................................................................................................

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    Question 26 (8 marks)

    In the context of semiconductors, explain the concept of electrons and holes.

    .........................................................................................................................................

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    8

    2

    23

    Marks

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    Section II

    25 marksAttempt ONE question from Questions 2731

    Allow about 45 minutes for this section

    Answer the question in a writing booklet. Extra writing booklets are available.

    Show all relevant working in questions involving calculations.

    Pages

    Question 27 Geophysics ..................................................................... 26

    Question 28 Medical Physics ............................................................. 27

    Question 29 Astrophysics ............................................................. 2829

    Question 30 From Quanta to Quarks .................................................. 30

    Question 31 The Age of Silicon ......................................................... 31

    2001 HIGHER SCHOOL CERTIFICATE EXAMINATION

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    Question 27 Geophysics (25 marks)

    (a) (i) Name the instrument used in local gravity surveys.

    (ii) Describe how that instrument is used in resource exploration.

    (b) The diagram shows a map of the part of an ocean that includes two chains of

    features, a chain of islands and a chain of seamounts.

    (i) Name the geophysical phenomenon that accounts for the shape of the

    chain of islands.

    (ii) Account for the formation and alignment of the chain of islands and the

    chain of seamounts.

    (c) Describe how you carried out a first-hand investigation to determine the

    relationship between the nature of a surface and the radiation reflected from it.

    (d) When the theory of plate tectonics was first proposed, some parts of the

    scientific community were reluctant to accept it.

    Discuss the theory of plate tectonics and the evidence leading to its acceptance.

    (e) Discuss how information gathered from seismic observations has led to greater

    understanding of the structure of the Earth.

    8

    6

    4

    3

    1

    Ocean

    Chainofislands

    Age

    (Ma)

    Chain

    ofse

    amounts

    Continent

    5447

    4328

    2212

    7 5 4 20

    56

    63

    N

    2

    1

    26

    Marks

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    Question 28 Medical Physics (25 marks)

    (a) (i) Identify the purpose of a coherent bundle of optical fibres in an

    endoscope.

    (ii) An optical fibre consists of a central core surrounded by cladding.

    Describe the role of the core and cladding.

    (b) The table shows information relating to the transmission of sound through some

    types of body tissue.

    (i) Identify ONE property of ultrasound.

    (ii) Justify why, in an ultrasound scan, a boundary between muscle and bone

    would show up more clearly than would a boundary between muscle

    and fat.

    (c) You have conducted a first-hand investigation to demonstrate the Doppler effect.

    Describe your investigation and conclusions.

    (d) CAT scans provide more information than X-rays, so they should be used

    whenever possible. Discuss this statement.

    (e) Explain why MRI can be used to detect cancerous tissues. 8

    6

    4

    3

    1

    Velocity of sound

    (m s1)

    1630

    1460

    3050

    Density

    (kg m3)

    1040

    945

    2560

    Acoustic impedance

    ( 106 kg m2 s1)

    1.70

    1.38

    7.80

    Tissue

    Muscle

    Fat

    Bone

    2

    1

    27

    Marks

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    Question 29 Astrophysics (25 marks)

    (a) (i) Define the term binary stars.

    (ii) Describe the characteristics of its spectrum that identify a spectroscopicbinary.

    (b) The table shows information about three stars in the Milky Way galaxy.

    (i) Identify which of the stars has the greatest surface temperature.

    (ii) If Deneb and Betelgeuse were viewed from the same distance, which

    would appear brighter? Justify your answer.

    Question 29 continues on page 29

    3

    1

    Apparent

    magnitude

    +0.41

    +0.47

    +1.24

    Distance from

    Sun (parsecs)

    184

    20

    429

    Spectral

    class

    M2

    B5

    A2

    Name

    Betelgeuse

    Achernar

    Deneb

    2

    1

    28

    Marks

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    Question 29 (continued)

    (c) A student carried out an experiment to examine the spectra of various light

    sources through spectroscopes as shown in the diagram. The student observed

    three different spectra.

    Account for the differences in the three observed spectra.

    (d) A new generation of Earth-based optical telescopes is advancing optical

    astronomy. Describe the advances in design that have been incorporated in large

    telescopes over recent years.

    (e) Explain how the data presented in HertzsprungRussell diagrams may be used

    to understand the evolution of stars.

