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    2013H 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

    Physics

    General Instructions

    •Readingtime–5minutes

    •Workingtime–3hours

    •Writeusingblackorbluepen

    Blackpenispreferred

    •Drawdiagramsusingpencil

    •Board-approvedcalculatorsmay

    beused

    •Adatasheet,formulaesheetsand

    PeriodicTableareprovidedat

    thebackofthispaper

    •WriteyourCentreNumberand

    StudentNumberatthetopof

    pages13,17,19,23and25

    Total marks – 100

    Section I Pages2–27

    75 marks

    Thissectionhastwoparts,PartAandPartB

    PartA–20marks•AttemptQuestions1–20

    •Allowabout35minutesforthispart

    PartB–55marks

    •AttemptQuestions21–31

    •Allowabout1hourand40minutesforthispart

    Section II Pages29–39

    25 marks•AttemptONEquestionfromQuestions32–36

    •Allowabout45minutesforthissection

    2710

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    Spacecraft

    ToSaturn

    Jupiter

    NOTTO

    SCALE

    Section I75 marks

    Part A – 20 marks

    Attempt Questions 1–20

    Allow about 35 minutes for this part

    Usethemultiple-choiceanswersheetforQuestions1–20.

    1 Aninvestigation isdesigned todetermine the sizeof the generated current when the

    strengthofamagnetisvaried.

    Whichistheindependentvariableforthisinvestigation?

    (A) Speedofthemagnet

    (B) Strengthofthemagnet

    (C) Sizeofthegeneratedcurrent

    (D) Distancebetweenthecoilandthemagnet

    2 ThisdiagramshowsthepathofaspacecraftasitgoespastJupiterandheadstowards

    Saturn.

    Whicheffectinfluencesthepathofthespacecraft?

    (A) Frictional

    (B) Motor

    (C) Photoelectric

    (D) Slingshot

    –2 –

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    3

    4

    Thediagramshowsequipmentattachedtoabattery.

    N

    DC power

    sourceMetal dish

    Conducting

    liquid

    Magnetic field lines

    Current

    X  

    Y  

    InwhichdirectionwillthewireXY move?

    (A) Clockwise

    (B) Anticlockwise

    (C) Towardsthemagnet

    (D) Awayfromthemagnet

    Studentsperformedaninvestigationtodeterminetheinitialvelocityofaprojectile.

    Whichrowcorrectlyidentifiesahazardofthisinvestigationandarelatedprecaution?

    (A)

    (B)

    (C)

    (D)

     Hazard Safety precaution

    flyingprojectile wearingsafetyglasses

    rangeofprojectile measuringtherangewithatapemeasure

    enclosedshoes limitingtherangeoftheprojectile

    safetyglasses flyingprojectile

    –3 –

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    5 ThediagramrepresentsanexperimentthatwasconductedbyHertz.

    SparkDCpower

    source

    Transmitter Receiver

    WhatwasHertztryingtoinvestigate?

    (A) Photoelectriceffect

    (B) Electricalinduction

    (C) Blackbodyradiation(D) Propertiesofradiowaves

    6 Thisdiagramshowsthepathofacannonball,firedfromacannon.

    Which set of vectors represents the horizontal and vertical components of the

    cannonball’svelocityalongthepath?

     Horizontal Vertical

    (A)  →  →  →   →   ↓ 

       ↓  ↓ 

     ↓ 

    (B)  →  →  →   →  ↑   ↑  ↓ 

     ↓ 

    (C)  →   →   →   →  ↑   ↑  ↓ 

     ↓ 

    –4 –

    (D)  →   →   →   →   ↓ 

       ↓  ↓ 

     ↓ 

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    7 Eddycurrentsareamajorsourceofenergylossinanironcoretransformer.

    Whatisonewaytominimisethisenergyloss?

    (A) Laminatetheironcorewithaninsulator

    (B) Putfewerturnsofwireintheprimarycoil

    (C) Operatethetransformerwithahighercurrent

    (D) Decreasethedistancebetweentheprimaryandsecondarycoils

    8 Whichofthediagramsbestrepresentsanexampleofaninertialframeofreference?

    (A)

    (B)

    (C)

    (D)

    9 Threepotentiallyhazardousconditionsthatcanbeexperiencedbyastronautsinspaceare

    listed.

    I Extremeheat

    II Weightlessness

    III Communicationblackout

    Whichcombinationof theseconditions isassociated with safe re-entryof a manned

    spacecraft?

    (A) IandIIonly

    (B) IandIIIonly

    (C) IIandIIIonly

    (D) I,IIandIII

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    10 Thediagramrepresentsthetransferofelectricalenergyfromapowerstationtoalaptop

    computer.

    Whichflowdiagramshowsthecorrectuseoftransformersinthistransfer?

    (A) Step-down Step-up Step-up Step-down

    (C) Step-up Step-down Step-down Step-down

    (B) Step-down Step-down Step-up Step-up

    (D) Step-up Step-up Step-down Step-up

    11 WhydidtheBraggsuseX-raystodeterminethecrystalstructureofmetals?

    (A) X-rayshavealowfrequency.

    (B) X-rayshaveashortwavelength.

    (C) X-rayscanpassthroughmetals.

