Unit Paper 2

8/3/2019 Unit Paper 2

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I 9*7CARIBBEAN EXAMINATIONS COIJNCIL CARIBBEAN EXAMINATIONS COUNCIICARTBBEANN)VANcED pncincENcy ExAMINATIoN cARTBBE.L\ ADVANCED pRoFIcIENcy EXAMINAThNSWERBOOKLET ANSWER OOKLET

r. FILL IN ALL TIIE INFORMO''O Y AND LEGIBLY.TESTCODE TLST CODE

cr TErE/-T PHYSICS UNIT 1 - PAPER 02 er rp yEr-T PHYSICS UNIT I - PAPE,r r \ , , I r . r r J \ r l J V Y J

*,O"'*''O* *UN*O RECISTRATIONUMBERM-l II PMeEnlto , r f f i i - i I iIl---Lr H-r I, l" :l - l l ; - - - - :^TE'FBIRTH=m l. l ' - '| ,r"C

MALEf| -"" \- FEMALE ]III trGNAruREl ' ,

QUESNOS. . P l Y2 P3 TOTAL0 l0203040506070809

TOTAL

SCHOOL/CENTREUMBER

NAME OF SCHOOL/CENTRE

EANDIDATE'SFULL NAME

DATE OF BIRTH

Day Month Year

BELorv Hrs LINEF-oR xil;sE oNLyFOLDERNUT!{BER

0 0 2 4 7 2 0 0 2 4 7 )

BELOW THIS LINE FOR CXC USEONLYFOLDER NUMBER


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Il*=-.-

LIST OF PHYSICAL CONSTANTS

Universalgravitational onstantAcceleration ue o gravirYRadiusof theEanftMassof theEanhMassof theMoon1AtmosPherenotumailn'sconstantDensitY f water .Thermal onduddvitYf coPperSpecific eatcapacity f aluminiumSpecific eatcaPaciry f coPPerSpecificheatcaPacirYf warcrSpecificatentheatof fusionof iceSpecificatentheatof vaporisationf waterAvogadro's umberMolar gasconstantStean-B ltzmannconstantSpeed f ligttt in vacuum

GE\h,tMMAtrnk

6.67x10uNm2kg- }9.80m s-26380 m

q

5.98x tOPng7 35x tOz g1.00 ldN m21 . 3 8 x 1 0 - 2 3 J K - t1.00 td tg m-3400W m-rK-r910J kg-t6- t387 kg-t6-t42ffi Jkg't 6-t3 . 3 4 x t d l r g - t2.26xtdl tcg-r6.02x 104 Permole8.31 K- rmol-r5.67x lO-sw m-2K-a3 . 0 x 1 0 t m s - r

NAR


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FORM TP 99220 rESrcoDE002472PILOT/ruNE1999lt*:- C A R I B B E A N E X A M I N A T I O N S C O U N C I L

ADVANCED PROFICIENCY EXAMINATIONPHYSICS

t lNIT l -Paper02

2 houn

In-?ddition o the 2 hours,candidates re alloweda reading imeof 15 minutes.Writing may beginduring the l5-minute period.

:, READ THE FOLLOWING INSTRUCTIONS CAREFULLYl.

l*rpaper onsistsfNINEquestions.

2. SectionA consists f THREEquestions.CandiduesmustanernptALLquestionsn this section.Answers or this sectionmust be written inthis answerbooklel3. SectionB consists f SD(questions.CandidatesmustattemptTHREEquestionsn thissection,ONE question rom EACH Module. Answersfor this sectionmustbe written in the answerbookletprovided.4. All workingMUST be clearly shown.

Copynght@1999CaribbeanExaminationsCouncilwz4TztcApEl99

Atl rightsrcserved'


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- 2 -SECTIONA

AttemptALL questions. ouMUST write in thisanswer ooklet.YoumustNOTspendmore han30 minuteson thissection.1. Figure 1 below showsa velocity- time graph or a rubberball thrown verticallyupwards roma tennisgundesignedo give heball an nitial speed f 14 m s-r.

Velocity/mt ,UL4t21086

. ' 4. 2

t oa

- 4- 6- 8

- 1 0_ 1 2 0.2 0.4 0.8 1. 6 1.8 2.0

Figure

Lo :

t.4.2.0


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- 3t\.---

(d')' Describea possible xperiment hat you couldperform o obtain he data or theveloc-ity - timegraphshown n Figure l.

( i )b) Describe hernorion f theball during heperiods B and BC .[ 4 marks]

[ 3 marks](ii) Esrimareheheighrowhich heball ises.

[ 2 marksl( i i i) From hegraph, ow canyou tell that heobjecr erurnedo thepointof projec-t ion?

