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AFFIX

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PROFICIENCY EXAMINATION

PHYSICS

Unit 1- Paper 01

90

minut s

( 21

MAY

2010

(a.m.))

READ THE FOLLOWING

INSTRUCTIONS

CAREFULLY.

1. This testconsists 145items. You willhave 90minutes toanswer them.

2. Inaddition tothistestbooklet,you should have ananswer sheet.

3. Do not be

concerned

that the

answer

sheetprovides spaces for

more

answersthan there are items

inthistest.

4.

Each

item

inthistesthasfoursuggestedanswers lettered(A),

(B),

(C),(D). Read each

item you

areabout toanswer and decidewhich choiceisbest.

5.

On

youranswer sheet, find thenumberwhichcorrespondstoyour item and shadethe spacehaving

thesame letterastheanswer

you

have chosen. Look atthesample item below.

SampleItem

Which

ofthe followinglists

one

scalarquality

and

one vector

quan tity?

(A) mass: temperature

SampleAnswer

(B)

momentum: pressure

(C) force:velocity

(D) potentialenergy:volt

The best answer tothisitem is

"momentum:

pressure", soanswer space

(B)

hasbeen shaded.

6.

Ifyouwant

to changeyour answer,be sure to erase itcompletelybeforeyou fill in

yournew

choice.

7. When

you

aretoldtobegin,tum the

page

and work asquickly

and

ascarefullyasyou can.Ifyou

cannot answer

anitem,

omit

it

and

goontothe

next

one. Your scorewillbethetotal

number of

correctanswers.

8. You

may

doany rough work inthisbooklet.

9. Figuresare

not

necessarily

drawn

toscale.

10.

The use

of

non-programmablecalculatorsisallowed.

iiiiiii

DO NOT TURN THIS PAGE

UNTIL

YOU ARE TOLD

TO

DO SO.

-

!!!!!!!

Copyright

2009CaribbeanExaminationsCouncil.

Allrightsreserved.

-

!!!!!!!

02138010 CAPE2010

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iiiiii

t AFFIXSEALHERE ..

8/10/2019 CAPE 2010 U1 P1 Physics

2/12

ST

PHYSICAL

CONSTANTS

Universal gravitational consta

I t

G

6.67 x 10-

11

N m

2

kg?

Acceleration

due

to gravi ty g 9.8m

1

Atmosphere Atm

1.00 x 10

5

N rrr-

Boltzmann s

constant

k

1.38 x 10-

23

JK-I

Density of water

1.00 x 10

3

kg m

Specific heat capacity ofwater

4200Jkg-

1

K-I

Specific latent

heat of

vaporization

ofwater

2.26 x 10

6

J

kg

Avogadro s number

N

A

6.02 x 10

23

per mole

Molar gas constant

R

8.31 J K-

I

mol

Stefan-Boltzmann constant

( J

5.67 x 10-

8

W rrr? K-4

Speed oflight

in

vacuum

c

3.0xl0

ms

1

GO ON TO THE NEXT PAGE

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- 3

1.

Which of the quantities

dimensionless?

1

Relative

density

II.

Force

III.

Length

IV.

Refractive

ind.:x

(A) I and II

only

(B) II and III

only

(C)

I

and IV only

(D) II and IV only

below

are

4

5

The

molar mass of

aluminium is 27 g and its

density is 2700 kg m , The number

of

aluminium atoms in a piece ofaluminiumwith

a volume

of

1.0 m' is approximately

(A)

6 x 10

25

(B) 6 x 10

26

(C) 6

X

10

27

(D) 6 x

10

28

I f

the average velocity

of

a particle is zero,

then

the d istance it

has

travelled

2. In

determining

the density

ofa cube

a student

records the following measurements:

Length

of

side,

=

3.0 0.1 em

Mass of

cube, m

=

12. ) 0.5g

(A)

(B)

(C)

(D)

must

be zero

cannot be zero

is negative

mayor may not be zero

to determine the density

of

the cube.