    (D) X-raystravelatthespeedoflight.

    12 Why is a magnet able to hover above a superconductor that is below its critical

    temperature?

    (A) Thesuperconductorexcludesmagneticflux.

    (B) Thesuperconductorlosesconductivepropertieswhenplacedinamagneticfield.

    (C) Theeddycurrentinthesuperconductorcreatesapotentialdifferencebetweenthe

    magnetandthesuperconductor.

    (D) Thegravitationalforceonthemagnetisbalancedbytheforcecreatedbythecrystal

    latticestructureofthesuperconductor.

    –6 –

    Power Regional Local In-homestation substation substation laptop

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    13 Differentmagneticfieldsarepassingthroughtwocopperrings,P andQ,asshown.

    P Q 

    Whichrowofthetablecorrectlyidentifiestheringwiththegreatermagneticfluxandthe

    ringwiththegreatermagneticfluxdensity?

    (A)

    (B)

    (C)

    (D)

    Greater magnetic flux Greater magnetic flux density

    P P

    Q Q

    P Q

    Q P

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    Distance

    14 Twochargedplatesareinitiallyseparatedbyadistanceasshowninthediagram.

    Thepotentialdifferencebetweentheplatesremainsconstant.

    Whichofthegraphsbestrepresentsthechangeinelectricfieldstrengthasthedistance

    betweenthetwoplatesisincreased?

    (A)

    Distance

       E   l  e  c   t  r   i  c   f

       i  e   l   d

      s   t  r  e  n  g   t   h

    (B)

    Distance

       E   l  e  c   t  r   i  c   f

       i  e   l   d

      s   t  r  e  n  g   t   h

       E   l  e  c   t  r   i  c   f   i  e   l   d

      s   t  r  e  n  g   t   h

    (C)

    Distance

      s   t  r  e  n  g   t   h

    (D)

       E   l  e  c   t  r   i  c   f   i  e   l   d

    Distance

    –8 –

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    15 Thediagramshowsasingle-loopmotor.

      °

    N

     

    Y

    Z

    SN

    30°

    X  

    W  

    Y  

    Z  

    S

    DCpowersupply

    Theequationsτ  = nBIA cosθ   and F  =  BI l  sinω   canbeusedtocalculatethetorqueinthemotorandtheforceonthelengthofwireWX respectively.

    Whatanglesarerepresentedbyθ  andω   intheaboveequations?

    (A)

    (B)

    (C)

    (D)

    θ   ω  

    30° 90°

    30° 30°

    60° 90°

    60° 30°

    16 Whichphysicalphenomenonallowscurrenttoflowthroughametalwire?

    (A) Holescanmovethroughawire.

    (B) Chargedatomscanmovethroughawire.

    (C) Electronsinafullyfilledbandcancarrychargethroughawire.(D) Electronsinapartiallyfilledbandcancarrychargethroughawire.

    –9 –

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    17 WhichgraphbestrepresentsthechangeintorqueforaDCmotor,witharadialmagnetic

    field,fromstartuptooperatingspeed?

    Motorspeed

    Torque(A)

    (B) Torque

    Motorspeed

    (C) Torque

    Motorspeed

    (D) Torque

    Motorspeed

    18 MichelsonandMorleyconductedanexperimenttomeasuretherelativevelocityofthe

    Earththroughtheaether.

    Whyistheresultoftheexperimentsignificant?

    (A) TheresultsupportedMichelsonandMorley’shypothesis.

    (B) Theresultshowedtheirhypothesiswasincorrectbecausetheirinvestigationwas

    notaccurateenough.

    (C) Thefailuretodetecttheexpectedrelativevelocitycontributedtothedevelopment

    ofspecialrelativity.

    (D) The successful verification of the expected relative velocity contributed to the

    developmentofspecialrelativity.

    –10–

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    19 Aspaceshipmovesclosetothespeedoflight,relativetoaplanet.

    Therest-framelengthofthespaceshipcanbedeterminedbyanobserverwhois

    (A) onthespaceshipmeasuringthetimetakenforlighttotravelbetweentwopointson

    theplanet.(B) ontheplanetmeasuringthetimetakenforlighttotravelfromthefronttotheback

    ofthespaceship.

    (C) onthespaceshipmeasuringthetimetakenforlighttotravelfromthefronttothe

    backofthespaceship.

    (D) ontheplanetmeasuringthedifferenceinthearrivaltimeoflightfromthefrontand

    thebackofthespaceship.

    20 Thegraphshowsthemaximumkineticenergy( E )withwhichphotoelectronsareemitted

    asafunctionoffrequency( f )fortwodifferentmetals X andY .

     E   X   Y  

    50 10 15  f  (×1014H z)

    Themetalsareilluminatedwithlightofwavelength450nm.

    Whatwouldbetheeffectofdoubling the intensityofthis lightwithoutchangingthe

    wavelength?

    (A) For metal X , the number of photoelectrons emitted would not change but the

    maximumkineticenergywouldincrease.

    (B) For metal  X , the number of photoelectrons emitted would increase but the

    maximumkineticenergywouldremainunchanged.

    (C) Forbothmetals X andY ,thenumberofphotoelectronsemittedwouldnotchange

    butthemaximumkineticenergywouldincrease.