I l m a r k ]Totil-IO marks

THE NEXT PACEt "I

002472tCAPry99 GO ON TO


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- 4t*A-ship beingused o {nap he seabed,sends ut high-frequencyoundwavesat egurar intervalss t.travelslongt" water urface. abre berlwshowshl distancef the hip romtsstartingoint nd he ime akenor he ignalobe eceivedrom he ea ed fterransmission.

( i) Assuminghat heship ravelsn a srraightineand hedeprh f thesea edat pointA is00 m, calculate th e depth at point B. -" s r' v LrvPtIr t r 'I lese a De oHence'complete heTable I above.Pu tcalculationsn thespace elow.

[ 6 marksJCompleteFigure 2 below o show he shape f theseabedover thedistanceravelledy theship' The positionof theseabe dar he starting oinr s indicated or you.0 S 0 m 0 0 m 1 5 0 m 2 0 0 m 2 S 0 m 3 0 0 mA n ( . n E r r ^

( i )

100m

[ 2 markslNEXT PACE

Table1

50m 100m t50m 200m 2S0m300mP g n e F c

oo?.47?CAptr/ooFigure2

GO ON TO TFIE


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I1'",-:t-

(iii)- 5

StateTWO ways n whicha moreprecisemapof theseabedcouldbe obtained.

[ 2 markslTotal 0 rnarks

(a) 2ffi g of solidsulphurwas eated lectrically t a uniformnte of 50 W. The emperarure- timegraph hown n Figure3 belowwasobtained.150140.' 1 3 0120110r0090807060504030 r00 200 300 400 500 600 700

Figure3Assumehat all the energy s transfened rom theheatero thesulphur.(i) What s the meltingpointof sulphur?

*.t, I markJ

GO ON TO THE NEXT PAGE

3.

TemperaturefC

Tirne/s

(vYralar AttEr(}/o


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IIt -

State WO precaudonsharyouexpcrimcnL

(ii)- 6 -

'calculatehespecificheatcapacity f solidsurphur.

(iii) calculatehespecificatent eat f fusionof sulphur.[ 3 marksl

[ 2 markslO) (i ) Stare wo sourcesf error hat ouldoccur n pcrforminghisexpcrimcnt.

(i i)[ 2 marksJ

would ake o improve heaccuracy f this

[ 2 rnarkslTotal 0 marks

GO ON TO THE NEXT PACEYl)47) /n a Dc()()


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- 7. SECTION B

YouMUST atternptTHREE questionsrom this section.Choose NE questionEACH fromMODLILE r2 , & 3. YouMUSTwrite youranswersn theanswer ooklet rovided.MODULE I

Answer ITHER uestion OReuestion .Stateheprinciplefconseryadonf inearmomenrum. [ 2 marks]show that or anobjectprojectedwith a givenvelocity,v, at an angle,q to rhehorizon-tal, the trajectory s given by theequation

y = r l a n c , - 2v2 cos2c, [ 6 marks]A rifle suscd o fire wo bullets.The irstshot satanangle f 60oabovehehorizontal nd re second t anangle f 45oabove hehorizonul.Thespeed fEACHbulletas t leaveshe ifle s 200m s-r. ForEACHbulletcalcularehehorizontalange nd heconespondingimeof flight.Oneof these ullets asamass f 30g. If themass f the iflc is 5 kg,what sthevelocirywithwhich he ifle rccoils?

[2 rnarks]' Total20mrrks

II

4. (a)o)

d(c) (i)

( i i )

CO ON TO TIIE NEXT PAGE


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t- .lt:

II ..(a)

- 85. (i) Three mportant basequantities'are mass,engthard timd. Explain he term'basequantity'andgiveanother xample f a basequantity'.

(ii) If in another ystem f units hebase uantities ndunitsarcmass,/kg,engtly'm,and orce/N,whatwouldbc tre unit of time?(iii) How wouldyouusebasequantities r units o check he homogeneity f physi-cal equatioru?StateONEway n which anequation hat s hornogeneousay,nevertheless,ephysically nconecl [ 7 marksJIn anexperiment,heviscosity,Tl,of a iquid is determinedn termsof the'volume,v,passing ersecondhrougha capillaryurbeof radius, , and ength, , undera prcssuredifference, , wherc

(b)

no(n = f f i(i )

(i )

Assuminghegivenequationobehomogeneous,trow hat heSI unitof q isN sm-2.If r is0.75mm,measuredo aprecisionof10.02mm andp, I andv aremeasuredo anuncertaintyf *2.Oqo, l.SVoand 1.0% respectively,estimatehe uncertaintyo whichI canbe detennined.The viscosityof oil as determined y this merhods 0.010N s m-2.What s theactualuncertainryn the neasurement?IdentifyONEcase f random rrorandonecase f systematicrror nthe measurementsf thephysicalquantitiesequiredo determineTl.Saywhatyou woulddo to reducehese rors. [13 marksJ

Total 20marks

(i i )(iv)


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It - 9 -MODI.]LE 2

6.AnsrrerEITHER Question5 OR Question7.