    End of Question 29

    8

    6

    Incandescentlamp

    Spectroscope

    X

    Full rangeof colours

    Sodium vapourlamp

    Spectroscope

    Y

    Two yellow lines on a dark

    background

    Incandescent

    lamp

    Spectroscope

    Z

    Sodium

    vapour

    Range of colours with two

    black lines

    4

    29

    Marks

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    Question 30 From Quanta to Quarks (25 marks)

    (a) (i) Define nucleon.

    (ii) Contrast ONE property of nucleons.

    (b) The table shows the quantum numbers of the four lowest states of the hydrogen

    atom, together with the energies of those states.

    (i) What is the energy of the photon emitted when an electron in the n = 4

    level makes a transition to the n = 3 level?

    (ii) Use the data to draw the energy level diagram for hydrogen, and indicate

    on this diagram where the energy levels lie for quantum numbers greater

    than 4.

    (c) Describe how you carried out a first-hand investigation to determine the

    penetrating power of alpha, beta and gamma radiation on a range of materials.

    (d) The Manhattan Project is the codename given to the development of atomic

    (nuclear fission) bombs during World War II.

    Discuss the significance of this project for society.

    (e) Analyse how Chadwicks and Fermis work resulted in a greater understanding

    of the atom.

    8

    6

    4

    3

    1

    Energy (joule)

    0

    1.63 1018

    1.94 1018

    2.04 1018

    Quantum number, n

    1 (Ground state)

    2

    3

    4

    2

    1

    30

    Marks

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    Question 31 The Age of Silicon (25 marks)

    (a) (i) State the name of the transducer that is commonly used in a light meter

    of a camera.

    (ii) Describe the relationship between the amount of light incident on the

    transducer referred to in part (i), and its resistance.

    (b) An ideal differential-input operational amplifier is connected into the following

    circuit.

    (i) Explain the function of the 500 k resistor in this circuit.

    (ii) Determine the output voltage, Vout.

    (c) A student constructed the following circuit in which four different logic gates

    were used. The circuit had two inputs,A andB, and one output, S.

    For each of the possible input states ofA andB, construct a truth table showing

    the output of Gate 1 at P, Gate 2 at Q, Gate 3 atR and Gate 4 at S.

    (d) Discuss the possibility that there may be a limit on the growth of computer

    power.

    (e) Discuss the impact that developments in electronics have had on society.

    End of paper

    8

    6

    A

    B

    PGate 1

    Gate 3

    Gate 2 Gate 4Q

    R S

    Key

    Gate

    1

    2

    3

    4

    Function

    NAND

    NOT

    NOR

    OR

    4

    3

    1

    500 k

    25 k

    +

    Vout

    Vin=+0.4 V Op. amp.

    2

    1

    31

    Marks

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    33

    DATA SHEET

    Charge on the electron, qe 1.602 1019 C

    Mass of electron,me 9.109 1031 kg

    Mass of neutron,mn 1.675 1027 kg

    Mass of proton,mp 1.673 1027 kg

    Speed of sound in air 340 m s1

    Earths gravitational acceleration,g 9.8 m s2

    Speed of light, c 3.00 108 m s1

    Magnetic force constant, 2.0 107 N A2

    Universal gravitational constant,G 6.67 1011 N m2 kg2

    Mass of Earth 6.0 1024 kg

    Plancks constant, h 6.626 1034 J s

    Rydbergs constant, RH 1.097 107 m1

    Atomic mass unit,u 1.661 1027 kg

    931.5 MeV/c2

    1 eV 1.602 1019 J

    Density of water, 1.00 103 kg m3

    Specific heat capacity of water 4.18 103 J kg1 K1

    k

    0

    2

    2001 HIGHER SCHOOL CERTIFICATE EXAMINATION

    Physics

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    35

    FORMULAE SHEET

    F qvB

    E V

    d

    E h f

    Z v

    I

    I

    Z Z

    Z Z

    Rn n

    h

    mv

    V

    V

    AV

    V V

    r

    H

    f i

    =

    =

    =

    =

    =

    [ ]

    +[ ]

