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CARIBBEAN EXAMINATIONS COUNCII
CARIBBEAN EXAMINATIONS COIJNCIL CARTBBEAN N)VANcED pncincENcy
cARTBBE.L\ ADVANCED pRoFIcIENcy
ExAMINATIoN
hNSWERBOOKLET
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PHYSICS UNIT 1 - PAPER 02
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LIST OF PHYSICAL CONSTANTS Universalgravitationalconstant
G
6.67x10uNm2kg-}
Accelerationdueto gravirY
E
9.80m s-2
Radiusof the Eanft
\
q
Massof the Eanh Massof the Moon 1 AtmosPhere notumailn's constant DensitYof water
6380km
h,t
tg 5.98x tOPn
MM
7.35x tOz fg
Atrn
1.00x ldN m2
k
1.38x10-23JK-t 1.00x td tg m-3
.
400 W m-r K-r
of coPper ThermalconduddvitY
910J kg-t6-t
Specificheatcapacityof aluminium
387I kg-t 6-t
SpecificheatcaPaciryof coPPer
42ffi J kg't 6-t
of warcr SpecificheatcaPacirY Specificlatentheatof fusionof ice
3.34xtdlrg-t
of water Specificlatentheatof vaporisation
2.26xtdltcg-r
Avogadro'snumber
NA
6.02x 104 Permole
Molar gasconstant
R
8.31J K-r mol-r
Stefan-Boltzmannconstant Speedof ligttt in vacuum
5.67x lO-sw m-2K-a 3.0x10tms-r
rESrcoDE002472
FORM TP 99220
PILOT/ruNE1999
lt*:-
CARIBBEAN EXAMINATIONS COUNCIL ADVANCED PROFICIENCY EXAMINATION
PHYSICS tlNITl-Paper02
2 houn
In-?ddition to the 2 hours, candidatesare alloweda reading time of 15 minutes. Writing may beginduring the l5-minute period.
,:
READ THE FOLLOWING
INSTRUCTIONS CAREFULLY
paperconsistsof NINE questions.
l. l*r 2.
SectionA consistsof THREE questions.CandiduesmustanernptALL questionsin this section.Answersfor this sectionmust be written in this answerbooklel
3.
SectionB consistsof SD( questions.CandidatesmustattemptTHREE questionsin this section,ONE questionfrom EACH Module. Answers for this sectionmust be written in the answerbooklet provided.
4.
All working MUST be clearly shown.
wz4TztcApEl99
Copynght @ 1999CaribbeanExaminationsCouncil Atl rights rcserved'
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SECTIONA AttemptALL questions.YouMUST write in thisanswerbooklet.YoumustNOT spendmorethan 30 minuteson this section. 1.
Figure 1 below showsa velocity - time graph for a rubber ball thrown vertically upwardsfrom a tennisgun designedto give the ball an initial speedof 14 m s-r.
Velocity/mtt ,U L4 t2 10 8 6 .
'
4 .
t
2 o a
-4 -6 -8 -10 _12
0.2 0.4
0.8 1.0 t.2 t.4 1.6 1.8 2.0
Figure I
- 3 t
\.--(d')'
Describea possibleexperimentthat you could perform to obtain the datafor the velocity - time graphshownin Figure l.
[ 4 marks] (b)
(i)
Describethe rnorionof the ball during rhe periods AB and BC.
[ 3 marks]
(ii)
Esrimare theheighrro whichtheballrises.
[ 2 marksl (iii)
From the graph,how can you tell thatthe objecr rerurnedto the point of projection?
I lmark]
002472tCAPry99
Totil-IO marks GO ON TO THE NEXT PACE t"
I
- 4 t*A-ship beingusedto {napthe seabed, sendsout high-frequency soundwavesat regurar I intervals asit.travels alongit" watersurface.Tabre1 berlw shows thl distance of theshipfrom itsstarting pointandthetimetakenforthe signalto bereceived fromtheseabedaftertransmission. Table1
(i)
Assumingthattheshiptravelsin a srraightline 100 m, calculate the depth at point B.
andthe -"s r'v LrvPtIr deprhut of the r'Ilesea sea bed Deo at
pointA is
Hence'completethe Table I above. Put calculationsin the spacebelow.