(a) Figure 4 belowshowsheoverhead iewof aripple ank n which wo dippem,X andY,vibratcat5 Hz. Corls arcplacedatP andQ. The arcs presnth crests f thewavesand he distance tomY to P s 15 cm.

(i )(ii)

Figure 4Describe ow he displacementsf P andQ varywith time.Calculatehe speed f thewaves.

(b)t 5 marksl

Describean experimento demorutrathediffractionof planewater waves n a rippletank or a niurowgap. Draw adiagramof whatyou wouldexpect o sewhen ookingdownat the surface f ttre ipple ank [ 3 marksl(c) Figure 5 belowshows heorientation f aplanewave,AB, in theseawith respecto theseashore.

SeashoreFigure5

Thiswayeeyentuallypproacheshesea horc arallelo t.* *-r

Explainwhy this occun.' t 4marksJTO T}IE NEXTPACE

tionrtionol

IDirecof mcI,B

A

GO ON


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(e)

(i )

, _ 1 0 _t *:;

(d) Waterwavesof frequency,, amplitude,A, and ravellingwith velocity,v, are ransmit-ted hroughwaterof density,p. By coruidering achmolecule f thewater o bc under-goingsimplehannonicmotion, write downexpressionsor displacement ndvelocityof the watermoleculeswith time. Hen@,deduce nexpressionor thepowerdue o thewaterwavesn termsof f, p, A andv for a cmsssection f arca m2. [ 5 markslFigure 6 a andFigure 6 b below show,at an nstantof time, heshape f thesurface fthewater n arippleunk in which(i) aprogressiveaveand ii) a stationary aveexistrespectively.CopyFigures6 a and 6 b in youranswer ooklef

Figure 6 a

Figure6 bDirectlybelowEACHfigure n youranswer ooklet,drawon hedouedine,thestateofthewatersurface nequarterof a period ater. [ 3 marksl

Total20 marks

(i i)

GO ON TO TI{E NEXT PACE


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7.- 1 1

It--:-(a) Explain the phenorirenanvolved n the formationof a diffractionpatternby a planediftaction grating. . t 2 markslO) Describe,with theaidof a diagrarn, n experimento me:uurehe wavelength f yellowlight fr,orn straight ilamentbulb, usingadiffractiongratinghavingN linespermehe.

[ 6 marksl(c) White light of wavelength 00 nm - 700 nm is incidenton a planediftaction gratingruled5ffi linespermm.

(i) Find the angularbreadthof the fint-order spectmm. Showyour resulton alabelleddiagram.(ii) Show hat tresecond-orderpectrum f thewhite ightoverlapswirhthe hird-orderspectnrm.

[12marksJTotal20 marks

MODI.JLE3

8. (a)

o)

' Ansver EITHER Question OR Question .Discusslp nanrre f theprocessesy which a hotbodymay oseheat o thesunound-ings. [ 3 rnarks]A schematic iagnrnof a simplesolarwaterheaters shown n Figure ? belowandacross ection f ttrecollectors shownn Figure8 onpage12.

Hot-wateroutlet

Sunshine

$ Storage ankCold-water nlet

'*'r

ON TO THE NEXT

5'

w247aCAPEB9

Figure7

GO PACE


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- 1 2 -IL*:

i

(a)

(c)

InsulationCopper tube

Figure8(i) Explainwhy a sheet f glasssusedon thecollecror.

(ii) Themaincomponentn thecollectors theblackenedopper heeLExplaintsfunction.(iii) Explainwhy a b*tp is not requiredo circulatehe water n thesroragemnk.

[ 5 marksJThe Thble2 belowshows he radiationper unit area rom the surface f a rnetalatvariousemperarures.

Thble2

Assuming that P = 6an whereA and n areconstants, lot a graph o determineA and n.' Il2 rnarksJTotal20 marks

Writedownanexpressionor thepressuref an dealgas n termsof themean quarespeed f its molecules.StateFOURassumptionshatare equiredn thederivation fthisexpression. t SmarksJWritedownanother xprusion for the pressure f a fixedmass f an dealgas n termsof itsvolumeandabsoluteemperature.how hat heexpressionsconsistent ith thatin part(a),providedhata certainassumptions made.Statehis assumption.

[ 3 marksJ(c) A vessel, f volume500cil3, contains ydrogenatapressuref 1.0paanda tempera-tureof 27oC.Estimatehe

9.

o)

(i) number f moleculesn thevessel(ii) me:n squarc peedof themolecules(iii) total translarional ineticenergyof themolecules(iv) averageranslationalineticenergy f a molecule.[Molarmass f hydnogen 2,0 x t0-3 g;

ll2 marksJTotal20marks

Unit Paper 2

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