I 9*7 lo\CARIBBEAN EXAMINATIONS COIJNCIL CARIBBEAN EXAMINATIONS COUNCII

CARTBBEAN N)VANcED pncincENcy ExAMINATIoN cARTBBE.L\ ADVANCED pRoFIcIENcy EXAMINAT

hNSWER BOOKLET ANSWER BOOKLET

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

TEST CODE TLST CODE

cr TEr rE/-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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02

03

04

05

06

07

08

09

TOTAL

SCHOOL/CENTRE NUMBER

NAME OF SCHOOL/CENTRE

EANDIDATE'S FULL NAME

DATE OF BIRTH

Day Month Year

BELorv rHrs LINE F-oR cxil;sE oNLy

FOLDER NUT!{BER

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

BELOW THIS LINE FOR CXC USE ONLY

FOLDER NUMBER

I

l*=-.-

LIST OF PHYSICAL CONSTANTS

Universal gravitational constant

Acceleration due to gravirY

Radius of the Eanft

Mass of the Eanh

Mass of the Moon

1 AtmosPhere

notumailn's constant

DensitY of water .

Thermal conduddvitY of coPper

Specific heat capacity of aluminium

Specific heat caPaciry of coPPer

Specific heat caPacirY of warcr

Specific latent heat of fusion of ice

Specific latent heat of vaporisation of water

Avogadro's number

Molar gas constant

Ste fan-B oltzmann constant

Speed of ligttt in vacuum

G

E

\

h,t

MM

Atrn

k

6.67x10uNm2kg- }

9.80 m s-2

6380 kmq

5.98 x tOPn tg

7 .35 x tOz fg

1.00 x ldN m2

1 . 3 8 x 1 0 - 2 3 J K - t

1.00 x td tg m-3

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 . 3 4 x t d l r g - t

2 .26xtd l tcg- r

6.02 x 104 Per mole

8.31 J K-r mol-r

5.67 x lO-s w m-2 K-a

3 . 0 x 1 0 t m s - r

NA

R

FORM TP 99220rESr coDE 002472

PILOT/ruNE 1999lt*:-

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 EXAMINATION

PHYSICS

t lNIT l -Paper02

2 houn

In-?ddition to the 2 hours, candidates are allowed a reading timeof 15 minutes. Writing may begin during the l5-minute period.

:, READ THE FOLLOWING INSTRUCTIONS CAREFULLY

l. l*r

paper consists of NINE questions.

2. Section A consists of THREE questions. Candidues must anernpt ALLquestions in this section. Answers for this section must be written inthis answer booklel

3. Section B consists of SD( questions. Candidates must attempt THREEquestions in this section, ONE question from EACH Module. Answersfor this section must be written in the answer booklet provided.

4. All working MUST be clearly shown.

Copynght @ 1999 Caribbean Examinations Council

wz4TztcApEl99 Atl rights rcserved'

I!

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I - 2 -

SECTION A

Attempt ALL questions. You MUST write in this answer booklet. You must NOT spend more than30 minutes on this section.

1. Figure 1 below shows a velocity - time graph for a rubber ball thrown vertically upwards froma tennis gun designed to give the ball an initial speed of 14 m s-r.

Velocity/m tt ,U

L4

t2

1 0

8

6

. ' 4

. 2

t o

a

- 4

- 6

- 8

- 1 0

_ 1 20.2 0.4 0.8 1.6 1.8 2.0

Figure I

Lo:

t.4t.21.0

- 3t\.---

(d')' Describe a possible experiment that you could perform to obtain the data for the veloc-ity - time graph shown in Figure l.

( i )(b) Describe the rnorion of the ball during rhe periods AB and BC.

[ 4 marks]

[ 3 marks]

(ii) Esrimare the heighr ro which the ball rises.

[ 2 marksl

(ii i) From the graph, how can you tell that the objecr rerurned to the point of projec-t ion?

I l m a r k ]

Totil-IO marks

THE NEXT PACE

t "

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002472tCAPry99 GO ON TO

- 4t*A-ship being used to {nap the sea bed, sends out high-frequency sound waves at regurarI intervals as it.travels along it" water surface. Tabre 1 berlw shows thl distance of the ship fromits starting point and the time taken for the signal to be received from the sea bed after transmission.

( i) Assuming that the ship travels in a srraight l ine and the deprh of the sea bed at point A is100 m, calculate the depth at point B.