    (D) Forbothmetals X andY ,thenumberofphotoelectronsemittedwouldincreasebut

    themaximumkineticenergywouldremainunchanged.

    –11–

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    BLANKPAGE

    –12–

    ©Board of Studies NSW 2013 

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    2013 HIGHER SCHOOL CER TIFICATE EXAMINATION

    Physics

    Section I (continued)

    Part B – 55 marksAttempt Questions 21–31

    Allow about 1 hour and 40 minutes f or this part

    Answerthequestionsinthespacesprovided.Thesespacesprovideguidancefortheexpected

    lengthofresponse.

    Showallrelevantworkinginquestionsinvolvingcalculations.

    CentreNumber

    StudentNumber

    Question 21 (4marks)

    Duringthecourseyoustudiedoneofthefollowingscientistswhohascontributedto

    thedevelopmentofspaceexploration:

    • Tsiolkovsky

    • Oberth

    • Goddard

    • Esnault-Pelterie

    • O’Neill

    • vonBraun

    Nameofscientiststudied: .................................................................

    (a) OutlineONEcontributionmadebythenamedscientisttothedevelopmentof

    spaceexploration.

    2

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

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

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    (b) Outlinehowtoensurethatsecondarysourcesofinformationaboutthescientist

    arereliable.

    2

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    2711 –13 –

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       V  e  r   t   i  c  a   l  v  e   l  o  c   i   t  y   (  m   s

      –   1   )

    0.3

    0

    0.40 0.60 0.80 1.00 1.20 1.40 1.60 1.80 2.00

    Time (s)

    3

    Question 22 (3marks)

    Thissetofdatawasobtainedfromamotioninvestigationtodeterminetheacceleration

    duetogravityonaplanetotherthanEarth.

    Time(s)

    0.60

    1.00

    1.20

    1.40

    1.80

    Verticalvelocity(ms –1)

    0.02

    0.09

    0.12

    0.17

    0.23

    Plotthedatafromthetable,andthencalculatetheacceleration.

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    –14–

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    Question 23 (5marks)

    Aplanetorbitsthestar,Pollux,atadistanceof1.64astronomicalunits(AU).Ittakes

    590Earthdaystocompleteoneorbit.

    (a) WhydoesthemassoftheplanetplayNOroleindeterminingitsorbitalspeedaroundPollux?

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

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

    2

    (b) AsatelliteorbitsPolluxwithaperiodof365Earthdays.

    HowfaristhesatellitefromPolluxinastronomicalunits(AU)?

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

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

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    –15–

    3

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    BLANKPAGE

    –16–

    ©Board of Studies NSW 2013 

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    2013 HIGHER SCHOOL CER TIFICATE EXAMINATION

    Physics

    Section I – Part B (continued)CentreNumber

    StudentNumber

    Question 24 (5marks)

    Withtheaidofadiagram,explainhowaphotocellworks.

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    2712 –17 –

    5

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    Question 25 (4marks)

    P,Q and R arestraightcurrent-carryingconductors.

    ConductorsP and R arefixedandunabletomove.ConductorQ isfreetomove.

    P  Q R 

    6A 2A 2A1m

    5mm 2.5mm

    (a) InwhichdirectionwilltheconductorQ moveasaresultofthecurrentflowin P

    and R?

    1

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

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

    (b) CalculatethemagnitudeoftheforceexperiencedbyQ asaresultofthecurrents

    throughP and R.

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

    3

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    –18–

    ©Board of Studies NSW 2013

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    2013 HIGHER SCHOOL CER TIFICATE EXAMINATION

    Physics

    Section I – Part B (continued)CentreNumber

    StudentNumber

    Question 26 (5marks)

    Anelectricfieldisproducedbetweentwochargedparallelplates, M and N .

     M  

     N  

    (a) Theplates, M and N ,are1.0cmapartandhaveanelectricfieldof15Vm–1

    .

    Calculatethepotentialdifferencebetweentheplates.

    2

    (b) Thepotentialdifferenceisnowchangedandamagneticfieldof0.5Tisplacedperpendiculartotheplates,asshowninthediagrambelow.

    3

    Electron M  

     N  

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

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

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    Determinethemagnitudeanddirectionoftheelectricfieldrequiredtoallowthe

    electrontotravelthroughundeflected,iftheelectronismovingat1 × 104m s–1.

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

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    2713 –19 –

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    3

    Question 27 (7marks)

    (a) Ageneratorstartsatthepositionshownandisrotatedbyonerevolutioninthe

    firstsecond.Itisthenrotatedbytworevolutionsinthenextsecond.

    motionN

    S

    Sketchagraphontheaxesshowingtheelectromotiveforce(emf)producedby

    thisgeneratorforthesetwoseconds.

    emf

    10 time(s)

    2

    Question 27 continues on page 21

    –20–

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    4

    Question27(continued)

    (b) Anelectricmotorcanbeusedtopropelavehicle.Theelectricmotorcanbe

    madetooperateasageneratorwhenthevehicleismoving.Thiswillhavea

    brakingeffectonthevehicle.

    Explain thephysicsprinciples involved in thepropellingandbrakingof this

    vehicle.

