Physics past paper Cape 2007-2011_

L.\ ,,

,{

l-

Lrst' gr 3I{:s-IcAI- ggNSrANrs Universai gravitational constant

(,

6.6f x 10-1i N mr kg':

r\cceleration due to gravir.v

c

9"81 m

Radius of the Earth

RE

6380 km

ME

5-98

x t0:{ kg

Mass of the Moon

idM

?.35

x

I Atrncsphere

P.trn

i"l$xl05Nn-l

Boltsmann's constalrt

k

l-38x10-?3JK-t

h{ass of lhe Earth

s-2

-t

x

l0?2 kg

Density of water

I

Specific heat capacitY of water

4200 J kg'1 K-t

Specitrc latent beat off,rsion of ice

3.3+xidJkg-t

Speclfic latent heat of vaporization of waler

?.?6x106Jkgt

C0

103 kgrn-3

Avogadrr:'s nrlmber

NA

6-02 v- 1C3 per mole

Molar gas constant

R

8.31 J

Stefa!-Boltzmant cofl slffi t Speed of

iight in vacuufil

""

5-67

Kr

rr:o1'1

x lo-8 W m-2 K'a

3"0x103ms-l

GO ON r{) THE NL.X-I I1\I

.I

--l

iiem 2 refers to rhe follrr* .,.-

Wlrtirlr 5.1. unit could be used to express the trilwrr \)l-u light buib?

l {Fr It') (llt

lA

I I

kg mr s'l kg m'r 5 l kg m: s-r

kgt-'

2_

Coplanar iorces with magnitudqs? N,24N and Xare ineQuilibrium- What is&evalue

ofX? tA)

(Bi (c)

(D)

3.

t7N 24N 25N

ilN

Which of the foliowing graphs applies tc a [ndy in motion butwithzeroacceleration?

x/m

6V

,{ bodv c.fconstiint mass rviii have unirlr r acceleration if the resu ilant fbrce actine on it

'\ btrtil

of ?.5

4 tt'-(B) l/

m

A racing car is mov i:":.g round a circular track at a constaftt speed of60 m s r. The radius

ofthetrack is 500 m. Whai ir he ratio ofthe

(c)

centripetal lbrce to the w,;:3;rt of the car?

(A) (d)

{c) {D)

Sfiirrre/s

The magnitude of"L\e nbmentum obtained

I.

(D)

2 3 4

8"02

Ql3

t2

7t"0

(D,

kr

l:

10

//t\

\,.

A-

A stone is throrvn lroqr A'ro D. Tlre stone follov;s a parairoiic pat! such that the highest

pointreached is B. C is a porntjust before it lands ar D" The verticai cornponent ofacce{eration stone is

{A) .t;B) {C) {D}

Two parallel forces act on a rigid body as 'lhe size ofthe slrown in the diagram apove. torqr.ie on the body by these forces is

iAi (E) tc)

Fd

IJ

Fx 2Fd

11"

moving energy c.ftre propelled objtcr A

boy pullson hissiings'hotwith

A parachutist af mass 80 kg descends verrically at a cottstanr velocity of 3-0 m s-r, What is the resultant downward force acting on her?

(A) {B) (c) (D)

the least at B the same at C and B maxirnunr atA greatest at D

A slingshot is a chiid's toy &at conve*s the strain energy of the stretched materia! into the

tD)

800N 56i}N 240'l{

0N

ofthe

a

forceof2tlN

and it extends by 7 cm. At what velocitv does the 20 g stone flY ofil

iA) 8.4 rn s'l {B) 70ms' (C) i6.7 m sr (D) ?.6 m s'r *.'rs

/1-,,'i,.,

'

\ -t11

,\, \.

i

tr-

l{

Th€ true value of a quanriry is

x"

This

!5

quantit-v is measured a iarge number oftimes and the number n. of particularvalues ofx. is *l-*^J^-:--.-. dtalt lJ.ves

Tiro sph*res. one olrnass nr and the other il

ol

rnass:t

are moving towards each orher w ith

velociry'.

v

A.

Which grqph below represenls measurenrenls ofpoor accuracy but high precision?