-"s r 'v LrvPtIr ut r ' I le sea Deo

Hence' complete the Table I above. Put calculations in the space below.

[ 6 marksJComplete Figure 2 below to show the shape of the sea bed over the distance travelledby the ship' The position of the sea bed ar ihe starting poinr is indicated for you.

0 S 0 m l 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 i )

100 m

[ 2 marksl

NEXT PACE

Table 1

50 m 100 m t50m 200 m 2S0 m300m

P g n e F c

oo?.47? tCA ptr/oo

Figure 2

GO ON TO TFIE

I

1'",-:t-

(iii)

- 5

State TWO ways in which a more precise map of the sea bed could be obtained.

[ 2 marksl

Total l0 rnarks

(a) 2ffi g of solid sulphur was heated electrically at a uniform nte of 50 W. The temperarure- time graph shown in Figure 3 below was obtained.

150

140.' 1 3 0

120

110

r00

90

80

70

60

50

40

30r00 200 300 400 500 600 700

Figure 3

Assume that all the energy is transfened from the heater o the sulphur.

(i) What is the melting point of sulphur?

*.t, I mark J

GO ON TO THE NEXT PAGE

3.

TemperaturefC

Tirne/s

(vYralar AttEr(}/o

I

I

t -

State TWO precaudons thar youexpcrimcnL

(ii)

- 6 -

'calculate the specific heat capacity of solid surphur.

(iii) calculate the specific latent heat of fusion of sulphur.

[ 3 marksl

[ 2 marksl

O) (i) Stare Two sources of error rhat could occur in pcrforming rhis expcrimcnt.

(i i)

[ 2 marksJ

would take to improve the accuracy of this

[ 2 rnarksl

Total l0 marks

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

- 7 -

. SECTION B

You MUST atternpt THREE questions from this section. Choose oNE question EACH fromMODLILE lr2, & 3. You MUST write your answers in the answer booklet provided.

MODULE I

Answer EITHER euestion 4 OR euestion 5.

State the principle of conseryadon of linear momenrum. [ 2 marks]

show that for an object projected with a given velocity, v, at an angle, q to rhe horizon-tal, the trajectory is given by the equation

y = r l a n c , -2v2 cos 2 c,

[ 6 marks]

A rifle is uscd to fire two bullets. The first shot is at an angle of 60o above thehorizontal and tre second at an angle of 45o above rhe horizonul. The speed ofEACH bullet as it leaves the rifle is 200 m s-r. For EACH bullet calculare rhehorizontal range and the conesponding rime of flight.

One of these bullets has a mass of 30 g. If the mass of the riflc is 5 kg, what isthe velociry with which rhe rifle rccoils?

[2 rnarks]

' Total 20 mrrks

II

4. (a)

o)

d

(c) (i)

( i i )

CO ON TO TIIE NEXT PAGE

t- .lt:

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(a)

- 8

5. (i) Three important 'base quantities' are mass, tength ard timd. Explain the term'base quantity' and give another example of a 'base quantity'.

(ii) If in another system of units the base quantities and units arc mass,/kg, lengtly'm,and force/N, what would bc tre unit of time?

(iii) How would you use base quantities or units to check the homogeneity of physi-cal equatioru? State ONE way in which an equation that is hornogeneous may,nevertheless, be physically inconecl [ 7 marksJ

In an experiment, the viscosity, Tl, of a liquid is determined in terms of the'volume, v,passing per second through a capillary urbe of radius, r, and length, l, under a prcssuredifference, p, wherc

(b)

no(n = f f i

(i)

(i i)

Assuming the given equation to be homogeneous, strow that the SI unitof q is N s m-2.

If r is 0.75 mm, measured to a precisionof 10.02 mm and p, I and v aremeasured to an uncertainty of *2.Oqo, tl.SVo and *1.0% respectively,estimate the uncertainty to which I can be detennined.

The viscosity of oil as determined by this merhod is 0.010 N s m-2.What is the actual uncertainry in the lneasurement?

Identify ONE case of random error and one case of systematic error inthe measurements of the physical quantities required to determine Tl.Say what you would do to reduce these erors. [13 marksJ

Total 20 marks

(ii i)

(iv)

I

t - 9 -

MODI.]LE 2

6.

Ansrrer EITHER Question 5 OR Question 7.

(a) Figure 4 below shows the overhead view of a ripple tank in which two dippem, X and Y,vibratc at 5 Hz. Corls arc placed at P and Q. The arcs r€pres€nt th€ crests of the wavesand the distance ftom Y to P is 15 cm.