    =

    =

    =

    =+

    sin

    o

    out

    in

    o

    o

    Amplifier gain

    2 1

    2

    2 1

    2

    2 2

    1 1 1

    EGm m

    r

    v u at

    v u

    v u a y

    x u t

    y u t a t

    s

    t

    u v

    l l v

    c

    tt

    v

    c

    p

    x x

    y y y

    x

    y y

    v

    v

    =

    = +

    =

    = +

    =

    = +

    = +

    =

    =

    1 2

    2 2

    2 2

    1

    2

    2

    2

    2

    2

    2

    2

    2

    1

    1

    o

    o

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    1179F

    19.00

    Fluorine

    17Cl

    35.45

    Chlorine

    35Br

    79.90

    Bromine

    53I126.9

    Iodine

    85At

    [210.0]

    Astatine

    1157N

    14.01

    Nitrogen

    15P30.97

    Phosphorus

    33As

    74.92

    Arsenic

    51Sb121.8

    Antimony

    83Bi

    209.0

    Bismuth

    113

    5B10.81

    Boron

    13Al

    26.98

    Aluminium

    31Ga69.72

    Gallium

    49In114.8

    Indium

    81Tl

    204.4

    Thallium

    107Bh

    [264.1]

    Bohrium

    108Hs

    [265.1]

    Hassium

    1

    09Mt

    [2

    68]

    Meitnerium

    110Uun

    Ununnilium

    111Uuu

    Unununium

    112UubUnunbium

    114Uuq

    Ununquadium

    1

    16

    U

    uhUnunhexium

    118Uuo

    Ununoctium

    87Fr

    [223.0]

    Francium

    88Ra

    [22

    6.0]

    Radium

    89103

    Actinides

    104Rf

    [261.1]

    Rutherfordium

    105Db

    [262.1]

    Dubnium

    106Sg

    [263.1]

    Seaborgium

    57La138.9

    Lanthanum

    89Ac

    [227.0]

    Actinium

    1H1.008

    Hydrogen

    Symbolofelement

    Nameofelement

    PERIODIC

    TABL

    E

    OFTHE

    ELEMENTS

    K

    EY

    2He

    4.003

    Helium

    3Li

    6.941

    Lithium

    4Be

    9.012

    Beryllium

    AtomicNumber

    AtomicWeight

    79Au

    197.0

    Gold

    6C12.01

    Carbon

    8O

    16.00

    Oxygen

    10Ne

    20.18

    Neon

    11Na

    22.99

    Sodium

    12

    M

    g

    24

    .31

    Mag

    nesium

    14Si

    28.09

    Silicon

    16S

    32.07

    S

    ulfur

    18Ar

    39.95

    Argon

    19K39.10

    Potassium

    20Ca

    40

    .08

    Ca

    lcium

    21Sc44.96

    Scandium

    22Ti

    47.87

    Titanium

    23V50.94

    Vanadium

    24Cr

    52.00

    Chromium

    25Mn

    54.94

    Manganese

    26Fe55.85

    Iron

    27Co

    58.93

    C

    obalt

    28Ni

    58.69

    Nickel

    29Cu63.55

    Copper

    30Zn65.39

    Zinc

    32Ge

    72.61

    Germanium

    34Se

    78.96

    Selenium

    36Kr

    83.80

    Krypton

    37Rb85.47

    Rubidium

    38Sr

    87

    .62

    Strontium

    39Y88.91

    Yttrium

    40Zr

    91.22

    Zirconium

    41Nb92.91

    Niobium

    42Mo

    95.94

    Molybdenum

    43Tc

    [98.91]

    Technetium

    44Ru101.1

    Ruthenium

    45Rh

    102.9

    Rh

    odium

    46Pd106.4

    Palladium

    47Ag107.9

    Silver

    48Cd112.4

    Cadmium

    50Sn118.7

    Tin

    52Te

    127.6

    Tellurium

    54Xe

    131.3

    Xenon

    55Cs

    132.9

    Caesium

    56Ba

    13

    7.3

    Barium

    5771

    Lanthanides

    72Hf

    178.5

    Hafnium

    73Ta180.9

    Tantalum

    74W183.8

    Tungsten

    75Re186.2

    Rhenium

    76Os

    190.2

    Osmium

    77Ir

    192.2

    Iridium

    78Pt

    195.1

    Platinum

    79Au197.0

    Gold

    80Hg200.6

    Mercury

    82Pb207.2

    Lead

    84Po

    [210.0]

    Polonium

    86Rn

    [222.0]