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    End of Question 27

    –21–

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    BLANKPAGE

    –22–

    ©Board of Studies NSW 2013 

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    2013 HIGHER SCHOOL CER TIFICATE EXAMINATION

    Physics

    Section I – Part B (continued)CentreNumber

    StudentNumber

    Question 28 (6marks)

    AssessEinstein’scontributiontoquantumtheory.

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    2714 –23 –

    6

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    Question 29 (5marks)

    A0.05kgmassisliftedataconstantspeedbyaDCmotor.Themotorhasacoilof

    100turnsina0.1Tmagneticfield.Theareaofthecoilis0.0012m2.Themotorshaft

    hasaradiusof0.004m.

    String

    Motor

    Motorshaft

    Table

    Mass

    (a) Determinetheforceneededtoliftthemass. 2...............................................................................................................................

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

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

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

    (b) Calculatetheminimumcurrentrequiredinthecoiltoliftthemass. 3

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    –24–

    ©Board of Studies NSW 2013

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    2013 HIGHER SCHOOL CER TIFICATE EXAMINATION

    Physics

    Section I – Part B (continued)CentreNumber

    StudentNumber

    Question 30 (4marks)

    The diagram shows a futuristic space station designed to simulate gravity in a

    weightlessenvironment.

    Astronaut

    NOTTO

    SCALE

    Rotation

    (a) Explainhowrotatingthespacestationsimulatesgravityfortheastronaut.

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

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    Question 30 continues on page 26

    2715 –25 –

    2

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    2

    Question30(continued)

    (b) Calculatetherotationalspeedthataspacestationwithadiameterof550mwould

    needforastronautstoexperience1g ofacceleration.

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    End of Question 30

    –26–

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    7

    Question 31 (7marks)

    Explainhowchangingtheelectricalpropertiesofmaterialshasledtothedevelopment

    ofnewtechnologieswhichcanbenefitsociety.

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    –27–

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    BLANKPAGE

    –28–

    ©Board of Studies NSW 2013 

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    2013 HIGHER SCHOOL CER TIFICATE EXAMINATION

    Physics

    Section II

    25 marksAttempt ONE question from Questions 32–36

    Allow about 45 minutes for this section

    ForQuestion32

    • answerparts(a)–(c)ofthequestioninSectionIIAnswerBooklet1.

    • answerparts(d)–(f)ofthequestioninSectionIIAnswerBooklet2.

    Extrawritingbookletsareavailable.

    ForQuestions33,34and36

    • answerparts(a)–(d)ofthequestioninSectionIIAnswerBooklet1.

    • answerparts(e)–(f)ofthequestioninSectionIIAnswerBooklet2.

    Extrawritingbookletsareavailable.

    ForQuestion35

    • answerparts(a)–(c)ofthequestioninSectionIIAnswerBooklet1.

    • answerparts(d)–(e)ofthequestioninSectionIIAnswerBooklet2.

    Extrawritingbookletsareavailable.

    Showallrelevantworkinginquestionsinvolvingcalculations.

    Pages

    Question32 Geophysics ...........................................................................30–31

    Question33 MedicalPhysics ...................................................................32–33

    Question34 Astrophysics.........................................................................34–35

    Question35 FromQuantatoQuarks .............................................................36

    Question36 TheAgeofSilicon...............................................................37–39

    2716 –29 –

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    Question 32 — Geophysics (25marks)

    Answerparts(a)–(c)inSectionIIAnswerBooklet1.

    (a) DescribehowONEpieceofgeophysicsequipmentdetectsseismicwaves. 3

    (b) (i) Describeaprocedurethatcouldbefollowedtodeterminethedensityof

    rocktypes.

    (ii) Howcouldthereliabilityoftheresultsofpart(b)(i)bedetermined? 2

    3

    (c) ThediagramshowstheageandpositionofeachislandintheHawaiianislandchain.

    lands

    b e

    olde

    AgeinmillionsofyearsN m.y.

    Hawaii(

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    Question32(continued)

    Answerparts(d)–(f)inSectionIIAnswerBooklet2.

    (d) ThegraphsshowtheobservedgravityanomalyacrosstheJapanTrenchanditsrelationship to topography. The earthquake zone is dipping away from the

    trench.

    3

    Explainthesignificanceoftheshapeofthegravityanomalylinewithreference

    tothegraphs.

    (e) TheEarthhasaradiusof6357kmthroughthepoles.Showhowtheacceleration

    duetogravityattheNorthPolecanbedetermined.

    3

    (f) Discusstheeffectivenessofusinggeophysicalmethodsinmineralexploration

    andenvironmentalmonitoring.

    End of Question 32

    –31–

    6

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    Question 33 — Medical Physics (25marks)

    Answerparts(a)–(d)inSectionIIAnswerBooklet1.

    (a) OutlinedifferencesbetweenX-rayimagesandCATscans. 3

    (b) Outlineafirst-handinvestigationtodemonstratethetransferoflightbyoptical

    fibres.

    2

    (c) Explain how an endoscope can be used to obtain tissue samples of internal

    organs.

    3

    (d) (i) How is the orientation of the magnetic axis of a hydrogen nucleus

    affected bythe applicationofa strong magnetic fieldduring anMRI

    scan?

    (ii) Explainthedifference intherelaxationtimeofhydrogeninwaterand

    therelaxationtimeofhydrogeninothermolecules.

