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/1fu-t-'*J CARIBBEAN EXAMINATIONS COUNCIL

CARIBBEAN EXAMINATIONS COUNCIL

CARIBBEAN ADVANCED PROFICIENCY EXAMINATION

CARIB B EAN ADVAN CED P R,OT'ICIENCY EXAMINATION

i.ANgwERBOOKLET

ANSWERBOOKLET

FILL IN ALL THE INFORMATION REQUF^STEDCLEARLY AND LEGIBLY

TESTCODE SUBJECT

0

0

PHYSICS UNIT I

2

4

APER OI

REGISTRATION NUMBER

QUES NOS.

1aL PI

uF

n

7

I

TEST CODE SUBJECT

0

0

2

4

7

I

PrlYsrcs UNIT I _ PAPER0l

RECISTRATION NUMB

t's

P3 TOTAL

0t

SCHOOLrcENTRE NUMBER

02 03

NAME OF SCHOOUCENTRE

04 05 CANDIDATE'S

06

FULL NAME

07 DATE OF BIRTH

OE 09

Day

Month

Year

l0 ll

12

,OC

MALE FEIVIALE

TOTAL SICNATURE

BELOW THIS LINE FOR CXC USEOr.{LY

BELOW THIS LINE FOR CXUI'SE ONLY FOLDERNUMBER


'**:l

LIST OT PHYSICAL CONSTANTS

Universalgravitationalconstant

G

6.67x10rrNm2k12

Accelerationdueto gravity

g

9.80m s2

\

6380km

te

5.98x l0u kg

Massof the Moon

MM

7.35x t02 kg

I Aunosphere

Atm

1 . 0 0 xl d N m - 2

Bolumann'sconstant

k

1.3gx1023JK-r

Radiu of the Eanh Massof the Earttl

Densityof water

,

1.00x 103kg p-r

,

Thermalconductivityof copper

400 W m-r K-r

Specificheatcapacityof aluminium

910J kg-t6-t

Specificheatcapacityof copper

387I kg-t 6-t

Specificheatcapacityof water

42ffi J kg-t 6-t

Specificlatentheatof fusionof ice

3.34x td I rg-t

Specificlatentheatof vaporisationof water

2.26xlffJkg't

Avogadro'snumber

N^

6.02x 103 per mole

Molar gasconstant

R

8.31J K-r mol-r

Stefan-Boltzmannconstant

o

5.67 x 10-rW m-2K-a

Speedof light in vacuum

c

3.0xlOtms-r


rEsrcoDE002471 prlor/ruNELsss

FORM TP 99219 ,

CARIBBEAN EXAMINATIONS COUNCIL AD VANCEDPROFI.TEXCY EXAMINATION

PIrySICS UNITI-Paper0l

2 houn

In addition to the 2 hours, candidates are allowed a reading time

ms

m-ffi[ies-writing may beginduring the lS-minuteperiod.

rNsr+ucTroNs CAREFULLY \EAp rHE FOLLOWTNG 1.

This paper consistsof TWELVE questions.Candidar,esmust attempt ,ALL questions. CandidarcsMUST write in ftis ilnswerbooklet and all working MUST be clearly shown.

__-i

uop All rightsrcscrrcd. ffn47UCAPE/99

.


- 2 I

L.: l.

A ball of weight 0.4 N, with a suing tied to ir, is suspendedfrom a point B. -The ball is pu1ed asideby a horizontalforce,F, asshownin Figure I bclow, so that the string malcesan angie0 with the venical.

Figure I The ball remainsat restin ttrisposition. (i)

By taking mornentsaboutB, or otherwise,calculatethe magnitudeof the force,F.

[3 marksl (ii)

A tensionforce,T, in thc string,actson theball. Showthis forceon Figure I aboveand explainwhy this forcedoesnot causeanytuming effect aboutB.

[4 marksl GO ON TO THE NEXT PAGE


- 3 -

i.*=: (iii)

Calculatethis tension,T, in the string.

[3 rnarksl I

Total l0 rnarks

2.