    Radon

    58Ce140.1

    Cerium

    59Pr140.9

    Praseodymium

    60Nd144.2

    Neodymium

    61Pm

    [146.9]

    Promethium

    62Sm150.4

    Samarium

    63Eu

    152.0

    Europium

    64Gd157.3

    Gadolinium

    65Tb158.9

    Terbium

    66Dy162.5

    Dysprosium

    67Ho164.9

    Holmium

    68Er167.3

    Erbium

    69Tm168.9

    Thulium

    70Yb

    173.0

    Ytterbium

    71Lu175.0

    Lutetium

    90Th232.0

    Thorium

    91Pa231.0

    Protactinium

    92U238.0

    Uranium

    93Np

    [237.0]

    Neptunium

    94Pu

    [239.1]

    Plutonium

    95

    A

    m

    [241.1]

    Americium

    96Cm

    [244.1]

    Curium

    97Bk

    [249.1]

    Berkelium

    98Cf

    [252.1]

    Californium

    99Es

    [252.1]

    Einsteinium

    100Fm

    [257.1]

    Fermium

    101Md

    [258.1]

    Mendelevium

    102No

    [259.1]

    No

    belium

    103Lr

    [262.1]

    Lawrencium

    Actinides

    Lanthanides

    Wheretheatom

    icweightisnotknown,therelativeatomicmassofthemostcommonradioactiveisotopeisshowninbrackets.

    TheatomicweightsofNpandTcaregivenfortheisotopes237Npand99Tc.

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    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, 17, 21 and 23

    Total marks 100

    Pages 225

    75 marks

    This section has two parts, Part A and Part B

    Part A 15 marks Attempt Questions 115

    Allow about 30 minutes for this part

    Part B 60 marks

    Attempt Questions 1627

    Allow about 1 hour and 45 minutes for this part

    Pages 2737

    25 marks Attempt ONE question from Questions 2832

    Allow about 45 minutes for this section

    Section II

    Section I

    Physics

    433

    2002H I G H E R S C H O O L C E R T I F I C A T E

    E X A M I N A T I O N

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    2

    Section I75 marks

    Part A 15 marks

    Attempt Questions 115

    Allow about 30 minutes for this part

    Use the multiple-choice answer sheet.

    Select the alternative A, B, C or D that best answers the question. Fill in the response oval

    completely.

    Sample: 2 + 4 = (A) 2 (B) 6 (C) 8 (D) 9

    A B C D

    If you think you have made a mistake, put a cross through the incorrect answer and fill in the

    new answer.

    A B C D

    If you change your mind and have crossed out what you consider to be the correct answer, then

    indicate the correct answer by writing the word correctand drawing an arrow as follows.

    correct

    A B C D

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    1 The diagram shows the trajectory of a golf ball.

    Which set of arrows shows the direction of the acceleration of the ball at points P and Q

    respectively?

    2 A spaceship is travelling at a very high speed. What effects would be noted by a

    stationary observer?

    (A) Time runs slower on the spaceship and it contracts in length.

    (B) Time runs faster on the spaceship and it contracts in length.

    (C) Time runs slower on the spaceship and it increases in length.

    (D) Time runs faster on the spaceship and it increases in length.

    3 The table shows the value of the acceleration due to gravity on the surface of Earth and

    on the surface of Mercury.

    A person has a weight of 550 N on the surface of Earth.

    What would be the persons weight on the surface of Mercury?

    (A) 56.1 N

    (B) 213 N

    (C) 550 N

    (D) 1420 N

    Acceleration due to gravity(ms2)

    Earth

    Mercury

    9.8

    3.8

    (A)

    (B)

    (C)

    (D)

    At P At Q

    P Q

    3

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    6 What is the role of a transformer at an electrical power station?

    (A) To reduce heating in the transmission lines by stepping up the voltage

    (B) To reduce heating in the transmission lines by stepping up the current

    (C) To increase heating in the transmission lines by stepping up the voltage

    (D) To increase heating in the transmission lines by stepping up the current

    7 A student performed an experiment to measure the force on a long current-carrying

    conductor placed perpendicular to an external magnetic field.

    The graph shows how the force on a 1.0 m length of the conductor varied as the current

    through the conductor was changed.

    What was the magnitude of the external magnetic field in this experiment?

