/1fu-t-'*J tu[;]'a''CARIBBEAN EXAMINATIONS COUNCIL

CARIBBEAN ADVANCED PROFICIENCY EXAMINATION

i.ANgwER BOOKLET

CARIBBEAN EXAMINATIONS COUNCILCARIB B EAN ADVAN CED P R,OT'ICIENCY EXAMINATION

ANSWER BOOKLET

0 0 2 4 7 I

FILL IN ALL THE INFORMATION REQUF^STED CLEARLY AND LEGIBLY

TEST CODE TEST CODE

SUBJECT PHYSICS UNIT I APER OI SUBJECT PrlYsrcs UNIT I _ PAPER 0l

REGISTRATION NUMBER RECISTRATION NUMB

SCHOOLrcENTRE NUMBER

NAME OF SCHOOUCENTRE

CANDIDATE'S FULL NAME

DATE OF BIRTH

Day Month Year

,OC MALE

FEIVIALE

SICNATURE

BELOW THIS LINE FOR CXUI'SE ONLY

0 0 2 4 7 I

QUESNOS.

1aLPI

uFn

t'sP3 TOTAL

0t

02

03

04

05

06

07

OE

09

l0

l l

12

TOTAL

BELOW THIS LINE FOR CXC USE Or.{LY

FOLDER NUMBER

'**:-l

LIST OT PHYSICAL CONSTANTS

Universal gravi tational constant

Acceleration due to gravity

Radiu of the Eanh

Mass of the Earttl

Mass of the Moon

I Aunosphere

Bolumann's constant

Density of water ,

Thermal conductivity of copper

Specific heat capacity of aluminium

Specific heat capacity of copper

Specific heat capacity of water

Specific latent heat of fusion of ice

Specific latent heat of vaporisation of water

Avogadro's number

Molar gas constant

S te fan-B oltzmann constant

Speed of light in vacuum

G

g

\

teMM

Atm

k

6 .67x10r rNm2k12

9.80 m s2

6380 km ,

5.98 x l0u kg

7.35 x t02 kg

1 .00x l dNm-2

1 . 3 g x 1 0 2 3 J K - r

1.00 x 103 kg p-r

400 W m-r K-r

910 J kg-t 6-t

387 I kg-t 6-t

42ffi J kg-t 6-t

3.34 x td I rg-t

2 .26x l f f Jkg ' t

6.02 x 103 per mole

8.31 J K-r mol-r

5.67 x 10-r W m-2 K-a

3 . 0 x l O t m s - r

N^

R

o

c

rEsr coDE 002471FORM TP 99219 , prlor/ruNE Lsss

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

AD VANCED PR OFI.TEXCY EXAMINATION

PIrySICS

UNIT I -Pape r0 l

2 houn

In addition to the 2 hours, candidates are allowed a reading timems m-ffi[ies- writing may begin during the lS-minute period.

__-i

uopAll rights rcscrrcd. .

ffn47UCAPE/99

1 .

\EAp rHE FOLLOWTNG rNsr+ucTroNs CAREFULLY

This paper consists of TWELVE questions. Candidar,es must attempt,ALL questions.

Candidarcs MUST write in ftis ilnswer booklet and all working MUSTbe clearly shown.

- 2 -I

L.:

l . A ball of weight 0.4 N, with a suing tied to ir, is suspended from a point B. - The ball is pu1edaside by a horizontal force, F, as shown in Figure I bclow, so that the string malces an angie 0with the venical.

Figure I

The ball remains at rest in ttris position.

(i) By taking mornents about B, or otherwise, calculate the magnitude of the force, F.

[3 marksl

A tension force, T, in thc string, acts on the ball. Show this force on Figure I above andexplain why this force does not cause any tuming effect about B.

(ii)

[4 marksl

GO ON TO THE NEXT PAGE

- 3 -i.*=:

(iii) Calculate this tension, T, in the string.