(i)

(ii)

Figure 4

Describe how the displacements of P and Q vary with time.

Calculate the speed of the waves.

(b)

t 5 marksl

Describe an experiment !o demorutrat€ the diffraction of plane water waves in a rippletank for a niurow gap. Draw a diagram of what you would expect to s€e when lookingdown at the surface of ttre ripple tank [ 3 marksl

(c) Figure 5 below shows the orientation of a plane wave, AB, in the sea with respect to thesea shore.

Sea shore

Figure 5

This waye eyentually approaches the sea shorc parallel !o it.

* *-r

Explain why this occun.' t 4 marksJ

TO T}IE NEXT PACE

tionrtionmol

IDirecof mc

I,B I

A

GO ON

(e)

(i)

, _ 1 0 _t * :

;

(d) Water waves of frequency, f, amplitude, A, and travelling with velocity, v, are transmit-ted through water of density, p. By coruidering each molecule of the water to bc under-going simple hannonic motion, write down expressions for displacement and velocityof the water molecules with time. Hen@, deduce an expression for the power due to thewater waves in terms of f, p, A and v for a cmss section of arca I m2.

[ 5 marksl

Figure 6 a and Figure 6 b below show, at an instant of time, the shape of the surface ofthe water in a ripple unk in which (i) a progressive wave and (ii) a stationary wave existrespectively. Copy Figures 6 a and 6 b in your answer booklef

Figure 6 a

Figure 6 b

Directly below EACH figure in your answer booklet, draw on the doued line, the state ofthe water surface one quarter of a period later.

[ 3 marksl

Total 20 marks

(i i)

GO ON TO TI{E NEXT PACE

7.

- 1 1I

t--:-

(a) Explain the phenorirena involved in the formation of a diffraction pattern by a planediftaction grating. . t 2 marksl

O) Describe, with the aid of a diagrarn, an experiment to me:uure the wavelength of yellowlight fr,orn a straight filament bulb, using a diffraction grating having N lines per mehe.

[ 6 marksl

(c) White light of wavelength 400 nm - 700 nm is incident on a plane diftaction gratingruled 5ffi lines per mm.

(i) Find the angular breadth of the fint-order spectmm. Show your result on alabelled diagram.

(ii) Show that ttre second-order spectrum of the white light overlaps wirh the third-order spectnrm.

[12 marksJ

Total 20 marks

MODI.JLE 3

8. (a)

o)

' Ansver EITHER Question 8 OR Question 9.

Discuss tlp nanrre of the processes by which a hot body may lose heat to the sunound-ings. [ 3 rnarks]

A schematic diagnrn of a simple solar water heater is shown in Figure ? below and across section of ttre collector is shown in Figure 8 on page 12.

Hot-water outlet

Sunshine

$ Storage tank

Cold-water inlet

'*'r

ON TO THE NEXT

5'

w247aCAPEB9

Figure 7

GO PACE

- 1 2 -

I

L*:i

(a)

(c)

Insulation

Copper tube

Figure 8

(i) Explain why a sheet of glass is used on the collecror.

(ii) The main component in the collector is the blackened copper sheeL .Explain itsfunction.

(iii) Explain why a b*tp is not required lo circulate the water in the srorage mnk.[ 5 marksJ

The Thble 2 below shows the radiation per unit area from the surface of a rnetal atvarious temperarures.

Thble 2

Assuming that P = 6an where A and n are constants, plot a graph to determine A and n.' Il2 rnarksJ

Total 20 marks

Write down an expression for the pressure of an ideal gas in terms of the mean squarespeed of its molecules. State FOUR assumptions rhat are required in the derivation ofthisexpression. t SmarksJ

Write down another exprusion for the pressure of a fixed mass of an ideal gas in termsof its volume and absolute temperature. Show that the expression is consistent with thatin part (a), provided that a certain assumption is made. State this assumption.

[ 3 marksJ

(c) A vessel, of volume 500 cil3, contains hydrogen at a pressure of 1.0 pa and a tempera-ture of 27oC. Estimate the

9.

o)

(i) number of molecules in the vessel(ii) me:n squarc speed of the molecules

(iii) total translarional kinetic energy of the molecules(iv) average translational kinetic energy of a molecule.

[Molar mass of hydnogen = 2,0 x t0-3 kg;

ll2 marksJ

Total 20 marks

nn'rA1) lf A DFrOO

END OF TEST