( ii )
[ 6 marksJ Complete Figure 2 below to show the shapeof the seabed over the distancetravelled by the ship' The positionof the seabedar ihe startingpoinr is indicated for you. 0 S00m 5 m1 l 0000m m t15500mm22000m 0m 2 S 0 m 3 0 0 m 2 S 0m 3 0 0 m A
n
P
(
g.
n
n E er
r
F^ c
100m
Figure2 oo?.47?tCAptr/oo
[ 2 marksl GO ON TO TFIE NEXT PACE
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(iii)
StateTWO waysin which a moreprecisemapof theseabedcouldbe obtained.
[ 2 marksl Totall0 rnarks
3.
(a)
2ffi g of solidsulphurwasheatedelectricallyat a uniformnte of 50 W. Thetemperarure - time graphshownin Figure 3 belowwasobtained.
150 TemperaturefC 140 .'1 3 0 120 110
r00 90 80 70 60 50 40 30
r00
200
300
400
500
600
700
Tirne/s
Figure 3 Assumethat all the energyis transfenedfrom the heatero the sulphur. (i)
What is the melting point of sulphur?
*.t, I markJ
(vYralar
AttEr(}/o
GO ON TO THE NEXT PAGE
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(ii)
' calculatethespecificheatcapacityof solidsurphur.
[ 3 marksl (iii)
calculatethespecificlatentheatof fusionof sulphur.
[ 2 marksl O)
(i)
StareTwo sourcesof errorrhatcouldoccurin pcrforming rhisexpcrimcnt.
[ 2 marksJ (ii)
StateTWO precaudons tharyou would taketo improvethe accuracyof this expcrimcnL
[ 2 rnarksl Total l0 marks
rYl)47)
/n a Dc()()
GO ON TO THE NEXT PACE
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SECTION B
You MUST atternptTHREE questionsfrom this section. ChooseoNE questionEACH from MODLILE lr2, & 3. YouMUST write your answersin the answer bookletprovided. MODULE I
AnswerEITHEReuestion4 OR euestion5. 4.
(a)
Statetheprinciple of conseryadon of linearmomenrum.
o)
show that for an objectprojectedwith a given velocity,v, at an angle,q to rhe horizontal, the trajectoryis given by the equation y=rlanc,-
(c)
[ 2 marks]
d 2v2 cos 2 c,
[ 6 marks]
(i)
A rifle is uscdto fire two bullets.The firstshotis at an angle of 60oabovethe horizontalandtre secondat anangleof 45oaboverhehorizonul. Thespeedof EACH bulletasit leavestherifle is 200m s-r. For EACH bulletcalculare rhe horizontalrangeandtheconesponding rimeof flight.
(ii)
Oneof thesebulletshasa massof 30 g. If themassof theriflc is 5 kg, whatis thevelocirywith whichrherifle rccoils? [2 rnarks] '
Total20 mrrks
CO ON TO TIIE NEXT PAGE
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5.
(a)
(b)
(i)
Threeimportant'basequantities'aremass,tengthard timd. Explain the term 'basequantity' andgive anotherexampleof a 'basequantity'.
(ii)
If in anothersystemof unitsthebasequantitiesandunitsarcmass,/kg, lengtly'm, and force/N,what would bc tre unit of time?
(iii)
How would youusebasequantitiesor unitsto checkthe homogeneityof physical equatioru?StateONE way in which anequationthat is hornogeneous may, nevertheless, be physicallyinconecl [ 7 marksJ
In an experiment,the viscosity,Tl, of a liquid is determinedin termsof the'volume,v, passingper secondthrougha capillary urbeof radius,r, andlength,l, undera prcssure difference,p, wherc
n = fno( fi (i)
Assumingthegivenequationto be homogeneous, strowthattheSI unit of q is N s m-2.
(ii)
If r is 0.75mm, measured to a precisionof10.02mm andp, I andv are measuredto anuncertaintyof *2.Oqo,tl.SVoand*1.0% respectively, estimatethe uncertaintyto which I can be detennined.
(iii)
The viscosityof oil as determinedby this merhodis 0.010N s m-2. What is the actualuncertainryin the lneasurement?
(iv)
IdentifyONE caseof randomerror andonecaseof systematic errorin the measurements of the physicalquantitiesrequiredto determineTl. Saywhatyou woulddo to reducetheseerors. [13 marksJ Total 20 marks
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MODI.]LE 2 Ansrrer EITHER Question5 OR Question7.
6.
(a)
Figure 4 belowshowstheoverheadview of a rippletankin which two dippem,X andY, vibratc at 5 Hz. Corls arcplacedat P andQ. The arcsr€pres€ntth€ crestsof the waves and the distanceftom Y to P is 15 cm.