I,Gri

\ -'

1----.-

'-m\ (':l

\.",/

"lhe spheres have an ela.-"tir: collision. Which one ofthe foilo'* ing statemcnts is correct?

{A)

{A)

The totai kinetic encrgy atter impact

tB)

the

(Ci

The toralkinetic energy atter irnpact

iD)

Themagninrdecfihetdalmomentum

is |imvr. spheres srick together on impact.

is zero,,

(F)

bef'ore impact is r7rmv.

ileni 16 refbr: to the following graph showinE two oscillations.

Sisplaeernent

16.

What is ths phase difterence between the oscillations?

{D)

{A) tt rad (B) nt+ rad ({') !"o n rad {D) ntz rad 'x

item l7 iefers lo the vibrator belc.t which prodrrces stationarl. waves on a strelched

20

cable.

A. Young-s double-siit

expcr r,..pertbrm€d wirh white light incident on the -T.ha1i*ri.;-1-+ cli:-

i::-*^

-4^-iL,irrc !vrrudi -

max'mum isa

(A) ,

Vibrateir

l7

the ftequency ofihe vibrcror rs the speed ofthe wave?

{A) {F) {C.!

{!rl 18.

250 m

rt

500 m 75Om 330 rn

s-t

is 50

Hz

whiie fringe blue ilinge

Whar

TI

-Which

of t-he fbllswing can cofrecr thecondition knor-r,n as lolg sight?

{A) {S) {Ci {Di

s-r

s-t

Plan+concave lens Cylindrical lens Divergingnnrriscuslens Convergingmeniscuslens

\\&ich of dre foilowing observations indicares that s{rund waves are longitudinal?

tA) (E) iC) (D)

19.

green tnnie orange fringe

(B) (Cj (D)

.

22.

Sound waves are diffractedaround cornersSound waves carmot be prlarised"

Sound waves obey the laws

of

reflection. Sound waves are refuacted as rhcy pass f,rom cool airta warrn air.

pf sound, X and y, thal are in phasc are positioned as shown in the cliagram. They b'oth produce wavcs with Ti": t? > 1{. Which of ihe flollowing diagrams BES'Idescribes th6 temperature gradient ol the

no'.ca-

i

_t .nosition 39

tE)

3.5 x I05 Pa 4"4 x 10I Pa 6.3 x 105 Pa 14

x

105 Pa

Which cfthe iollowing equartions represents theTO'|AL kinetic energy ot'one mole ola monatomicgas?

iA)

!:,. -' ?p11'

tlaJ

;Rr

(c)

Itr

3

I

(a

?.

(D)

2T

position

teTp (D)

"\l ii r:l la i I l\t I

t.L

i

--i.+a+t- -'1, .oosition

k_a-+_a

CO ON TO'THE NEXT PACF, 02138010/CAPE2008

29

sounri r.r'aves ,Jl the Saiinc li'eqrrr:trcy having amplitudes of. f cm and I crn respectiveli iLre moving torvards cach other Trvr:r

:,- .L,, -^-

l:- . TA^ ,.--,,lranr

var.v in loudness-

*le m?Lriimum

10

(A) tB) (c) (D) l0

*-:^L4 - r.r r\brr.

produced wili

-[.he

_]J

$r

l ri Lt.

r:;

lhe

(,,\) (t])' (t:) (t))

of

rninimum inrensiiv is

4/r 9t2 6t1

eti

34

llcai capacit! I-atent heat

S1u:cificheatcapaciry Specificiatentheaf

A solar llrmace has a concave mirtttr

rrl

collc'ctinp, ruea0.Bl/m'Z and fre average thenrrnl radiatiou frorn the sun reachi$g the eartlr is

abotit ?50 Wm-2^ A smali object with hc^l capzrcity i-rl' 1000 J K-' is heated by tho fumac.:

nearobjects is callcr1

from l0

31.