[3 rnarkslI

Total l0 rnarks

2. (a) A body of mass, m, starts from rcst and moves a distance, S, when a constant forcc, F,acts on it- Show that the kinetic energy, 86, gained by the body is given by

,: EK = + rtv2 , where v is the velociry.

[4 marksJ

O) (i) A tnrck of mass 1500 kg, travels u a steady speed of 72txn h-r. Calculatcthe forcc exerted by the engine if the power output is 80 kW.

-*-{3 mar}tsl

GO ON TO T}IE NEXT PACE

- 4t

l _.-=.-:=-..

(ii) what is the total drag force acting on ttre truck?

[l mark ]

(iii) The tnrck is now travelling with constant acceleration of 3.0 m s'2. Aszuming

the total drag forcc is rhe sarne as that snted in (b) (ii) above, calculate the total

force now exerted bY the engine.

[2 marksJ

Total 10 marks

3. (a) Sute Newton's law of gmvitation, and explain what is meant by gravitadonal field

strengilt.

*-i [2 marksl

GO ON TO THE NEXT PAGE

I

l-=:-

o)

- 5 -

,A satellite is in a circular orbit above the eguator of fre earttr.

(i) Show rtrat ttre radius, r, of the orbit of the satellite moving witlr angular velocity,o) , is gyen by the exprcssion

GM = fof

where M is the mass of thc Eanfl

[3 marks]

When viewed by an observer on the earth, ttrc satcllite appears to remain sta-tionary. Find the angular velocity, o), of the satellire.

' t2 marksl

(iii) At what radius, r, of ttre orbit, would the satellite appear o remain stationary?

[3 marksl

Total 10 marks

ON TO THE NEXT PAGE

(ii)

GO

, - 6 -L-:-

4. (a) State Newton's laws of motion-

[3 marksJ

O) A barrcl of mass 20 kg is being pulled up a srnooth plane, inclined at 30o to the horizon-

tal, by means of a rope which is parallel to the surfacc of the plane.

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

[2 marksl

(ii) If rfrc ternion in rtre mpe is 240 N, what is the acceleration of the barrcl?

[3 marksl

GO ON TO THE NEXT PAGE

t

t=:tt

- 7 -

(iii) What is the reaction force betwecn the banel and rhe plane?

[2 marksl

Total l0 rnarks

The graph shown in Figure 2 bclow shows the variation of displacement with time foi amass oscillating freely on a spring.

DisplacemenUcm

Figure 2

On the axes below, show clearly how the acceleration varies with time for thesilme mass.

alm s2

[2 rnarksl

Given that the mass above was 500 g, calculate the force constant of ttre spring.

5. (a)

(i)

(ii)

[3 marksJ

II - 8

(b) Figure 3 below strows the variation of kinetic energy with displacement for the mass-

spring sysrcm. On the sirme diagram, draw the graph showing the variation of potential

energy with displacement for the same system.

Figure 3 [2 marks]

,(c) A pendulum has a length of 1.80 m and a bob of mass 2kg. The bob is pulled aside a

horizontal distance of 20 cm and then rcleased. Calculate the kinetic energy of the bob

as it passes through its lowest position. Assume no energy dissipation.

[3 marksl

Total l0 marks

Energr

i"-=: - 9 -, '

6. (a) Dstinguish betwecn a stationary wave and a progrcssive wave, making reference to the

amplitude and phase of ttre particles of the medium through which they frove.

[2 marksl

O) SUa THREE conditioru necessary for two-sourcc destructive interface of sourd'waves

to be obsewed

[3 marksl!

(c) Irnagine thU you are standing in a toom in which stationary sound waves exist.

Describe what you would hear over a period of time, if you were standing at a position

where an antirnde occurs. Assume that your ea$ can follow any variation of sound

intensity which may occur.