(a)

A body of mass,m, startsfrom rcst andmovesa distance,S, when a constantforcc, F, actson it- Show that the kinetic energy,86, gainedby the bodyis given by EK =

,:

+

rtv2 , wherev is the velociry.

[4 marksJ O)

(i)

A tnrck of mass 1500kg, travels u a steadyspeedof 72txn h-r. Calculatc the forcc exerted by the engine if the power outputis 80 kW.

-*-{3 mar}tsl

GO ON TO T}IE NEXT PACE


- 4 t

.-=.-:=..

l

_

(ii)

what is the total drag force acting on ttre truck?

[l mark ] (iii)

The tnrck is now travellingwith constantaccelerationof 3.0 m s'2. Aszuming the total drag forcc is rhe sarneasthat snted in (b) (ii) above,calculatethe total force now exertedbY the engine.

[2 marksJ Total 10 marks

3.

(a)

gravitadonalfield Sute Newton'slaw of gmvitation,and explain what is meantby strengilt.

*-i

[2 marksl

GO ON TO THE NEXT PAGE


- 5 I

l-=:-

o)

, A satelliteis in a circularorbit abovethe eguatorof fre earttr. (i)

Show rtratttreradius,r, of the orbit of thesatellitemovingwitlr angularvelocity, o) , is gyen by the exprcssion GM = fof whereM is themassof thc Eanfl

[3 marks] (ii)

When viewed by an observeron the earth,ttrc satclliteappearsto remainstationary. Find theangularvelocity,o),of the satellire.

' (iii)

t2 marksl

At what radius,r, of ttreorbit, would the satelliteappearo remainstationary?

[3 marksl Total10marks

GO ON TO THE NEXT PAGE


- 6 -

, L-:4.

(a)

StateNewton'slawsof motion-

[3 marksJ O)

A barrcl of mass20 kg is beingpulled up a srnoothplane,inclinedat 30oto thehorizontal, by meansof a ropewhich is parallelto the surfaccof theplane. (i)

Show,on a diagralll,tlre force(s)actingon thebanel.

[2 marksl (ii)

of thebarrcl? If rfrcternionin rtrempeis 240N, whatis theacceleration

[3 marksl GO ON TO THE NEXT PAGE


- 7-

t

t=: tt

(iii)

What is the reactionforcebetwecnthe banel andrheplane?

[2 marksl Total l0 rnarks

5.

(a)

The graphshownin Figure 2 bclowshowsthevariationof displacementwith time foi a massoscillatingfreely on a spring. DisplacemenUcm

Figure 2 (i)

On the axesbelow,show clearly how the accelerationvaries with time for the silmemass.

alms2

[2 rnarksl (ii)

Giventhatthemassabovewas500g, calculate of ttrespring. theforceconstant

[3 marksJ


I I

- 8 (b)

Figure 3 below strowsthe variationof kinetic energywith displacementfor the massspringsysrcm.On the sirmediagram,drawthe graphshowingthe variationof potential energywith displacementfor the samesystem. Energr

Figure 3 ,(c)

[2 marks]

A pendulumhasa lengthof 1.80m and a bob of mass2kg. The bob is pulled asidea horizontaldistanceof 20 cm andthenrcleased.Calculatethekinetic energyof the bob as it passesthroughits lowestposition. Assumeno energydissipation.

[3 marksl Totall0 marks


- 9 -

i"-=: , 6.

(a)

' Dstinguish betwecna stationarywaveanda progrcssivewave,makingreferenceto the amplitudeandphaseof ttreparticlesof the mediumthroughwhichthey frove.

[2 marksl O)

for two-sourccdestructiveinterfaceof sourd'waves SUa THREE conditiorunecessary to be obsewed

[3 marksl !

(c)

Irnagine thU you are standingin a toom in which stationarysound waves exist. Describewhat you would hearover a periodof time, if you werestandingat a position wherean antirnde occurs. Assumethat your ea$ can follow any variation of sound intensitywhich may occur.