tt

rlrrrr'

ratio

'fhe inability of the eye to focus cicarly on

{A) 0r) (C) (1})

irilnc gi'/en lo l,he arn,tut ll ol l t,

..'rrt'rgy rrcedcC to raise tire tcmperatt.ttc r rl I k;4()i .:Lil]:,1ilr.lc€through i deglecoL i kt:llrn',

oC to

40'C. I he tirne

taken ii.rr tlrr:

hcating is

presbyopia

isigmxism

(A) (B) (C) (D)

nryopia hypermetropia

30 s 50 s 60 s t00 s

A geologist needs to know how the tempe.rature ofthe soil 20 m below the earth's

'l'he

11qILl5 reters to the diagrum belcw showing the change in temperalure of subst.ancc Q

surtbces changes throughout the day' thermometer he s*lects fr.rr this job is thc

*,ithtirne"

(A) (B) (C) (D) 32

the ;),r

liqr'ri0 0>g a>g 0>a

(A^)

(B)

(t) (Di,

In

t-6

a

{/>v y>ll I/>Y v>l/

Young's two-slit experiment. light of

wavelength 500 nm produces fringes 2 mm

aparl on a screen. If light of wavelengJttr 250 nm is used and the slit separation is doubled, how far apart would the fringes be?

(A) 4 mm (B)-i 0.5mm (C) 1 mm (D) 2 mm ll

X-rays differ &om microwaves in tiat they

(A) .r(C)': _fB-I (D)

changingtlie shapeofthe eye so that the image fits on the retina the use of lenses to correci de&cts

30.

The near point

ofa defectiva eye is 30 im

from the eye" Ifthe normal near point is 25 cm ftom the eye, the fbcal letgth of lens needed to gonect this defbct is

(A) (B) JC) (D) r

:'1 5

cm'

25cm

'J

't

'i

30cm 150cm

31. Which of the following types of thermometers has the STDEST temperature measuring range?

io) (B) (C) (D)

Phdnumresistance Mercury in glass Constant voiume gas

Alcoholinglass

cannotbereflacted

aredeviatedbyanelectricfield have a shorterwavelength carmot be polarized

9r GOONTOTHENEXTPACE rl-r

I

380loiLlAFE2009

The iength of the liqr"rid colurnn itt a rrercury thennometcr at ice point is 15 mm and at fhe

32 i i

il

il1l

ir r

il il {i :l

it il il

{A)

16,6"C

; (c) tD)

87"8 "C

(B)

B8.l 'C

oC into a large block of ice at0

36' ':

,l

il

(A) (Bi.

rl

(IJ1

I

rl I

11"

5s ?o s 15os

nI.

ll

il

The boiling point of a liquid does not

(A)

Ionly

(c)

I and II only II and III only I, II and III

(D)

K

r3o .rn

/

r

A large rnetal cube has dimensiotrr'

I

(A) (B) (C) (D)

temperature remains constant' The triple point of a sribsiance has a

'

40cm 50cnt 60cm 75 crn

of the

surroundings"

.Gt

m'

temperatures 0, and 0- at its cnt'ls to

37

ll

t

An insulated rod of Metal '4 ol l' r'r"i couducts heat at the same rrtt' comPosite bar when it has tl"

Wtiilst a substance is meiting its

dePend on the Pressure

ii

Aninsulatedcr:mpcsitemetil rrxl""' 30 cm of l\{etal I with 4 t:titttlrr' 300 W m-r K and 30 cm ol ML t rl /'

-i---i-------*--

constant value. rl

^11 L{

2s

T'R,{JE?

I.

1

\ Q=r 3in'.*--->-9\.,..--

Which of the lbllowing statements is./ate ,l

0,24K 0.49 K

conductivitY of200 W

1l

ri

0.19

(B)

Tlrc specific

latent heat of fusion of the i.ce is 3 r 105 J kg:'. How long does it take to melt l0 g uf ice'?

!tc;,)

'

K

(A)

(c)

An immersion heator €ted at 150 W is fiued

]

r

bottom lfall the energy gaint:'l r" ' ' " to internal energy inthe watcr'i

q-\

i02 4 "(l

ol 5oo rr

the rise in temperature of tltt: ir 'it'

steam point is 22-0 mm. Whcn placed in a cup of tea the length olthe mercury column is 195 m.rn, What is the i.ernperature of the tea, as measured on the centigrade scale of this thermometer?

I

il

\4'atcr t-alis from a height

35.