    (A) 0.23 T

    (B) 1.1 T

    (C) 2.1 T

    (D) 4.3 T

    Current (A)3.0

    0.7

    Force (N)

    5

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    8 A single-turn coil of wire is placed in a uniform magnetic fieldB, so that the plane of the

    coil is parallel to the field, as shown in the diagrams. The coil can move freely.

    An electric currentIflows around the coil in the direction shown.

    In which direction does the coil begin to move as a consequence of the interactionbetween the external magnetic field and the current?

    IB B

    BB

    (A)

    I

    (B)

    I

    (C)

    I

    (D)

    6

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    9 In a student experiment, a bar magnet is dropped through a long plastic tube of length l

    and diameter d. The time taken for it to hit the floor is recorded.

    The experiment is repeated using a copper tube of the same length and diameter.

    Which of the following statements is correct?

    (A) The magnet will take the same time to hit the floor in both cases.

    (B) The magnet will come to rest in the middle of the copper tube.

    (C) The magnet will take longer to fall through the copper tube.

    (D) The magnet will take longer to fall through the plastic tube.

    Plastic Copper

    d dl

    N

    S

    N

    S

    7

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    10 The coil of an AC generator rotates at a constant rate in a magnetic field as shown.

    Which of the following diagrams represents the curve of induced emf against position?

    PositionInduced

    emf

    (A)

    P

    R T

    Q

    S

    PositionInduced

    emf

    (B)

    P

    R

    T

    Q S

    PositionInduced

    emf

    (C)

    P R

    TQ S

    PositionInduced

    emf

    (D)

    P R T

    Q S

    P

    B B B B B

    Q R S T

    8

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    11 Which of the following describes an n-type semiconductor?

    (A) A semiconductor doped to produce extra free electrons

    (B) A semiconductor doped to remove free electrons

    (C) A semiconductor doped to produce extra holes

    (D) An undoped semiconductor

    12 Which of the following graphs shows the behaviour of a superconducting material?

    Resistance

    ()

    (A)

    Temperature (K)

    Resistance

    ()

    (B)

    Temperature (K)

    Resistance()

    (C)

    Temperature (K)

    Resistance()

    (D)

    Temperature (K)

    0

    0

    0

    0

    9

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    13 The diagram shows the side view of a simple cathode ray tube.

    What is the function of the components labelledR?

    (A) To produce cathode rays

    (B) To stop cathode rays striking the screen

    (C) To deflect the cathode rays vertically

    (D) To deflect the cathode rays horizontally

    14 During the early 1950s most transistors were manufactured using germanium.

    Why was germanium used instead of silicon?

    (A) Silicon is more brittle than germanium.(B) Germanium could be more easily produced in a purified form.

    (C) Germanium is a more abundant raw material.

    (D) Silicon does not retain its semiconductor properties at high temperatures.

    + R

    R

    Fluorescent

    screen

    10

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    15 A student carried out an experiment during which light of different frequencies was

    shone onto a metal surface to produce photoelectrons.

    The student measured the maximum kinetic energy of the emitted photoelectrons as the

    frequency of light was altered.

    The relationship between the maximum kinetic energy of the photoelectrons and the

    frequency of the light incident on the metal surface is given by:

    Ek(max) = hf

    where

    Ek(max) = maximum kinetic energy of the photoelectrons

    f = frequency of light used

    h = Plancks constant

    = a constant dependent on the metal used.

    How could the student best analyse the data to determine a value for Plancks constant?

    (A) Plot Ek(max) againstfand find the gradient of the line of best fit.

    (B) Plot Ek(max) against and find the gradient of the line of best fit.

    (C) Plot Ek(max) againstfand find the intercept of the line of best fit.

    (D) Plot Ek(max) against and find the intercept of the line of best fit.

    11

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    BLANK PAGE

    Board of Studies NSW 2002

    12

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    Section I (continued)

    Part B 60 marksAttempt Questions 1627

    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.

    Question 16 (8 marks)

    Please turn over

    2002 HIGHER SCHOOL CERTIFICATE EXAMINATION

    Physics

    13 434

    Centre Number

    Student Number

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    Question 16 (continued)

    (a) Outline TWO changes that could be made to the experimental procedure that

    would improve its accuracy.

    ...............................................................................................................................

    ...............................................................................................................................

    ...............................................................................................................................

    ...............................................................................................................................