The

percentage error in the ca lculated value

of p

IS

The

student

then

uses the equation p

(A) 0.6

B) 7

(C) 14

(D)

40

m

6

A tennis ball is

given

a horizontal velocity

of

8 mls

when

it is hit at a

height

1.8 m

above

the ground.

It

is in the

air

for

(A)

0.37 s

(B) 0.61 s

(C) 2.98 s

(D) 8.89 s

3. Given that the following quantities have the

base

units

shown

P: kg

m

Q:kgm

R: kg?

m S-I

What quantity

does

Q

R

represent?

(A)

(B)

(C)

(D)

Distance

Speed

Acceleration

Force

GO ON TO

THE

NEXT PAGE

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- 4-

refers to the following information. Two identical masses are attached by a string, which

passes over a friction less pulley.

All the graphs below

are drawn

to the same scale.

7. Which pair of graphs below represents the acceleration

of

Body P and the acceleration of Body

Q?

a

(A)

Q

t . . . . .t i m e 1 .. . . . .

time

a

a

p

(B)

1 . . . .

time time

a a

p

(C)

I . . . .. . t i m e

1 --------

time

a

a

p

Q

D)

1 .. .

time

I . . . . . . t i m e

GO ON TO THE NEXT

PAGE

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- 5

8.

Which of thefollowingpairs

of

conditions is

10. Amanof mass50kgstandsonabathroom

trueforaninelasticcolhsion?

scale(balance)inanelevator. Iftheelevator

acceleratesupwardsto2m S-2. Whatisthe

readingonthescale?

Kinetic

Energy

i (A)

conserved

(B)

not

conserved

(C) conserved

(D) notconserved

(A) lOON

Momentum

conserved

I

conserved

notconserved

notconserved

(B)

390N

(C)

490N

(D) 590N

11.

Which

of

the

statements

belowBEST

describes the

motion

ofa geostationary

9.

Which

of

thefollowingequations

gives

the

satellite?

correctrelationshipbetweenimpulseand

momentum?

(A)

It

moveswith

the

same

velocityas

theearth.

(A) Impulse

=

momentum

(B) Itsgeographicallocationchangesas

(B) Impulse=rateofchange

the

earthrotates.

ofmomentum

(C) Itsaccelerationiszero.

(C) Impulse change inmomentum

(D) Itsangularvelocityisequaltothat

(D) Impulse (momentum)'

of theearth.

12.

A man with a parachute

jumps

from a plane. He openshis parachute after 2.5 seconds. Which

of

the

graphsbelowBESTrepresentshowhisverticalaccelerationa,couldvarywithtimet,duringthefirst6

secondsofhisfall?

a

(B)

A)

t

23 4 5 6

2345

6

(D)

a

C)

a

1 2 3

4 5

6

.

I

I

I I

I

t

1 2 4 5 6

GO ONTO

THE

NEXTPAGE

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- 7

Item18referstothefollowingdiagram.

o

Driver

B

c

D

18.

The diagram shows a Bartonpendulum

system used

to

demonstrate

resonance.

Which pendulum wr -uld

swing with the

GREATESTamplitudewhenthedriver0 is

pulledasideandreleased?

Item19referstothediagrambelowwhich

showsasnapshotof aropeasatransverse

wavepassesalongitfromlefttoright.

19.

Which

of

thefollowingcorrectlyshowsthe

directions of the motionofpoints X,

Y

and

Z

ontherope?

y

X

Z

(A) -

t

(B) t

(C)

t

t t

(D)

-

-

02138010/CAPE2010

20.

Which

of

thefollowingeventsisassociated

withtransversewavesbutNOTlongitudinal

waves?

(A) Interference

(B) Polarisation

(C)

Reflection

(D)

Refraction

21.

Soundwaveswithafrequency

of

200 Hz

travel throughamediumwith a speedof

400 m

s'.