    2

    Question 33 continues on page 33

    –32–

    3

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    Question33(continued)

    Answerparts(e)–(f)inSectionIIAnswerBooklet2.

    (e) (i) HowistheDopplereffectusedinultrasonicstoinvestigatebloodflowcharacteristics?

    (ii) OutlineTWOtechnologiesthatarerequiredforanultrasoundscan.

    3

    3

    (f) Thedatasetgivesinformationaboutavarietyofradioactiveisotopes,someof

    whichcanbeusedindiagnostictoolsformedicine.

    6

     Radioactive isotope Radiation emitted Half life

    Fluorine-18 β  + 109.77minutes

    Strontium-90 β   28.8years

    Carbon-14 β   5730years

    Technetium-99m γ   6hours

    Cobalt-60 γ   5.27years

    Usingtheinformationinthetable,justifywhichradioactiveisotopesaresuitable

    foruseindiagnosticimagingtechniques.

    End of Question 33

    –33–

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    Question 34 — Astrophysics (25marks)

    Answerparts(a)–(d)inSectionIIAnswerBooklet1.

    (a) Describeaninvestigationthatcanbeusedtoshowwhyitisdesirableintermsofsensitivityforatelescopetohavealargerdiameterlens. 3

    (b) MatarisastarinthesamespectralclassastheSun,yet ithasfourtimesthe

    massoftheSun.

    (i) Draw a labelled Hertzsprung–Russell (H–R) diagram, and mark the

    positionofMataronthediagramwithanX.

    3

    (ii) Contrastthephysicalproperties,otherthanmass,ofMatarandtheSun. 2

    (c) DescribethedominantnuclearreactioninanA2mainsequencestar. 3

    (d) Describethetransitionprocessofa G2mainsequencestar, suchastheSun,

    evolvingintoaredgiant.

    3

    Question 34 continues on page 35

    –34–

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    Question34(continued)

    Answerparts(e)–(f)inSectionIIAnswerBooklet2.

    (e) Thegraphsgiveinformationthatcouldbeusedtocalculatethedistancefrom

    EarthtoaType1CepheidVariable.

    Light Curve for the Cepheid6.0

    6.5

    7.0

    Time(days)

       A  p  p  a  r  e  n   t  m  a  g  n   i   t  u   d  e  s

    0 4 8 12 16 20 24 28 32

    The Period-Luminosity Relationship

    –6

    –5

    –4

    –3

    –2

    –1

    0

    Period(days)

       A   b  s  o   l  u   t  e  m  a  g  n   i   t  u   d  e  s

    2.5 5 10 20 40 80

    (i) Thestarisclaimedtobeapproximately1260parsecsfromEarth.

    Showhowthisclaimissupportedorrefutedbytheinformationinthe

    graphs.

    3

    (ii) State an advantage and a disadvantage of using the graphs above

    tocalculatethedistancetoastar.

    2

    (f) How is light analysed, using physics principles, in order to determine the

    standardpropertiesforthemainsequencestarsofSpectralClassAshowninthis

    table?

    6

    End of Question 34

    –35–

    Awaiting copyright

    Acknowledgement: CSIRO

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    Question 35 — From Quanta to Quarks (25marks)

    Answerparts(a)–(c)inSectionIIAnswerBooklet1.

    (a) (i) OutlinethekeyfeaturesoftheRutherfordmodeloftheatom. 2

    (ii) Explain how the Bohr model of the atom overcomes an identified

    limitationoftheRutherfordmodeloftheatom.

    3

    (b) Thisequationdescribesanuclearreaction.

    235 U  +  1 n  →  141 Ba   +  92  Kr   +  3  1 n 92

     

    56 

    36 

    0

    Particle Mass(amu)

    235 U 92

     

    235.0439

    141 Ba 56

     

    140.9144

    92 Kr 36 

    91.9263

    1 n 

    0 1.008665

    (i) Usethedataabovetocalculatetheenergyreleasedinthisreaction. 3

    (ii) ApplyEinstein’sideaoftheequivalenceofmassandenergytoexplaintheproductionofenergyinthereactionabove.

    2

    (c) Pauliissaidtohave‘suggested’theexistenceoftheneutrino.

    Explainwhytheneutrinowas‘suggested’butnotdiscoveredbyPauli.

    4

    Answerparts(d)–(e)inSectionIIAnswerBooklet2.

    (d) (i) Identifythefundamentalforcesproposedbythestandardmodelofthe

    atom.

    (ii) Explainhowthestabilityofatomicnucleiismaintained. 3

    2

    (e) How did de Broglie use existing concepts and ideas to come up with newinterpretationsthathaveincreasedourunderstandingofthestructureofmatter?

    6

    –36–

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    Question 36 — The Age of Silicon (25marks)

    Answerparts(a)–(d)inSectionIIAnswerBooklet1.

    (a) Thiscircuitshowshowalight-dependentresistor(LDR)canbeusedtocontrolavoltageoutput. 3

    +5V

    10k W 

    V outLDR

    TheresponsecurveoftheLDRinthecircuitisshown.