-

12m Xl.2 m. ltis

the blackened cube is 780

'C

'

"

""'

ina

lirr rr'" at a tefilpt r;rttrr'

heated

What is the rate cf enettiv

lr

'"";

from the surface?

(A) (B)

(q) (D)

Jb.J KW

i20 kw

181 kw 602 kw

GO ON TO THE NEX'I' I' ^i'i 0213801OicAPE2009

3SWhichgraphl}ES.l.representsplessure.P.o{agasirsitlirlt..lttltr('lits'tlrasswhenthegasiSpumped intoacontainelof-fixedvolumeandthetemFelzrlul.clclliai|lsc()nstal]t'l

(A)

|

/'-'-

t/

L

V

:*-

QP Et lt'

t/ t

3s.

(D)

*r.n

NO'I Which of the following statements is the kinetic one of the trasic assumptions of

What is the pressure nf a gas of density

40

0.09 kg m-r and root-mean-square

theory ofgases?

(A)

(A) fB)

The attractive forces between the gas moiecules are negiigible '

@) (c)

Thl collisions between the

molecules are inelactic" The size of the gas molecuies are seoaration.

(D)

Gh tsl

gas

negligible comPared to their

41.

Thc duration ol a collision

is negiigible comPared with the time befiryeen coliisions.

velocity

of 1900ms-'? i .31 Pa 57.0 Pa

1.o8xlo5l'a 1.2

x

l o6 Pa

be The fust law of thermodlmarnics may writtenas LU:Q+W"

For an isothermal process this equation

.

becomes

(A) AU: Q (B) Lu : V/'

(c) 9-s-LU

.$)r

Q=-w

GO ON 0213801O/CAPE2009

TOTHENEXTPAGE

ILe:l42.refer"s to the follorving diagram-

42.

The meterial shown has length, l, and cross sectionalarea A. When a tbrce, F, is applied to the material it causes an extension, e, in the material. which ofthe tbllowing expressions can be used io determine the Young modulus of the material'?

Ft

@ E (B)

43.

FA el Ae

(c)

w

(D)

F

el

Whichofthe following statements about the molecularmodel ofliquids

L {I. III. IV.

r-\

Thoir molecules are packedclosely together. Neighbouring molecules ciuster together and there is clusters. fhe forces b€tween molecules are very shong.

a constant

are TRUE?

transfer ofmolecBies between

ThepatternofmoleculesisNOTfixed,

'l(4/ llandrVonly IB) IllandVonly (C) [ II and III only (D) I, IlandfVonll,

GOONTOTHENEXTPAGE ry2i38010/CAPE2009

r6 44

*{! refers to the foilowing diagranr which shows the force-extension graph ofa wire" Itef.n

The graph below was obtained by applying I

VaflOUS iuluub,

r, . ^ ..:-^. !w d triulv '

measuring its length,

1.50

l.5t

,.C ,r.:-r l\r'r er

oru ^r,d

/.

1.52

1"53

1

What information can be inferred fiorn the graph?

I.

The force constantoftte material is

1000Nrn-r.

iL , ilI. IV,.

2

e/mm

L

The ultimate tensile stress of the material is about 3 5 N' The strain aiXis I %The material obeyed Hooke's Law

45.

[Iow much work is done in stretching the wire fiorn an extension of I mm to 2 mm?

(A)

€\ ((c)" *"6i

0"015 J

o.o3or o.o4s J

0.060J

uPto30N (A)

(@:)

I nnd

IV onlY

(c)

II and III onlY II and IV onlY

(D)

itrI and

[V cnlY

YOUR WORK ON THIS TEST' IF YOLT FINISfI BNFORII TIMtr IS CALLED, CHECK

E1 021380i0/CAPE2009

Which

of tire quantittcs

Lrelorv

zlre

{"

(A) (B) (C) (D) 2.

(A) ,6x l0ri (B) 6 x 10:o

(C) (D)

I and II onlY

lll

and

" 19" " l0rs

thc uvelage velociry of a particle is zero, then the rlistancc it has iravclled

(A) (B) (C) (D)

! 0'l crn i 0"59

Length ofside, / = 3.0 Mass of cube, rn: 12'5

The str,rdent therr uses the equation

p-

11f

"l'hc to ,Jetermine the density of the cube perctintage enor in the calculated value ol'1r

:1.