F mark J

I 'i

- 1 0 -

Figure 4 below demorstrates an experiment to calculate ttre speed of sound in air using

sufionary sound waves. The speaker lies 2 m from the metal reflecior, generates waves

of fiequency 60 Hz and wavelength 0.56 m. A stationary wave paitem is set up be-

tween the reflecor and the speaken

Metal reflector

IVlicrophonir

Figure 4

State ttre distance apart of the nodes.

[1 mark ]

(i i) Calculate the speed of sound for this experiment.

[2 marksJ

(iii) Describe what happens to ttre trace on the oscilloscope screen when the micro-phone is gradually moved towards the plate-

ll mark l

Total 10 marks

tt'-*:r=-

(d\

(i)

I

L*,..-

7. (a)

; - r l

TVo light sources are said to bc coherent. Describe what is'cohercnt'.meant by the terrn

[3 marksl

A double slit arrangement for fight waves is set up as shown in Figure 5. The slits arc0.1 mm aparl The positiors of the first two maxima, P and Q, on either sidE of thecentral maximum arc shown.'

Lamp

Figure 5

(i) Calculate the wavelength of rhe light used.

t3 marksl

(ii) Without doing any furttrer calculations stare thc distance apart of the twosecond-order maxirna.

ll rnark I

o)

oI

I, iII

o l-lO mm

0 l

_ 1 2 -

t-=:

(c) , A uansparcnr plasic liyer is placed to rhe right of the double slit, covering tlre lower slit

in Figure 5. Explain how the central maximum would change.

[3 marksl

Total l0 marks

8. (a) .: Light is described as 'electromagnetic radiation'.

(i) Explain what is meant by 'electromagnetic radiation'.

[l mark ]

(ii) Give oNE other example of this form of radiadon.

[1 mark I

(b) you can hear the sonnd coming out of ttre door of an othenrise closed roorn while stand-

ing in position A, as shown inFigure 6, even though you are not in line with the door

and cannot see the sound source.

Ao

Door

-*1

CO ON TO TI{E NEXT PACE

Figure 6

- t 3t

Explain this phenomeno&

(c) A beam of ligtrt consists of two wavelengths of 7.0 xwavelengrtr could rcprcsent red light?

[2 marksl

l0arn and 5.0 x l0-7m. Which

[f rnark ]

Thc beam is dirccted at a farrsparentmaterial, making an angle of incidcnce of 30o, asshown in Figure 7. Thc rcfractive index of the material for thc longer wavelength is1.51 and the angle separating the two refracted rays in the rnatcrial is 0.3".

Figure 7

(i) Calculate tlre angle of rcfraction in the block for tlie longer waveldngh.

[3 marksl

State the anglc of rcfraction in the material for the second wavelengfi"

[1 mark I

Cdculatc the spced of the red light as it passes through the material[1 rnark ]

Total 10 rnarks

CO ON TO.THE NEXT PAGE

(d)

(ii)

0ii)

Air n = I.0

off.LlrrAPFlg{t

I

!rr,_- 1 4 -

9- (a) Describe THREE propcnies that are required of a sadsfactory thermometric marerial

[3 marksl

The gnph on page l5 strows how the resistance of a therrnistorvaries with ternperarurcmeasured on the centigrade scale of a mercury-in-glass thermorneter.

(i) At what temperarurc on the mercury scale is rhe rcsisrance of the rhermis-tor 500 O?

'( i i )[1 mark ]

If the tlrcrmistor vrere used as a thermorneter calibrated at tlre ice point andstearn point, what temperature on the therrnistor's empirical scale woutd corre-spond to 65.0 degrces centigmde on the mercury-in-grass scale?

(iii)

[4 rnarksJ

Why is therc zuch a large difference between the tempenurcs on the two tem-perature scales? What can be done to get better agrcement between the twotemperature scales?

a . ,. ' :r*r:t

(b)

{ I '!t rDrD' c|: d '

; . 9g B5 5e '-

_ 1 5 _I

I

d

* io lII

=l

jEIt|DrtDi)an|t.| D :

GI3Ift(|

o . E

BGIrtDgtt

3G{aarl

nDr

CO ON TO TIIE NE}ff PACE

Ii+i*

I;

- 1 6 '

State TWO mechanisms by which heat may be conducted through a solid. Metals arcbetter heat conductors than non-metals. Why is this so?