F mark J


I ' i

-10-

t

t'-*:r=-

(d\

Figure 4 below demorstratesan experimentto calculatettrespeedof soundin air using waves sufionary soundwaves.The speakerlies 2 m from the metalreflecior,generates of fiequency60 Hz andwavelength0.56 m. A stationarywave paitemis setup between the reflecor and the speaken Metal reflector

IVlicrophonir

Figure 4 (i)

Statettredistanceapartof the nodes. [1 mark ]

(ii)

Calculatethe speedof soundfor this experiment.

[2 marksJ (iii)

Describewhathappensto ttretraceon theoscilloscopescreenwhen the microphoneis graduallymovedtowardsthe plate-

ll mark l Total10marks


I

L*,..-

7.

(a)

;

- rl

TVo light sourcesare said to bc coherent. Describewhat is meant by the terrn 'cohercnt'.

[3 marksl

o)

A doubleslit arrangement for fight wavesis setup as shownin Figure 5. The slits arc 0.1 mm aparl The positiors of the first two maxima,P and Q, on either sidEof the centralmaximumarcshown.'

ol o

-lO mm

,I i I

0l

I

I Lamp Figure5 (i)

Calculatethe wavelengthof rhe light used.

t3 marksl (ii)

Without doing any furttrer calculationsstarethc distanceapartof the two second-order maxirna.

ll rnarkI


_12t-=:

(c) ,

A uansparcnrplasic liyer is placedto rheright of the doubleslit, coveringtlrelower slit in Figure 5. Explain how the centralmaximumwould change.

[3 marksl Total l0 marks

8.

(a) .:

Light is describedas (i)

'electromagnetic radiation'.

Explainwhatis meantby

'electromagnetic radiation'.

[l mark ] (ii)

Give oNE otherexampleof this form of radiadon.

[1 mark I (b)

you canhearthe sonndcomingout of ttredoor of anothenrise closedroornwhile standing in positionA, as showninFigure 6, eventhoughyou arenot in line with thedoor and cannotseethe sound source. A

o

Door

Figure6

-*1

CO ON TO TI{E NEXT PACE


-t3 t

Explain this phenomeno&

[2 marksl (c)

A beamof ligtrt consistsof two wavelengthsof 7.0 x l0arnand5.0 x l0-7m. Which wavelengrtrcould rcprcsentred light? [f rnark ]

(d)

Thc beamis dirccted at a farrsparentmaterial,making an angleof incidcnceof 30o,as shown in Figure 7. Thc rcfractiveindex of the materialfor thc longer wavelengthis 1.51andthe angleseparatingthe two refractedraysin thernatcrialis 0.3". Air n = I.0

Figure 7 (i)

Calculatetlre angleof rcfractionin the block for tlie longer waveldngh.

[3 marksl (ii)

Statethe anglcof rcfractionin thematerialfor thesecondwavelengfi"

[1 mark I 0ii)

Cdculatcthespcedof theredlight asit passesthroughthematerial [1 rnark ] Total 10rnarks

CO ON TO.THE NEXT PAGE off.LlrrAPFlg{t


-14-

I

!rr,_

9-

(a)

DescribeTHREE propcniesthat arerequiredof a sadsfactorythermometricmarerial

[3 marksl (b)

The gnph on pagel5 strowshow theresistance of a therrnistorvaries with ternperarurc measured on thecentigradescaleof a mercury-in-glass thermorneter. (i)

At what temperarurcon the mercury scale is rhe rcsisranceof the rhermistor 500 O? [1 mark ]

'(ii)

If the tlrcrmistorvrereused as a thermornetercalibratedat tlre ice point and stearnpoint, whattemperatureon the therrnistor'sempiricalscalewoutd correspondto 65.0degrcescentigmdeon themercury-in-grass scale?

[4 rnarksJ (iii)

Why is therczucha large differencebetweenthe tempenurcs on the two temperaturescales? What can be done to get better agrcementbetweenthe two temperaturescales?

a . ,.':r*r:t


_15_ {I'

I

!t rD rD' c| : d '

I

;.9

g B

5 5e'

-

j E

It

|D rt D i)

a

n |t

.

| D : GI

3 I

d

ft (|

o . E

B

GI rt D g tt

*i

ol

3 II

=l n G { a a rl

D

r

CO ON TO TIIE NE}ff PACE


- 1 6 '

I i

+i*

;

I

10.