    (b) Compare Kims and Alis methods of calculating g and identify the better

    approach.

    ...............................................................................................................................

    ...............................................................................................................................

    ...............................................................................................................................

    ...............................................................................................................................

    ...............................................................................................................................

    ...............................................................................................................................

    (c) Calculate the value of g from the line of best fit on Alis graph.

    ...............................................................................................................................

    ...............................................................................................................................

    ...............................................................................................................................

    ...............................................................................................................................

    ...............................................................................................................................

    ...............................................................................................................................

    End of Question 16

    3

    3

    2

    15

    Marks

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    Question 17 (4 marks)

    Describe TWO difficulties associated with effective or reliable communications

    between satellites and Earth.

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    4

    16

    Marks

    Board of Studies NSW 2002

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    Section I Part B (continued)

    Marks

    Question 18 (3 marks)

    The graph shows the percentage transmission of electromagnetic radiation of various

    wavelengths through the Earths atmosphere.

    The Voyager II spacecraft transmits electromagnetic radiation to Earth at a frequency

    of 2295 MHz.

    Use the graph to justify the use of this transmission frequency.

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    100

    80

    60

    40

    20

    01010 109 108 107 106 105 104 103 102 101 100 101 102

    %t

    ransmission

    throughatmosphere

    Wavelength (m)

    3

    2002 HIGHER SCHOOL CERTIFICATE EXAMINATION

    Physics

    17 435

    Centre Number

    Student Number

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    Question 19 (4 marks)

    In one of Einsteins famous thought experiments, a passenger travels on a train that

    passes through a station at 60% of the speed of light. According to the passenger, the

    length of the train carriage is 22 m from front to rear.

    (a) A light in the train carriage is switched on. Compare the velocity of the light

    beam as seen by the passenger on the train and a rail worker standing on the

    station platform.

    ...............................................................................................................................

    ...............................................................................................................................

    (b) Calculate the length of the carriage as observed by the rail worker on the station

    platform.

    ...............................................................................................................................

    ...............................................................................................................................

    ...............................................................................................................................

    ...............................................................................................................................

    ...............................................................................................................................

    ...............................................................................................................................

    3

    1

    18

    Marks

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    Question 20 (3 marks)

    A student is investigating inertial and non-inertial frames of reference. The student

    carries out a series of activities on a boat floating on a large, calm lake. The boat

    remained level during these activities.

    Each activity and the students observed results are recorded in the table.

    Justify the students conclusion that: The boat can be regarded as an inertial frame of

    reference.

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    Observation

    Ball fell vertically with increasing

    velocity

    Ball rolled across the floor with a

    constant velocity

    Ball rolled across the floor with aconstant velocity

    Activity

    Dropped a ball from a set height

    Rolled a ball from one side of the

    boat to the other

    Rolled a ball from the back of theboat towards the front of the boat

    3

    19

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    Question 21 (4 marks)

    In his science fiction novel From the Earth to the Moon, Jules Verne describes how to

    launch a capsule from a cannon to land on the moon. To reach the moon, the capsule

    must leave the cannon with a speed of 1.06 104

    m s1

    . The cannon has a length of215 m, over which the capsule can be assumed to accelerate constantly.

    (a) Calculate the magnitude of the acceleration required to achieve this speed using

    this cannon.

    ...............................................................................................................................

    ...............................................................................................................................

    ...............................................................................................................................

    (b) Referring to your answer in part (a), explain why Jules Vernes method is

    unsuitable for sending a living person to the moon.

    ...............................................................................................................................

    ...............................................................................................................................

    ...............................................................................................................................

    ...............................................................................................................................

    2

    2

    20

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    Question 23 (7 marks)

    (a) State Lenzs law.

    ...............................................................................................................................

    ...............................................................................................................................

    (b) When the metal rod is moved upwards through the magnetic field as shown in

    the diagram, an emf is induced between the two ends.

    (i) Which end of the rod is negative?

    ...................................................................................................................

    (ii) Explain how the emf is produced in the rod.

    ...................................................................................................................

    ...................................................................................................................

    ...................................................................................................................

    ...................................................................................................................

    ...................................................................................................................

    ...................................................................................................................

    (c) Explain how the principle of induction can be used to heat a conductor.

    ...............................................................................................................................

    ...............................................................................................................................

    ...............................................................................................................................