What is the phasedifference

betweentwopointswhichare3mapartin

thedirectionof thewave?

[

(A)

-rads

4

(B)

[

r ds

2

2

(C)

-1[rads

3

(D)

[ r ds

22. Thefollowingdisplacement-positiongraph

representsastationarywaveattwodifferent

instants

of

time.

Displacement

Position

WhatdoesthedistancePQrepresent?

(A)

Half

thevelocity

(B)

Halftheperiod

(C) Halfthewavelength

(D) Half

the

amplitude

GOONTOTHENEXT PAGE

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-

6-

13.

14.

A body falls from ;t cliff 80 m above the

ground.

If

it

lost

s

250/0 of its

energy

overcoming friction. what is its velocity on

impact with the ground? [g = 9.8 N kg: ]

(A) 19.8 m

S-I

B) 28.0 m S 1

(C) 34.3

m

S-I

(D) 39.6 m S 1

Ifm is the mass ofar object and E its kinetic

energy, then its lineal

momentum

is

16.

When

a particle

oscillates

in a straight line

with simple harmonic motion, the period of

the oscillation is

(A)

B)

(C)

D)

directly proportional to the

displacement of the particle

from

the origin

directly proportional

to the

acceleration of the particle

independent of

the frequency

of

oscillation

independent of

the

amplitude of

oscillation

(A) 17. The displacement of a particle undergoing

simple harmonic motion is given by

B)

x =

8sin 0.41l

(C) The frequency ofoscillation of the particle is

15

D)

A

student

ofweight 500 N is planning a trip

up

to the peak

of

Blue Mountain. From

her

starting point, this wi involve an increase in

altitude

of 1800

m She

buys

"high

calorie"

energy

bars

which

contain 1000 kJ

of

energy.

Assuming her

body

to be 10% efficient, how

many bars will she

need to

eat for the

necessary gain in alti tude?

(A)

B)

(C)

D)

O.2Hz

O Hz

5Hz

8Hz

(A) 1

(B) 9

(C) 90

(D)

900

GO

ON

TO THE NEXT PAGE

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8

23.

A wave of amplitude 10 em has intensity

II'

Another similar wave has an amplitude

of

5

ern and

intensity 1

2

What is the value

of

26.

A)

(B)

C)

(D)

2

4

20

50

27.

Item 24 refers to the following graph which

shows a stationary \\ ave on a string.

Amplitude

Distance

p

24. Where on this stationary

wave does

an

antinode exist?

28.

(A)

(B)

C)

(D)

Ponly

Qonly

Sonly

P and

Ronl)

25.

Two light sources loe said to be coherent.

The waves

from the. n

must

therefore

have

A)

(B)

C)

(D)

the

same

frequency and a constant

phase difference

the same amplitude and a

constant

phase

difference

the same wa velength and no phase

difference

the same vek

icityand a constant path

difference

As light travelling in air enters a medium its

speed

changes

to

2.4

x 10

8

m

S-I . The

refractive index of the medium is

A)

0.60

(B) 0.80

(C) 1.25

(D)

1.50

For a double slit interference pattern using

light, the separation offringes will increase

if

I.

Blue light is used instead ofred .

II.

The

screen is moved away from the

slits.

III.

The

slits are brought closer together.

(A) I

only

(B) I

and

II only

C)

II and III only

(D)

1, II

and

III

An object is placed 3

ern in

front

of

a diverging

lens of focal length 5 cm. Where will the

image be found?

(A)

About 2 em in front

of

the lens

B)

About 2 cm behind the lens

(C)

About em in front of the lens

2

1 .

(D) About - crn behind the lens

2

GO ON TO

THE

NEXT

PAGE

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- 9-

29. Which

ofthe

following statements regarding

lenses is/are correct?

I. A converging Iens always forms an

image bigger than the object.

II.