(a)

StateTWO mechanisms by which heatmay be conductedthrougha solid. Metalsarc betterheatconductorsthannon-metals.Why is this so?

[3 marksJ

o)

TWo straightmetal bars,M, and Mr, of circular cross-sectionand equal lengtrs arc joined end to end,as shownin ne Filure I below. The thermalconductivityof metal, M,, is twice thatof metal,Mr. The exposedendsof M, andM" arernaintainedat tempeiatures0, and 0r, respectively,and 0, t 0r. If ttre sibesof tfo barsare well lagged, sketcha graphon the D(esshownin Figure-9 below to illustratehow the temperaturc variesbetweenthe endsof the compositebar understeadystateconditions.

0,

M,

e2

M,

FigureE

x/cm

Figure 9

[2 marksl


- 1 7 lrr-=-

(c)

Ttre extemalwall of ttre frwzer room in a supermarketis made of an outer layer of bricks andan innerlayer of expandcd,polystyrenetiles as shownin Figure 10. Expandedpolystyrene

T 5.0 m

I

Brick

Outside ternperature 0c 30 Inside ternperature - 3"C

I

4.0 m I

I II I I

Figure l0 The brick sectionis 12.0cm hick while tfie polystyrenetiles are 4.0 cm thick. If rhe thermalconductivitiesof brick andpolystyrerparc 0.5 W m-r K-t and0.03 W m-r K-r rcspectively,find the (i)

temperanrre of the brick- tile intcrfacc

[3 marksl GO ON TO THE NEXT PACE n'r.A1l

rq LDE/oo


- l8 Gi)

rate at which heatflows into the freezerroom through

the wall

[2 marks] Total10marks ll'

(a)

Explainwhatis meantby theterms'intemalenergyof gas, ,ideal a and gas,.

[2 marksJ (b)

write down the finst law of thermodynamicsin the form of an equation,explaining clearlythemeaningof EACH termin your equation.

[3 rnarksl

ffi247rlCAPE/99

GO ON TO T}IE NE}M PAGE


_19l-=n-=-

(c)

(i)

: An ideal gas rurdergoes a cycle of changes a -rb -rc -+d as shown in the graph in Figure 1l below. Complerc Thble I below for the cycle. p/kPa

2.0x l0'3 5.0 x 10-3 Figure ll

ThbleI Increasein internal energf of gadJ

a-rb b-+c c+d

Heat supplied to gadJ

Work done on gadJ

600 -40 -500

d+a [4 marksl

Find the net work doneon the gasduring the cycle.

lbtal 10 rnarks nrtaAll

rr"ra DEroo

GO ON TO THE NEXT PAGE


20-

I

I

.!11_

12.

(a)

; A graphof tensilestressagainstteruilestrainis shownin FigureL2fot a metalwire.

C (Breakingpoint)

Figure12 Describethe (i)

regionlabettedOA

ll mark I point B

ll mark I (iii)

regionlabelledBC.

**)

[l mark I


-21 t

L=: C)

Using the appananrisketchedin Figure 13, a snrdentlook the following rcadingsto dctermincthe value of ttre Youngmodulusof the material of the wircs X andy. Original length of wirc = 2.015m Cross-sectional areaof wire = 1.96x l0-7m2 InadA{ Vernierrcadingtnm

0

0.u2

10.0 0.15

20.0 0.30

30.0 0.4

Support

Yernier scale

Fixed mass

Figure13 (i)

GiveTWO rcasons for usingtwo wiresof thesamelengthandmaterial.

[2 marksl (ii)

Find the averageextensionof wirc Y for a force of 10.0N.

E mark I OrDATlnAPE99

GO ON TO THE NEXT PAGE


' " -

t I

'>r-

: (iii)

Find ttre stressin the wirc for a force of 10.0 N.

[2 marks] (iv)

Fird the averagestrainin ttre wire for a force of 10.0N.

[1 mark I (v)

CalculatetheYoungmodulusof the wire.

[1 mark ] Total l0 marks

END OF TEST


1999UNIT1PAPER1