6

If

IV oniY

a In detennining the dcnsity ofa cube studcnt records the following measurernents:

(A) (B) (c) (D)

(,

onlY

I and IV onlY

lI

tn-i The nunrber of

llunrintLtm atoms in a piece of alurlinirrin w.ith a voitrtno oL i 0 tttr i5 apprui'illlaieii

l{eiarivedensitY Force Length Refractive index

ti and

17 g artd its nrolat mass of alrtmirtiurn is

clcnsitv is 2?00 kg

dimensionless')

t. 11" lll. tV.

'I'he

a"6ol,

7% t4o6

6.

must bc zcro dannot be zcto is negative

may or may not be zero

A tennis ball is given a bolizontal veiocity of 8 m/s rvhen it is hit at a height I I m above thc gr.rund. lt is in lhc arrlbr

(A) (B) (() (D)

017s 0.6i

s

2.98

s

8.89 s

4A%

thc Giventhat the fbllowing quantities have irase units shown

P: kg m.r

Q; kg ms-z

R: kgz*':.-' lVhat quantitY does

(A) (B) (C) (D)

Pg

represent'l

R

Distance SPeed

Acceleration Force

(1{) rlN

TNTHF NIiYT PAr]P

-4Item 7

r"efers

attached by a string' which to the fbllowing inibrmation" Trvo ideniical masses are

passes over a ti'ictiorrless pulley.

[r]----n

777-7-777T1

M ,4

I

All 7

.

the graphs helow are draxn to tbe sanre scale'

which

(A)

pa.ir

of Body Q? of graphs below represents the acceleratiotr of Body P and the acceleration

"i

"l

t,[L-

a

rtime

l-+time

"l * "i

(D)

l-

'

,

,,*- [---

.,,*"

^n

nlYfnfirt\ID1ffDACE

\!'hicir ot'the tollorving pairs olconditions is true for an inelastic collision'l

i

I

Kinetic Energy

i

Slornentum conserved

(B)

conserved

{D) lnotconserved

,-- Jl^--,--- 1L,- --^1,-D ic*u.11i5 vrr I

-i

(A) conserved conserved

A man olmass 50 kg stands on a bathroorlt scal€ (balance) in an elevator lfthe elevator acc{:ll,erales upwards to I m s-:. What is the

10.

(A) (B) (c] iil)

3901\'i.

490N-

je0N

not conserved

Which of tile statements below BEST describes rhe motiotr of a geostationrry

11"

Which of the following equations gives the correct relationship Lrelween impulse and

sateflite']

lomenhrm?

iA)

(A) (B)

lmpulse = momenh:rn Impulse = rate cfcbangc

(B)

(C) (D)

impuise-changeinmomentum

(Cl {D)

of momentum

t2

,100N

lmpulse=(momenhrm)?

It movcs with the same velocit-v as the earth. Its geographical localion changcs as the earth rotates,

ltsaccelerationiszero" Its angular velocity is e quai to that of the"earth.

after 2 .5 seconds' which of the A man with a iiarachute jumps ftorn a plarre" FIe opens his pmachute with time t, during the first 6 vary could a" BEST represents how his vertical ruceleration graphs below

seconds of his fall'? (A)

{B}

(c)

(E)

qq GO ON TO TI{F. NF.XT PAGF

-6-

i3.

A body talts frorn a cLiiT Sti m above the ground" If it loses 25r/o of its energy overcoming friction. what is its velccity impact rvitb the grourd? [g = 9.8 N kgt]

(A) (B) (C) (D)

'

16"

When a particle oscillates in a str"aight iine

rvithsimplehannonicrnotion,tl'reperiodol

on

thgoscilla,tion is

(A) directly proportional to

s'r 28.0 m s'r 34,3 m s-r 39-6 m s-r

theorigin

(B) directly proportional to (C)

14. IfrristhemassofanobjectandEitskinetic (D) energy, then its iinear mornentum is (A)

*JE

(il)

zJi

(c) Ji

l7

. (D) "fr^E 15.