    Response curve of LDR

    1

    10

    100

    1000

       R  e  s   i  s   t  a  n  c  e   (   k     W     )

    1 10 100

    Illuminance(lux)

    WhatwouldthevoltageV outbewhenthelightintensityattheLDRis20lux?

    Question 36 continues on page 38

    –37–

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    Question36(continued)

    (b) DescribetheroleofaLDRinacamera. 3

    (c) Explainhowinputandoutputtransducerscanbeusedtocontrolthetemperature

    inaroom.

    4

    (d) For the logic circuit, construct a truth table showing the output, O, for all

    possiblecombinationsofinputsA,BandC.

    3

    A

    B

    C

    O

    Question 36 continues on page 39

    –38–

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    Question36(continued)

    Answerparts(e)–(f)inSectionIIAnswerBooklet2.

    (e) (i) Describeanidealoperationalamplifier. 2

    (ii) Thediagramshowsanoperationalamplifier. 2

     Rin=4.7k W 

    V inV out

    Reproducethisdiagraminyourwritingbookletandmodifyittoperform

    asaninvertingamplifierwithagainof2.

    (iii) ThediagramshowsaninputwaveformV inforaninvertingamplifierwith

    againof2.

    2

    V in

    (V)

    0

    –1

    –2

    1

    2

    t (s)

    input

    SketchtheoutputwaveformV out inyourwritingbooklet.

    (f) Assesshowthedevelopmentofelectronicssincetheinventionofthetransistor

    hasmettheincreasingcomputingneedsofsociety.

    –39–

    6

    End of paper

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    BLANKPAGE

    –40–

    ©Board of Studies NSW 2013 

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    2013 HIGHER SCHOOL CER TIFICATE EXAMINATION

    Physics

    DATA SHEET

    Chargeonelectron,qe

    Massofelectron,me

    Massofneutron,mn

    Massofproton,m p

    Speedofsoundinair

    Earth’sgravitationalacceleration,g

    Speedoflight,c

     µ    0 

     Magneticforceconstant, k  ≡

       2π  

       

    Universalgravitationalconstant,G

    MassofEarth

    Planckconstant,h

    Rydbergconstant, R (hydrogen)

    Atomicmassunit,u

    1eV

    Densityofwater,ρ  

    Specificheatcapacityofwater

    2717 –41 –

    –1.602× 10–19C

    9.109× 10–31kg

    1.675× 10–27kg

    1.673× 10–27kg

    340ms–1

    9.8ms–2

    3.00× 108ms–1

    2.0× 10–7NA–2

    6.67× 10–11Nm2kg–2

    6.0× 1024kg

    6.626× 10–34Js

    1.097× 107m–1

    1.661× 10–27kg2931.5MeV / c

    1.602× 10–19J

    1.00× 103kgm–3

    4.18× 103Jkg–1K–1

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    FORMULAE SHEET

    v  =   f λ  

    1

     I   ∝ 2d  

    v  sin  i 1  = 

    v  sin  r 2 

    F  E   = 

    V  R  = 

     I  

    P  =   VI  

    Energy  =   VI t t  

    m m   E   = − G  1 2   p

      r  

    F  

    =   mg 

    2 2v  =   u x x 

    v  = +u  at  

    v  2  =   u  2  + 2a  ∆ y y y   y 

    ∆ x  =   u t u x 

    1   2 y  u t  +∆ =   a t  y y2

     

    3r   GM  = 

    T 2 4π 2 

    r ∆ 

    vav  =

     

    t ∆ 

    F  

    Gm 

    m1 2 

    d 2 

    aav 

    = v 

    t  

    ∆ ∆ 

    therefore  aav 

    = v u  

    t  

    −  E   =   mc2 

    F Σ  =   maa lv

     

    ==   l0 

    −1 v 

    F   = mv 2 

     E k  

    r  

    mv 21 

    t v  =

     

    − 

    t  

    1 2 

    W   =   Fs m  = 

    m0 

    1 −  v 

     p  =   mv  2c 

    Impulse  =   F t  

    –42–

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    FORMULAE SHEET

    F    I I    11 2   d   = =   k    pl d  

    F   =   BI l sinθ       d     M   =   m − 5log   10  

    τ   =   Fd   I   (m  −   m  )   5 A   B A =  100  I  

    τ   =   nBIA cosθ    B 

    2 344π   r  V n  m  + m  = 

     p p 

    1 2 

    2 =

     

    GT  

    V ns s 

     1  1 1F   =   q   sinθ    =   R   −    qvB 

    λ      2 2    n f   ni    

    V  E   = 

    hd   λ  = mv 

     E   =   h f  

    V c  =   f λ   out A  = 0

      V iin 

    V  Z   =   ρ v  ou t  = −

      R f  

    V Rin 

     Z   2

     I r    Z 2  −  1 

     

    2 I 0

     

