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
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NAME OF SCHOOL/CENTRE
EANDIDATE'SFULL NAME
DATE OF BIRTH
Day Month Year
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0 0 2 4 7 2 0 0 2 4 7 )
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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
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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
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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
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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
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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
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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 )
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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
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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)
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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
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5'
w247aCAPEB9
Figure7
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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