phss gher eve paper - ib documents past papers...forces on the train are the engine force and a...

M16/4/PHYSI/HPM/ENG/TZ0/XX

© International Baccalaureate Organization 201623 pages

PhysicsHigher levelPaper 1

1 hour

Friday 6 May 2016 (morning)

Instructions to candidates

• Do not open this examination paper until instructed to do so.• Answer all the questions.• For each question, choose the answer you consider to be the best and indicate your choice on

the answer sheet provided.yy A clean copy of the physics data booklet is required for this paper.

• The maximum mark for this examination paper is [40 marks].

2216 – 6501

– 2 –

1. Aspherefitsinsideacube.

Thelengthofthecubeandthediameterofthesphereare10.0±0.2cm.

Whatistheratio percentage uncertaintypercentage uncer

of the volume of the spherettainty cubeof the volume of the

?

A. π

34

B. 1

C. 2

D. 8

M 16/4/PHYSI/HPM/ENG/TZ0/XX

– 3 –

Turn over

2. Anaircraftismovinghorizontally.Aparachutistleavestheaircraftandafewsecondslateropensherparachute.Whichgraphshowsthevariationoftheverticalspeedvwithtimetfortheparachutistfromthetimesheleavestheaircraftuntiljustbeforelanding?

A.v

t00

B.v

t00

C.v

t00

D.v

t00

3. Anobjectofmassmrestsonahorizontalplane.Theangleθ thattheplanemakeswiththehorizontalisslowlyincreasedfromzero.Whenθ = θ0,theobjectbeginstoslide.WhatarethecoefficientofstaticfrictionμsandthenormalreactionforceNoftheplaneatθ = θ0?

μs N

A. sinθ0 mgcosθ0

B. tanθ0 mgsinθ0

C. sinθ0 mgsinθ0

D. tanθ0 mgcosθ0


– 4 –

4. Aballwithmassmmoveshorizontallywithspeedu.Theballhitsaverticalwallandreboundsintheoppositedirectionwithspeedv < u.ThedurationofthecollisionisT.Whatarethemagnitudeoftheaverageforceexertedbythewallontheballandthelossofkineticenergyoftheball?

Average force Loss of kinetic energy

A.m u v

T( )+ m u v( )2 2

2−

B.m u v

T( )+ m u v( )− 2

2

C.m u v

T( )− m u v( )2 2

2−

D.m u v

T( )− m u v( )− 2

2

5. Atrainonastraighthorizontaltrackmovesfromrestatconstantacceleration.Thehorizontalforcesonthetrainaretheengineforceandaresistiveforcewhichincreaseswithspeed. WhichgraphrepresentsthevariationwithtimetofthepowerPdevelopedbytheengine?

A.P

t00

B.P

t00

C.P

t00

D.P

t00


– 5 –

Turn over

6. Thegraphshowshowtheaccelerationaofanobjectvarieswithdistancetravelledx.

a/ms–2

30

25

20

15

10

5

00 5 10 15 20 25 30 x/m

Themassoftheobjectis3.0kg.Whatisthetotalworkdoneontheobject?

A. 300J

B. 400J

C. 1200J

D. 1500J


–6–

7. Acontainerwith0.60kgofaliquidsubstanceisplacedonaheaterattimet = 0.Thespecificlatentheatofvaporizationofthesubstanceis200kJkg–1.ThegraphshowsthevariationofthetemperatureTofthesubstancewithtimet.

T

t / s0

0 10 20 30 40 50 60

Whatisthepoweroftheheater?

A. 1200W

B. 3000W

C. 4800W

D. 13300W

8. Underwhatconditionsofdensityandpressureisarealgasbestdescribedbytheequationofstateforanidealgas?

A. Lowdensityandlowpressure

B. Lowdensityandhighpressure

C. Highdensityandlowpressure

D. Highdensityandhighpressure


– 7 –

Turn over

9. HorizontallypolarizedlightofintensityI0entersapolarizerPwhosepolarizationaxismakesanangleofθdegreeswiththehorizontal.LightfromPisthenincidentonapolarizerAwithfixedverticalpolarizationaxis.