[3 marksJ

TWo straight metal bars, M, and Mr, of circular cross-section and equal lengtrs arcjoined end to end, as shown in ne Filure I below. The thermal conductivity of metal,M,, is twice that of metal, Mr. The exposed ends of M, and M" are rnaintained at tem-peiatures 0, and 0r, respectively, and 0, t 0r. If ttre sibes of tfo bars are well lagged,sketch a graph on the D(es shown in Figure-9 below to illustrate how the temperaturcvaries between the ends of the composite bar under steady state conditions.

Figure E

Figure 9

10. (a)

o)

0, e2M, M,

x/cm

[2 marksl

lrr-=-

(c)

- 1 7 -

Ttre extemal wall of ttre frwzer room in a supermarket is made of an outer layer ofbricks and an innerlayer of expandcd, polystyrene tiles as shown in Figure 10.

Expanded polystyrene Brick

Outside ternperature

30 0c

I

4.0 mI

Figure l0

The brick section is 12.0 cm hick while tfie polystyrene tiles are 4.0 cm thick. If rhethermal conductivities of brick and polystyrerp arc 0.5 W m-r K-t and 0.03 W m-r K-rrcspectively, find the

(i) temperanrre of the brick- tile intcrfacc

T5.0 m

IIII

II

Inside ternperature- 3"C

GO ON TO THE

[3 marksl

NEXT PACEn'r.A1l rq LDE/oo

- l 8

Gi) rate at which heat flows into the freezer room through the wall

[2 marks]

Total 10 marks

ll' (a) Explain what is meant by the terms 'intemal energy of a gas, and ,ideal gas,.

[2 marksJ(b) write down the finst law of thermodynamics in the form of an equation, explainingclearly the meaning of EACH term in your equation.

[3 rnarksl

ffi247rlCAPE/99 GO ON TO T}IE NE}M PAGE

l-=n-=-

(c) (i)

_ 1 9 -

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

p/kPa

2.0 x l0'3

Figure ll

Thble I

[4 marksl

Find the net work done on the gas during the cycle.

lbtal 10 rnarks

GO ON TO THE NEXT PAGE

5.0 x 10-3

Increase ininternal energf

of gadJ

Heat suppliedto gadJ

Work doneon gadJ

a-rb 600

b-+c -40

c+d -500

d+a

nrtaAll rr"r a DEroo

I

I.!11_

12. (a)

; 2 0 -

A graph of tensile stress against teruile strain is shown in Figure L2 fot a metal wire.

C (Breaking point)

Figure 12

Describe the

region labetted OA

ll mark I

point B

ll mark I

(i)

(iii) region labelled BC.

**) [l mark I

- 2 1t

L=:C) Using the appananri sketched in Figure 13, a snrdent look the following rcadings to

dcterminc the value of ttre Young modulus of the material of the wircs X and y.

Original length of wirc = 2.015 mCross-sectional area of wire = 1.96 x l0-7 m2

InadA{ 0 10.0 20.0 30.0Vernier rcadingtnm 0.u2 0.15 0.30 0.4

Support

Yernier scale

Fixed mass

(i)

Figure 13

Give TWO rcasons for using two wires of the same length and material.

(ii) Find the average extension of wirc Y for a force of 10.0 N.

TO THE

[2 marksl

E mark I

NEXT PAGEOrDATlnAPE99

GO ON

tI'>r-

:

' " -

(iii) Find ttre stress in the wirc for a force of 10.0 N.

[2 marks]

(iv) Fird the average strain in ttre wire for a force of 10.0 N.

(v) Calculate the Young modulus of the wire.

[1 mark I

END OF TEST

[1 mark ]

Total l0 marks