A student of weight 500 N is planning a trip up to the peak of Blue Mountain. Frnm her starting point, this will involve an increase in altihrde of 1800 rn" She buys "high calorie" enerp bars which contain I 000kJ ofenergy. Assuming herbody to be 10 oZ e{ficient how many bars will she need to eat for the necessary gain in altitude?

(A)

(B) {c) (D)

I e

e0 e00

.

the

acceleration of tbe particle

independent

of the frequency of

osciilation

independent of the amplitude

of

oscillatinn

The displacernent of a particie undergoing simple l.rarmonic motion is given by

a

p'

the

displacernent r:f the particle from

19"8 m

x =gsino.4

nt

I'he frequency ofoscillation oftheparticle is

(A) (B) (c) (D)

0.2142

oAHz

.sHz 8Hz

Itern l8 ret'ers to the tbllowing diagram

20.

TString

Which of the tbllorving events is associated with transverse rvaves but NOT longirudinal rvrtvcs.''

(A) (B) (C) (D) 21

18"

,

t Barton pendulum system used to demonstrate resonance, Which penduium would swing with the GRE,\TEST amplitude when the driver O is

The diagram shows

pulled aside and released?

,

Interference' Polarisation

Retlection Refraction

Sound rvaves with a frequencSz of200 I{z travel through a medium with a speed of 400 m sr" What is the phase dit*:reirce between two poinls which are 3 ur apart in rhe direction of rhe u ave'l

(A) A

rods

4 lfenrl-19 ref'ers to the diagrarn below which shows a snapshot ofa rope as a transverse

fB)

wavepasses along it from lett to right"

X^Y

,/\/z ---\-7 t9.

XYZ (A) (B)

2

) (C) ltr

?

Which of the loliowing correctly shows the directions ofthe motiou oipoints X,Y andZ on the,rope'/

A rods

(D)

rads

E rads

.

The foliowing displacemcnt-position gra,ph represents a stationary wave at two different instants of time. Displacement 22

+--)l !

TJ

(c)

tt

(D)

--) €-. -+

Pcsiti0n

What does the distance PQ represent?

(A) (B)

G) (D)

Halfthe velocity I{alfttre period Half thewavelength llalf'the ampliurde

23.

i\

wave of arnplitude I 0 cm has intensity l, . Another similar rvave has an amplitude of ,5cmandintensity[.. What is the valire of

t6

refractive indcx of rhe mediurn is

I,

(A) (B) {c) (D)

It

'

It'

(A) (B) (c) (D)

As light travelling in air enter"s a medium its speed changes to 2.4 x 10s m s'r. 'Ihe

2

0.60 0"80 1"2s 1"50

4 20 s0

27

For a dor,rble slit interference pattern using light, the separation offringes will increase

if Item 24 refers to the following graph which shoils a stationary wave on a string. Arnplitude

I. lI.

Blue iightis usedinsteadofrcd. 'fhe screen is moved away frorn the

UI.

slits. The siits are brought closer together

(A) I only (B) I and II oniy (C) II and IIi only (D) I,II and III 24.

Where on this stationary wave does an antinode exist?

(A) @) (C) (D)

28.

An object is placed 3 crn in front ofa diverging iens of focal length 5 cm. Where wiil the image be fourd?

Ponly QonlY Sonly

PandRonly

(A)

About 2 cm in front of the lens

(B)

About 2 cm behindthe lens

(C)

About

(D)

About -cm behind the lens

Two light sources are said to be coherent" The waves liom them must therefore have

(A)

thesame ftequency and aconstant

iu lront of the lens

1

).

phase difference

(B)

the same amplitude and a constant

(C)

the same wavelength and no phase diftbrence the same velocity and a constantpath difference

(D)

I

-cm 2

phase difference

AN r\\I Tr) "IsIJF ]\IEJ'T DA'iF

10 3"1

ln an electrical lnethod tbr determining the specific heatcapacity of a metal, the foilowing readings were obtained

JO

cr-rnrposite conductor rvith rnaterials of tlrernral conductivities h H2, kR has insulated

A

sides. Heat is translbned through it trom left L -l---- -,.^-ll. tti i-lBni iis SlrUl! ii ir l ills lll4t8r Jii i ucIU -

of metal supplyvoitage cun"ent tin.re forrvhich heat supplied temperature rise olmetal rnass

2 kg 240 V 3

20

+

lnsulation

+

Insulation

A Vz

s

l0 "C

Whai is the specific heat capacity of mctal?