An object pl.iced in front

of

a

converging

lens

can form a virtual

image.

III.

A diverging

lens can form a real

image

of

an \

ibject

placed in front

of it.

(A)

I only

(B)

II only

(C)

I

and

III

only

(D) II and

III

only

30.

The near point

of

a defective eye is 30 em

from the eye. The normal near point is

25 em from the eye. The focal length of the

lens needed to correct this defect is

(A)

5cm

(B) 25cm

(C)

30cm

(D)

150cm

31.

Which instrument is MOST suitable for

measuring rapidly changing temperature?

(A) The resistance thermometer

(B) The mercury-in-glass thermometer

(C) The thermocouple

(D) The alcohol-in-glass thermometer

Item 32 refers to the following graph.

Length/em

34.0

2.0

o

100 Temp/oC

32.

The graph shows

how

the length of the

mercury in a thermometer changes with

temperature. The temperature which

corresponds to a length of 10.0 em is

(A) 15C

(B)

20C

(C) 25C

(D)

30C

33.

What is the name given to the amount

of

heat

energy needed to change 1 kg of water at

100C into steam at 100C?

(A) Molar heat capacity

(B)

Specific latent heat offusion

(C)

Specific heat capacity

(D) Specific latent heat ofvaporisation

GO ON TO THE

NEXT

PAGE

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-

10

34.

In an electrical metiod for determining the

36.

A composite conductor with materials of

specific heat capacity ofa metal, the following

thermal conductivities k k 2

kJ

has insulated

readings were obtained

sides. Heat is transferred through it from left

to right as shown in the diagram below.

mass ofmetal 2 kg

supply voltage

240 V

current 3A

time for which heat -upplied 20 s

temperature rise

of

I

netal

10C

What is the specific heat capacity ofmetal?

Each material has the same thickness. Which

ofthe following diagrams BEST describes the

240 x 3 x 6 . - 1 - I

(A)

JKg

K

temperature gradient

of

the composite wall?

2 x 10 x 20

2xl0x20 ikg-1K- 1

(B)

240x 3 x 60

2 x lOx 20

(A)

K-

1

(C)

J240 x 3

240x

3x 20

kg -

1

K-

l

(D)

2 x 10

35.

Water falls from a height

of

500 m.

What

is

the rise in temperature ofwater at the bottom

if

all of the energy gained is converted to

(B)

internal energy in the water?

(A)

1.17K

(B)

O.l9K

tt

t 2 - - - "" ' . : - - - - f - - ~ - - f

t

3

+

- - - t - - - - - - - - -" r - - - f

(C)

0.24K

(D)

0.49K

Q

. . -

Insulation

t

4

. . - Insulation

tt

(C)

t

4

t 2 ~ ~ I

t

3

~ - - - - - t - - - - - -

tt

(D)

t

3

t

4

t

2

~ r f

- __ -+

GO ON TO THE NEXT PAGE

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43. Four different liquids are poured into identical measuring cylinders. The diagrams show the heights

of

the liquids and theirdensities. Which liquid exerts the LARGEST pressureon the base of its measuring

cylinder?

2 g/cnr'

(B)

1.6 g/cm '

A)

-

20cm

10cm

1.2 g/cm

3

(D)

0.7 g/cm

3

(C)

40cm

30

em

Item 44 refers to the following graph.

Item 45 refers to the following diagram.

Stress

FIN

Strain

1 2 e/mm

44.

This graph is

MOST

likely to apply to

45.

The figure above shows the force-extension

graph of a wire. How

much work

is

done

in

(A) steel

stretching the wire from an extension of Irnm

(B) glass fibre

to 2mm?

(C) an elastic band

(D) polythene sheet

(A) 0.015 J

(B)

0.030J

(C) 0.045 J

(D) 0.060J

I YOU FINISH

BEFORE TIME

IS CALLED, CHECK YOUR WORK ON THIS TEST.

02138010/CAPE2010