Figure 4 (i)
of P andQ vary with time. Describehow the displacements
(ii)
Calculatethe speedof the waves. t 5 marksl
(b)
Describean experiment!o demorutrat€the diffractionof planewaterwavesin a ripple tank for a niurow gap. Draw a diagramof what you would expectto s€ewhenlooking down at the surfaceof ttreripple tank [ 3 marksl
(c)
Figure 5 belowshowstheorientationof a planewave,AB, in theseawith respectto the seashore. Direc tion of mc molrtion
A
I
I
, BI
Sea shore
Figure5
* *-r
approaches Thiswayeeyentually theseashorcparallel!o it. Explainwhy this occun.
'
t 4 marksJ
GO ON TO T}IE NEXTPACE
_10_
,
t*: ;
(d)
Waterwavesof frequency,f, amplitude,A, andtravellingwith velocity,v, aretransmitted throughwaterof density,p. By coruideringeachmoleculeof the waterto bc undergoing simplehannonicmotion, write down expressions for displacementand velocity of the watermoleculeswith time. Hen@,deduceanexpressionfor the powerdueto the waterwavesin termsof f, p, A and v for a cmsssectionof arcaI m2. [ 5 marksl
(e)
Figure 6 a andFigure 6 b below show,at aninstantof time,the shapeof the surfaceof waveand(ii) a stationarywaveexist thewaterin a rippleunk in which (i) a progressive respectively.CopyFigures 6 a and 6 b in your answerbooklef
(i)
Figure 6 a
(ii)
Figure 6 b Directly belowEACH figurein your answerbooklet,drawon thedouedline, thestateof the watersurfaceonequarterof a periodlater. [ 3 marksl Total 20 marks
GO ON TO TI{E NEXT PACE
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7.
(a)
Explain the phenorirena involved in the formationof a diffraction patternby a plane grating. diftaction t 2 marksl
.
O)
Describe,with theaid of a diagrarn,an experimentto me:uurethe wavelengthof yellow light fr,orna straightfilamentbulb, usinga diffractiongratinghavingN lines per mehe. [ 6 marksl
(c)
White light of wavelength400 nm - 700 nm is incidenton a planediftaction grating ruled 5ffi linespermm. (i)
Find the angularbreadthof the fint-order spectmm. Show your resulton a labelleddiagram.
(ii)
Showthatttresecond-order spectrumof thewhitelight overlapswirh thethirdorderspectnrm. [12 marksJ Total 20 marks
MODI.JLE3 ' 8.
Ansver EITHER Question8 OR Question9.
(a)
Discusstlp nanrreof the processes by which a hot bodymay loseheatto the sunoundings. [ 3 rnarks]
o)
A schematicdiagnrnof a simplesolarwaterheateris shownin Figure ? belowanda crosssectionof ttrecollectoris shownin Figure 8 on page12.
Hot-water outlet
Sunshine
$ 5'
Storagetank
Cold-waterinlet
'*'r
Figure7
w247aCAPEB9
GO ON TO THE NEXT PACE
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Insulation Copper tube
Figure8 (i)
Explainwhy a sheetof glassis usedon the collecror.
(ii)
Themaincomponentin thecollectoris theblackened coppersheeL.Explainits function.
(iii)
Explainwhy a b*tp is not requiredlo circulatethe waterin the srorage mnk. [ 5 marksJ
(c)
The Thble 2 below showsthe radiationper unit areafrom the surfaceof a rnetalat varioustemperarures. Thble2
Assuming that P = 6an where A and n are constants,plot a graph to determine A and n.
'
Il2 rnarksJ
Total 20 marks 9.
(a)
Write down an expressionfor the pressureof an idealgasin termsof the mean square speedof its molecules.StateFOUR assumptions rhatarerequiredin the derivationof thisexpression. t SmarksJ
o)
Write down anotherexprusion for the pressureof a fixed massof an idealgasin terms of its volumeandabsolutetemperature. Showthattheexpression is consistent with that in part (a),providedthat a certainassumption is made. Statethis assumption. [ 3 marksJ
(c)
A vessel,of volume500 cil3, containshydrogenat a pressure of 1.0pa anda temperatureof 27oC. Estimatethe (i) (ii)
numberof moleculesin thevessel me:n squarcspeedof the molecules
(iii) (iv)
total translarionalkinetic energyof the molecules averagetranslational kineticenergyof a molecule.
= 2,0 x t0-3kg; [Molar massof hydnogen
END OF TEST nn'rA1) lf A DFrOO
ll2 marksJ Total20marks