     Z 2 

    +  Z 11  

    –43–

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       1   1   2   C  n

       C  o  p  e  r  n   i  c   i  u  m

       9   F   1   9 .   0   0

       F   l  u  o  r   i  n  e

       1   7   C   l

       3   5 .   4   5

       C   h   l  o  r   i  n  e

       3   5   B  r

       7   9 .   9   0

       B  r  o  m   i  n  e

       5   3   I

       1   2   6 .   9

       I  o   d   i  n  e

       8   5   A   t

       A  s   t  a   t   i  n  e

       7   N   1   4 .   0   1

       N   i   t  r  o  g  e  n

       1   5   P

       3   0 .   9   7

       P   h  o  s  p   h  o  r  u  s

       3   3   A  s

       7   4 .   9   2

       A  r  s  e  n   i  c

       5   1   S   b   1   2   1 .   8

       A  n   t   i  m  o  n  y

       8   3   B   i

       2   0   9 .   0

       B   i  s  m  u   t   h

       5   B   1   0 .   8   1

       B  o  r  o  n

       1   3   A   l

       2   6 .   9   8

       A   l  u  m   i  n   i  u  m

       3   1   G  a

       6   9 .   7   2

       G  a   l   l   i  u  m

       4   9   I  n

       1   1   4 .   8

       I  n   d   i  u  m

       8   1   T   l

       2   0   4 .   4

       T   h  a   l   l   i  u  m

       1   0   7   B   h

       B  o   h  r   i  u  m

       1   0   8   H  s

       H  a  s  s   i  u  m

       1

       0   9   M   t

       M  e   i

       t  n  e  r   i  u  m

       1   1   0   D  s

       D  a  r  m  s   t  a   d   t   i  u  m

       1   1   1   R  g

       R  o  e  n   t  g  e  n   i  u  m

    m

       8   9  –   1   0   3

       A  c   t   i  n  o   i   d  s

       1   0   4   R   f

       R  u   t   h  e  r   f  o  r   d   i  u  m

       1   0   5   D   b

       D  u   b  n   i  u  m

       1   0   6   S  g

       S  e  a   b  o  r  g   i  u  m

       E   L   E   M   E   N   T   S

       T   H   E

       T   A   B   L

       E

       O   F

       P   E   R   I   O   D   I   C

       K

       E   Y

       2   H  e

       4 .   0   0   3

       H  e   l   i  u  m

    2 u  m

       A   t  o  m   i  c   N  u  m   b  e  r

       S  y  m   b  o   l

       S   t  a  n   d  a  r   d   A   t  o  m   i  c   W  e   i  g   h   t

       N  a  m  e

       7   9   A  u

       1   9   7 .   0

       G  o   l   d

       6   C   1   2 .   0   1

       C  a  r   b  o  n

       8   O

       1   6 .   0   0

       O  x  y  g  e  n

       1   0   N  e

       2   0 .   1   8

       N  e  o  n

    1  u  m

       1   4   S   i

       2   8 .   0   9

       S   i   l   i  c  o  n

       1   6   S

       3   2 .   0   7

       S

      u   l   f  u  r

       1   8   A  r

       3   9 .   9   5

       A  r  g  o  n

    8 m

       2   1   S  c

       4   4 .   9   6

       S  c  a  n   d   i  u  m

       2   2   T   i

       4   7 .   8   7

       T   i   t  a  n   i  u  m

       2   3   V

       5   0 .   9   4

       V  a  n  a   d   i  u  m

       2   4   C  r

       5   2 .   0   0

       C   h  r  o  m   i  u  m

       2   5   M  n

       5   4 .   9   4

       M  a  n  g  a  n  e  s  e

       2   6   F  e

       5   5 .   8   5

       I  r  o  n

       2   7   C  o

       5   8 .   9   3

       C

      o   b  a   l   t

       2   8   N   i

       5   8 .   6   9

       N   i  c   k  e   l

       2   9   C  u

       6   3 .   5   5

       C  o  p  p  e  r

       3   0   Z  n

       6   5 .   3   8

       Z   i  n  c

       3   2   G  e

       7   2 .   6   4

       G  e  r  m  a  n   i  u  m

       3   4   S  e

       7   8 .   9   6

       S  e   l  e  n   i  u  m

       3   6   K  r

       8   3 .   8   0

       K  r  y  p   t  o  n

    1 u  m

       3   9   Y

       8   8 .   9   1

       Y   t   t  r   i  u  m

       4   0   Z

      r

       9   1 .   2   2

       Z   i  r  c  o  n   i  u  m

       4   1   N   b

       9   2 .   9   1

       N   i  o   b   i  u  m

       4   2   M  o

       9   5 .   9   6

       M  o   l  y   b   d  e  n  u  m

       4   3   T  c

       T  e  c   h  n  e   t   i  u  m

       4   4   R  u

       1   0   1 .   1

       R  u   t   h  e  n   i  u  m

       4   5   R   h

       1   0   2 .   9

       R   h

      o   d   i  u  m

       4   6   P   d   1   0   6 .   4

       P  a   l   l  a   d   i  u  m

       4   7   A  g

       1   0   7 .   9

       S   i   l  v  e  r

       4   8   C   d

       1   1   2 .   4

       C  a   d  m   i  u  m