    ...............................................................................................................................

    2

    3

    1

    NS NS

    EndX

    End Y

    Direction of motion

    1

    22

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    Section I Part B (continued)

    Marks

    Question 24 (8 marks)

    In terms of band structures and relative electrical resistance, describe the differences

    between a conductor, an insulator and a semiconductor.

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    8

    2002 HIGHER SCHOOL CERTIFICATE EXAMINATION

    Physics

    23 437

    Centre Number

    Student Number

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    Question 25 (6 marks)

    A pair of parallel metal plates, placed in a vacuum, are separated by a distance

    of 5.00 103 m and have a potential difference of 1000 V applied to them.

    (a) Calculate the magnitude of the electric field strength between the plates.

    ...............................................................................................................................

    ...............................................................................................................................

    (b) Calculate the magnitude of the electrostatic force acting on an electron between

    the plates.

    ...............................................................................................................................

    ...............................................................................................................................

    (c) A beam of electrons is fired with a velocity of 3.00 106 m s1 between the

    plates as shown. A magnetic field is applied between the plates, sufficient to

    cancel the force on the electron beam due to the electric field.

    Calculate the magnitude and direction of the magnetic field required between

    the plates to stop the deflection of the electron beam.

    ...............................................................................................................................

    ...............................................................................................................................

    ...............................................................................................................................

    ...............................................................................................................................

    ...............................................................................................................................

    ...............................................................................................................................

    +

    Beam of electrons 1000 V

    4

    1

    1

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    Question 26 (3 marks)

    Some materials become superconductors when cooled to extremely low temperatures.

    Identify THREE properties of superconductors.

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    Question 27 (4 marks)

    There are two areas in which energy savings can be made by the use of superconductors.

    These are:

    electricity generation and transmission;

    transportation.

    Discuss how energy savings can be achieved in each of these two areas.

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

    .........................................................................................................................................

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    4

    3

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    BLANK PAGE

    Board of Studies NSW 2002

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    Section II

    25 marksAttempt ONE question from Questions 2832

    Allow about 45 minutes for this section

    Answer the question in a writing booklet. Extra writing booklets are available.

    Show all relevant working in questions involving calculations.

    Pages

    Question 28 Geophysics ........................................................................... 2829

    Question 29 Medical Physics ................................................................... 3031

    Question 30 Astrophysics ......................................................................... 3233

    Question 31 From Quanta to Quarks ....................................................... 3435

    Question 32 The Age of Silicon ............................................................... 3637

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    Question 28 (continued)

    (c) The graph shows the travel time for P waves and Swaves at different surface

    distances from an earthquake epicentre.

    (i) Contrast the properties of P waves and Swaves.

    (ii) Account for the absence of Swaves at distances greater than 11 000 km

    from the earthquake epicentre.

    (iii) Identify how this graph supports the existence of a solid inner core

    of Earth.

    (d) Assess the application and advantages of TWO geophysical methods in mineral

    exploration.

    End of Question 28

    7

    2

    2

    2

    Surface distance from epicentre (km)

    10

    5

    15

    20

    25

    05000 10 000 15 000 20 000

    S

    P

    P''

    P'

    P''

    Traveltime(minutes)

    29

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    Question 29 Medical Physics (25 marks)

    (a) (i) Briefly describe how an endoscope works.

    (ii) Explain how a computed axial tomography (CAT) scan is produced.

    (b) Technetium 99m is an artificial isotope which is frequently used to obtain a scan

    of the human body.

    (i) Using the graph, determine the half life of technetium 99m.

    (ii) A patient is given an injection containing 6.0 1018 kg of

    technetium 99m. The scan is taken four hours after the injection.

    How much technetium 99m remains undecayed when the scan is taken?

    (Give your answer in kilograms.)

    (iii) Propose reasons why scans are best taken between two and five hours

    after injection of this radioisotope.

    Question 29 continues on page 31

    3

    2

    100

    75

    50

    25

    04 6 8 10 1 2 14 1 6 18 20 22 24 26 28 30 3 2 34 3620

    Time (hours)

    %o

    ftechnetium9

    9m

    remaininginsample

    1

    4

    2

    30

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    Question 29 (continued)

    (c) The diagrams shown are an MRI of the human upper arm, an X-ray of a human

    hand and a CAT scan of the human pelvis (hip bone) as seen in cross-section

    from above.