θ

polarizer A

polarizer P

horizontally polarized light intensity I0

transmitted light intensity I

Theangleθisvariedfrom0to90degrees.Whichofthefollowingrepresentsthevariationwithθ oftheintensityIofthelighttransmittedthroughA?

A.II0

0.50.40.30.20.10.0

B.II0

0.50.40.30.20.10.0

0 45 90 0 45 90θ / ° θ / °

C.II0

0.50.40.30.20.10.0

D.II0

0.50.40.30.20.10.0

0 45 90 0 45 90θ / ° θ / °


–8–

10. ApipeoflengthLhastwoopenends.AnotherpipeoflengthL′hasoneopenendandoneclosedend.

Thefrequencyofthefirstharmonicofbothpipesisthesame.Whatis′L

L?

A. 2

B. 32

C. 1

D. 12

11. Alightraypassesfromairtowaterasshown.

airwater

lightray

Whatarethechangeinthewavelengthofthelightwaveandthechangeintheangletheraymakeswiththenormaltothesurface?

Wavelength Angle with normal

A. increases increases

B. increases decreases

C. decreases increases

D. decreases decreases


–9–

Turn over

12. Acircuitconsistsofacellofelectromotiveforce(emf)6.0Vandnegligibleinternalresistanceconnectedtotworesistorsof4.0Ω.

A

6.0 V

4.0 Ω4.0 Ω V

Theammeterhasresistanceequalto1.0Ωandthevoltmeterisideal.Whatarethereadingsoftheammeterandthevoltmeter?

Ammeter Voltmeter

A. 2.0A 3.0V

B. 3.0A 3.0V

C. 2.0A 4.0V

D. 3.0A 4.0V


–10–

13. AwirecarryingacurrentIisplacedinaregionofuniformmagneticfieldB,asshowninthediagram.

B

I

L

ThedirectionofthefieldBisoutofthepageandthelengthofthewireisL.Whatiscorrectaboutthedirectionandmagnitudeoftheforceactingonthewire?

Direction Magnitude

A. equaltoBIL

B. smallerthanBIL

C. equaltoBIL

D. smallerthanBIL


–11–

Turn over

14. Amassconnectedtooneendofarigidrodrotatesatconstantspeedinaverticalplaneabouttheotherendoftherod.

rod

mass

Theforceexertedbytherodonthemassis

A. zeroeverywhere.

B. constantinmagnitude.

C. alwaysdirectedtowardsthecentre.

D. aminimumatthetopofthecircularpath.

15. Asimplemodelofanatomhasfiveenergylevels.Whatisthemaximumnumberofdifferentfrequenciesintheemissionspectrumofthatatom?

A. 4

B. 6

C. 10

D. 25

16. Whichofthefollowingliststhreefundamentalforcesinincreasingorderofstrength?

A. electromagnetic,gravity,strongnuclear

B. weaknuclear,gravity,strongnuclear

C. gravity,weaknuclear,electromagnetic

D. electromagnetic,strongnuclear,gravity


–12–

17. Patternsingraphshelpscientistsmakepredictions.Whatcanbededucedfromagraphofneutronnumberversusprotonnumberforallstablenuclides?

A. Theshort-rangenatureofthestrongnuclearforce

B. Theincreaseofthebindingenergypernucleonwithprotonnumber

C. Theexistenceofquarksandleptons

D. Theexistenceofalphadecay

18. Asolarpanelhassurfacearea0.40m2andefficiency50%.Theaverageintensityofradiationreachingthesurfaceofthepanelis0.25kWm–2.Whatistheaveragepoweroutputfromanarrayof10ofthesesolarpanels?

A. 0.5W

B. 5W

C. 50W

D. 500W

19. Whatisthecorrectorderofenergytransformationsinacoalpowerstation?

A. thermal → chemical → kinetic → electrical

B. chemical → thermal → kinetic → electrical

C. chemical → kinetic → thermal → electrical

D. kinetic → chemical → electrical → thermal

20. Ablackbodyofsurface1.0m2emitselectromagneticradiationofpeakwavelength2.90×10–6m.Whichofthefollowingstatementsaboutthebodyarecorrect?