(A) (B)

240'3x6.. 'K ---;Jks -r..-1

1

Each material has the sanxe thicktless. Which ofthe lbllowing diagranrs BEST describes the temperature gradient of the cornposite wall?

?l{Ia9 roo- l*-t 240x3x60 t,

ic) ^ {l)) 35.

3"lo*2jrpn-t,a-t 240"

3

t2

tt4

240x3x20.. -1....1 ikg 'K 2xl()

-

Water falis from a height of 500 m. What is the rise in temperature ofwater at the bottom ifall ofthe energy gained is converted to intemal energy in the water?

(A) (B) (c) (D)

(A)

t1

(B)

t2 t3

-t_i_

r"17K 0"1e

i\ -----f-----

K

0"24K A.4eK tl

(c) \ t3 t4

{D)

tl t2

tt t4

Gr) (-)NTO THF NFXT PAfiF

_l

1l 37

A contractot builds an otfice rrtndor'v

ol

40

height I i0 cm and r,' idth 200 cm '*ith a glass -fhe temperatrire pan* of thickness 0.5 cm" difference across the giass is 15 K and the

K'r.

rhe tollorving e.iualrorts can be used to

rA)

Calculate the heat energy

per second conducted through the witrdo''v.

(A) (B)

ic) (D) 3ll

t

1"63

kW

5"8)

kw

63

(B)

i-l:4

k\v

5d5kw

f(ci*c,'+ +cif

(D)

sphere has an absolute is hung in thc centre of an enclosure whose walls are at a higher

A srnall black

absolute tellperafure T?" The net rate of gain

of therrnal r:nt:rgy bY the sPhere is

4I

proportional ttr

(A) (T,)' (B) (r,)o (c) (r,)4- (r,)4 (D) {T" *.T',)'l

1i--Tlrv

(D)

kgm'r up to a depth of 3.0 m? "[Atm.

(A) (B) (C) (D)

molecules in

(C)

What is the total presiiur€ on the base of a container ofcross-sectional area 5.0 m2, ifit is filied witJr ethyiene gylcol of densif-v 1120

Avogadro's number is the number ot

(A) @) '

lc, -c:"\l-- ,v-F,'+'c:, - --{l

IrV

temperature T," It

39

o1

of

determine ilre r:m.s speed olthe molecules'J

thermai conductivily of the glass is 0"65W rn-'

.gas cr;nturirts N molecLrles. 1'hc spec-ds the nrolecules are Cl. C2.,., C*, Which

A

x 104 Pa 67x104Pa l-0 x lOs Pa 3"3

t.l3 x

lOi Pa

Itern4! reij>rs to the fallowing diagram.

one litre of gas at l.l"T.P one mole of a gas

onegramofagas onekilogramofagas

Press: 1.0 x iOi Pa]

A

*-**-=-+-

-

*-"42"

The material shown has length, i, and cross-sectional area, A. When a force, F, is applied to dre material it causes an extension, e, in the material,. Which of the following expressions can be used to determine the Young modulus of the

l-'

I

Extension

material?

(A)

F/ Ae

(B)

FA

(D)

el

(c)

Ae

FI (D)

el FA

GO ON TO THE NEXTPAGE 0213801O/CAPE 201 I

-15Item 45 refers to the foliowing diagram"

The figure above shows llrc fbrce-extension graph of a wire. I low rnttch work is done in stretching thc wire from an extension of 1

mm to 2 rnnt'/

(A) (fr) (c) (D)

IF'

YOU FINISH BEFORN'NM

tr:,

l5

.l

0.03()

.1

0.045

.l

0.(X'0

J

0.()

IS ( :A I,I., It: I),

CI

HECK YOUR WORK ON TIIIS TEST.

rlE 02138010/CAPE 2011