    MRI of human X-ray of human CAT scan of human pelvis (hipbone)

    upper arm hand

    Procedure time: Procedure time: Procedure time:

    3060 minutes 5 minutes 40 minutes

    (i) Identify TWO advantages of MRI scans over CAT scans.

    (ii) A patient is brought into a hospital out-patients ward complaining of a

    severe headache. He explains that he hit his head while playing football.The doctor thinks that the patient may be suffering from a fractured

    skull.

    Explain why the doctor would order an X-ray to confirm the diagnosis

    of a fractured skull.

    (iii) The patient, now diagnosed with a fractured skull, complains of other

    symptoms that may indicate that he is suffering from brain damage.

    Suggest ONE additional scan which may be required to confirm thisdiagnosis. Justify your choice.

    (d) Assess the impact of medical applications based on ultrasound and the magnetic

    field of particles within the body on modern society.

    End of Question 29

    7

    2

    2

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    Question 30 Astrophysics (25 marks)

    (a) (i) The star Algol is an eclipsing binary as viewed from Earth.

    Describe the observations made by astronomers to identify a star as aneclipsing binary.

    (ii) Binary stars are important in determining stellar masses.

    Explain how the total mass of a binary star system can be calculated.

    (b) The table gives information about various nearby stars.

    (i) Which star from the table is the most blue in colour?

    (ii) Calculate how much brighter Ross 154 is than Proxima Centauri when

    viewed from Earth.

    (iii) Sketch a labelled diagram indicating the information required to use the

    trigonometric parallax method to determine the distance to Barnards

    Star.

    Question 30 continues on page 33

    3

    2

    1

    ColourIndex

    1.90

    1.74

    1.51

    1.75

    Apparentvisual magnitude

    11.01

    9.54

    7.49

    10.37

    Distance(parsecs)

    1.29

    1.82

    2.55

    2.97

    Star

    Proxima Centauri

    Barnards Star

    Lalande 21185

    Ross 154

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    Question 31 From Quanta to Quarks (25 marks)

    (a) (i) Describe Davisson and Germers experiment that confirmed the

    de Broglie hypothesis of wave-particle duality.

    (ii) Explain the stability of the electron orbits in the Bohr atom, using

    de Broglies hypothesis.

    (b) The diagram shows the kinetic energy distribution of the electrons emitted in the

    -decay of 21083Bi into21084Po. The energy released during -decay depends on the

    mass defect in the transmutation, as it does in nuclear fission.

    (i) Identify the scientist who suggested that the existence of the neutrino

    relates to the need to account for the energy distribution of electrons

    emitted in -decay.

    (ii) Use the data to calculate the mass defect in the -decay of210

    83Bi.(Assume that the neutrino is a massless particle.)

    (iii) Account for the energy distribution of electrons emitted in this -decay.

    Question 31 continues on page 35

    3

    2

    1

    0.1

    9

    8

    7

    6

    5

    4

    3

    2

    1

    00 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3

    Relativenumberofelectrons

    Kinetic energy of electrons, Ek(MeV)

    Nucleusor particle Mass(amu)

    210Bi

    210Po

    e

    209.938 57

    209.936 78

    0.000 55

    End-point Ek(max)

    4

    2

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    Question 31 (continued)

    (c) The diagram represents the four spectral lines in the visible region of the

    hydrogen spectrum known as the Balmer Series.

    (i) Explain how the Balmer Series provides strong experimental evidence in

    support of Bohrs model of the hydrogen atom.

    (ii) Calculate the wavelength of the next line in the Balmer Series.

    (d) Discuss how neutron scattering and ONE other process have been used to

    increase our understanding of the structure of matter.

    End of Question 31

    7

    3

    3

    410 434 486 656

    H H H H

    Wavelength (nm)

    NOT TO

    SCALE

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    Question 32 (continued)

    (c) The table gives the output voltage of an amplifier as a function of the input

    voltage.

    (i) Describe the properties of an ideal amplifier.

    (ii) Calculate the gain of this amplifier.

    (iii) Propose why this amplifier is not suitable for input signals that vary

    from250 microvolt to +250 microvolt.

    (d) Early computers used thermionic devices. Later computers used transistors and

    today computers use integrated circuits. Discuss the impact and limitations of

    these developments.

    End of paper

    7