I. Thetemperatureofthebodyis1000K.

II. Theenergyradiatedbythebodyinonesecondis5.7×104J.

III. Thebodyisaperfectabsorberofelectromagneticradiation.

A. IandIIonly

B. IandIIIonly

C. IIandIIIonly

D. I,IIandIII


–13–

Turn over

21. Amassisconnectedtoaspringonafrictionlesshorizontalsurfaceasshown.

springmass

surface

Thespringisextendedbeyonditsequilibriumlengthandthemassexecutessimpleharmonicmotion(SHM).Whichofthefollowingisindependentoftheinitialdisplacementofthespring?

A. Theangularfrequencyoftheoscillation

B. Thetotalenergyofthemass

C. Theaveragespeedofthemass

D. Themaximumkineticenergyofthemass

22. Asingle-slitdiffractionexperimentisperformedusinglightofdifferentcolours.Thewidthofthecentralpeakinthediffractionpatternismeasuredforeachcolour.Whatistheorderofthecoloursthatcorrespondstoincreasingwidthsofthecentralpeak?

A. red,green,blue

B. red,blue,green

C. blue,green,red

D. green,blue,red


–14–

23. Inadouble-slitinterferenceexperiment,thefollowingintensitypatternisobservedforlightofwavelengthλ.

intensity of light / arbitrary units

diffraction angle / rad0.02 0.04 0.06–0.02–0.04–0.06

0.2

0.4

0.6

0.8

1.0

0

Thedistancebetweentheslitsisd.Whatcanbededucedaboutthevalueoftheratio λdandthe

effectofsingle-slitdiffractioninthisexperiment?

λλd

Single-slit diffraction

A. 100 non-negligible

B. 0.01 non-negligible

C. 100 negligible

D. 0.01 negligible


–15–

Turn over

24. AsimplependulumhasmassMandlengthl.TheperiodofoscillationofthependulumisT.Whatistheperiodofoscillationofapendulumwithmass4Mandlength0.25l?

A. 0.5T

B. T

C. 2T

D. 4T

25. Atrainmovesatconstantspeedwhilstemittingasoundwaveoffrequencyf0.At t = t0thetrainpassesthroughastation.Whichgraphshowsthevariationwithtimetofthefrequencyfofthesoundwaveasmeasuredbyanobserverstandingonthestationplatform?

A.

t

f

f0

t0

B.

t

f

f0

t0

C.

t

f

f0

t0

D.

t

f

f0

t0


–16–

26. Anegativechargemovesinanelectricfield.Equipotentiallinesforthefieldandfourpossiblepathsofthechargeareshown.Whichpathcorrespondstothelargestworkdoneonthechargebythefield?

A.

C.

D.

V = 10 V

V = 20 V

V = 30 V

B.

27. Inanexperiment,oildropletsofmassmandchargeqaredroppedintotheregionbetweentwohorizontalparallelplates.TheelectricfieldEbetweentheplatescanbeadjusted.Airresistanceisnegligible.Whichiscorrectwhenthedropletsfallverticallyatconstantvelocity?

A. E = 0

B. E < mgq

C. E = mgq

D. E > mgq


–17–

Turn over

28. Asatelliteorbitsaplanet.WhichgraphshowshowthekineticenergyEK,thepotentialenergyEP andthetotalenergyEofthesatellitevarywithdistancexfromthecentreoftheplanet?

A.

00

energy

EP

EEK

x

B.

x00

energy

EK

EP

E

C.

00

energy

E

EP

EK

x

D.

x00

energy

EEP

EK


–18–

29. AcoilofareaA isplacedinaregionofuniformhorizontalmagneticfieldB.Att = 0,thecoilstartstorotatewithconstantangularspeedωaboutahorizontalaxis.

X

Y

B

axis

WhatistheemfbetweenXandY?

A. zero

B. ωABsinωt

C. ABcosωt

D. − ωABsinωt


–19–

Turn over

30. ThediagramshowsaconductingrodoflengthLbeingmovedinaregionofuniformmagnetic fieldB.Thefieldisdirectedatrightanglestotheplaneofthepaper.Therodslidesonconductingrailsataconstantspeedv.AresistorofresistanceRconnectstherails.