       5   0   S  n   1   1   8 .   7   T   i  n

       5   2   T  e

       1   2   7 .   6

       T  e   l   l  u  r   i  u  m

       5   4   X  e

       1   3   1 .   3

       X  e  n  o  n

    3 m

       5   7  –   7   1

       L  a  n   t   h  a  n  o   i   d  s

       7   2   H   f

       1   7   8 .   5

       H  a   f  n   i  u  m

       7   3   T  a

       1   8   0 .   9

       T  a  n   t  a   l  u  m

       7   4   W   1   8   3 .   9

       T  u  n  g  s   t  e  n

       7   5   R  e

       1   8   6 .   2

       R   h  e  n   i  u  m

       7   6   O  s

       1   9   0 .   2

       O  s  m   i  u  m

       7   7   I  r

       1   9   2 .   2

       I  r   i   d   i  u  m

       7   8   P   t

       1   9   5 .   1

       P   l  a   t   i  n  u  m

       7   9   A  u

       1   9   7 .   0

       G  o   l   d

       8   0   H  g

       2   0   0 .   6

       M  e  r  c  u  r  y

       8   2   P   b   2   0   7 .   2

       L  e  a   d

       8   4   P  o

       P  o   l  o  n   i  u  m

       8   6   R  n

       R  a   d  o  n

       L  a  n   t   h  a  n  o   i   d  s

       5   7   L  a

       1   3   8 .   9

       L  a  n   t   h  a  n  u  m

       5   8   C  e

       1   4   0 .   1

       C  e  r   i  u  m

       5   9   P

      r

       1   4   0 .   9

       P  r  a  s  e  o   d  y  m   i  u  m

       6   0   N   d

       1   4   4 .   2

       N  e  o   d  y  m   i  u  m

       6   1   P  m

       P  r  o  m  e   t   h   i  u  m

       6   2   S  m   1   5   0 .   4

       S  a  m  a  r   i  u  m

       6   3   E  u

       1   5   2 .   0

       E  u  r  o  p   i  u  m

       6   4   G   d

       1   5   7 .   3

       G  a   d  o   l   i  n   i  u  m

       6   5   T   b

       1   5   8 .   9

       T  e  r   b   i  u  m

       6   6   D  y

       1   6   2 .   5

       D  y  s  p  r  o  s   i  u  m

       6   7   H  o

       1   6   4 .   9

       H  o   l  m   i  u  m

       6   8   E  r

       1   6   7 .   3

       E  r   b   i  u  m

       6   9   T  m   1   6   8 .   9

       T   h  u   l   i  u  m

       7   0   Y   b

       1   7   3 .   1

       Y   t   t  e  r   b   i  u  m

       7   1   L  u

       1   7   5 .   0

       L  u   t  e   t   i  u  m

       A  c   t   i  n  o   i   d  s

       8   9   A  c

       A  c   t   i  n   i  u  m

       9   0   T   h

       2   3   2 .   0

       T   h  o  r   i  u  m

       9   1   P  a

       2   3   1 .   0

       P  r  o   t  a  c   t   i  n   i  u  m

       9   2   U

       2   3   8 .   0

       U  r  a  n   i  u  m

       9   3   N  p

       N  e  p   t  u  n   i  u  m

       9   4   P  u

       P   l  u   t  o  n   i  u  m

       9   5

       A

      m

       A  m  e  r   i  c   i  u  m

       9   6   C  m

       C  u  r   i  u  m

       9   7   B   k

       B  e  r   k  e   l   i  u  m

       9   8   C   f

       C  a   l   i   f  o  r  n   i  u  m

       9   9   E  s

       E   i  n  s   t  e   i  n   i  u  m

       1   0   0   F  m

       F  e  r  m   i  u  m

       1   0   1   M   d

       M  e  n   d  e   l  e  v   i  u  m

       1   0   2   N  o

       N  o

       b  e   l   i  u  m

       1   0   3   L  r

       L  a  w  r  e  n  c   i  u  m

       E   l  e  m  e  n   t  s  w   i   t   h  a   t  o  m   i  c  n  u  m   b  e  r  s   1   1   3

      a  n   d  a   b  o  v  e   h  a  v  e   b  e  e  n  r  e  p  o  r   t  e   d   b  u   t  n  o   t   f  u   l   l  y  a  u   t   h  e  n   t   i  c  a   t  e   d .

       S   t  a  n   d  a  r   d  a   t  o  m   i  c  w  e   i  g   h   t  s  a  r  e  a   b  r   i   d  g  e

       d   t  o   f  o  u  r  s   i  g  n   i   f   i  c  a  n   t   f   i  g  u  r  e  s .

       E   l  e  m  e  n   t  s  w   i   t   h  n  o  r  e  p  o  r   t  e   d  v  a   l  u  e  s   i  n

       t   h  e   t  a   b   l  e   h  a  v  e  n  o  s   t  a   b   l  e  n  u  c   l   i   d  e  s .

       T   h  e   I  n   t  e  r  n  a   t   i  o  n  a   l   U  n   i  o  n  o   f   P  u  r  e  a  n   d

       A  p  p   l   i  e   d   C   h  e  m   i  s   t  r  y   P  e  r   i  o   d   i  c   T  a   b   l  e  o   f   t   h  e   E   l  e  m  e  n   t  s   (   F  e   b  r  u  a  r  y   2   0   1   0  v  e  r  s   i  o  n   )   i  s   t   h  e

      p  r   i  n  c   i  p  a   l  s  o  u  r  c  e  o   f   d  a   t  a .   S  o  m  e   d  a   t  a  m  a  y

       h  a  v  e   b  e  e  n  m  o   d   i   f   i  e   d .