Rv

B

L

rodrail

Whatisthepowerrequiredtomovetherod?

A. zero

B. vBR

L

C. v BR

2 2 2L

D. v BR

2 2 2

2

L

31. Analternatingcurrent(ac)powersupplygeneratesanemfwithpeakamplitudeV0anddeliversanaveragepowerP .Whatistherootmeansquare(rms)currentdeliveredbythesupply?

A.PV2 0

B.PV2 0

C. 2

0

PV

D.2

0

PV


–20–

32. Afull-wavedioderectificationcircuitismodifiedwiththeadditionofacapacitorinparallelwiththeloadresistor.Thecircuitisusedtorectifyasinusoidalsignalofperiod6.3ms.WhichgraphshowshowthepotentialdifferenceVacrosstheloadvarieswithtime?

A. B.V

2 4 6 8 10 120

0

V

2 4 6 8 10 120

0t/ms t/ms

C. D.V

2 4 6 8 10 120

0

V

00 2 4 6 8 10 12

t/ms t/ms

33. Aparallel-platecapacitorisconnectedtoacellofconstantemf.Thecapacitorplatesarethenmovedfurtherapartwithoutdisconnectingthecell.Whatarethechangesinthemagnitudeoftheelectricfieldbetweentheplatesandinthecapacitanceofthecapacitor?

Magnitude of the electric field Capacitance

A. increases increases

B. increases decreases

C. decreases increases

D. decreases decreases


–21–

Turn over

34. Threeidenticalcapacitors,eachofcapacitanceC,areconnectedasshown.

C C

C

Whatisthetotalcapacitanceofthecombination?

A. 23

C

B. C

C. 32

C

D. 3C

35. Whichofthefollowingexperimentsprovidesevidencefortheexistenceofmatterwaves?

A. Scatteringofalphaparticles

B. Electrondiffraction

C. Gammadecay

D. Photoelectriceffect


– 22 –

36. ThegraphsshowthevariationwithdistancexofthesquareoftheamplitudeΨ2ofthewavefunctionofaparticle.Whichgraphcorrespondstoaparticlewiththelargestuncertaintyinmomentum?

A. B.

Ψ2 Ψ2

0.0 0.5 1.0 1.5 2.0 2.5 3.0 0.0 0.5 1.0 1.5 2.0 2.5 3.0x/arbitraryunits x/arbitraryunits

C. D.Ψ2 Ψ2

0.0 0.5 1.0 1.5 2.0 2.5 3.0 0.0 0.5 1.0 1.5 2.0 2.5 3.0x/arbitraryunits x/arbitraryunits

37. DeviationsfromRutherfordscatteringaredetectedinexperimentscarriedoutathighenergies.Whatcanbededucedfromthesedeviations?

A. Theimpactparameterofthecollision

B. Theexistenceofaforcedifferentfromelectrostaticrepulsion

C. Thesizeofalphaparticles

D. Theelectricfieldinsidethenucleus


– 23 –

38. Differentmetalsurfacesareinvestigatedinanexperimentonthephotoelectriceffect.Agraphofthevariationofthemaximumkineticenergyofphotoelectronswiththefrequencyoftheincidentlightisdrawnforeachmetal.Whichstatementiscorrect?

A. Allgraphshavethesameinterceptonthefrequencyaxis.

B. Theworkfunctionisthesameforallsurfaces.

C. Allgraphshavethesameslope.

D. Thethresholdfrequencyisthesameforallsurfaces.

39. Apuresampleofmassmofaradioactivesubstancewithhalf-lifeT12

hasaninitialactivityA0.

Whatarethehalf-lifeandtheinitialactivityofapuresampleofmass2m ofthesameradioactivesubstance?

Half-life Initial activity

A. T12

A0

B. T12

2A0

C. 2 12

T A0

D. 2 12

T 2A0

40. Nucleardensity

A. isconstantbecausethevolumeofanucleusisproportionaltoitsnucleonnumber.

B. isconstantbecausethevolumeofanucleusisproportionaltoitsprotonnumber.

C. dependsonthenucleonnumberofthenucleus.

D. dependsontheprotonnumberofthenucleus.


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