n'Z'E_

m

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

(A)

ln the relationshiP C : i'Q- CWhich graPh rePresents thetletween Q and P?

lS a Ct)nstant.relationship

i0 knrh{20 krnh-'30kmh-'40kmhr

'fhe base SI units ofspecific heat capacityarg

m2s-r K-lkg rn2stK'mz$ K'kgm?K-r

An objecl oi'mass, m, is nlovitlg !vith iiineiicenergy E. Which olthe tbilowing has thcsame base units as its momenturn?

j*emE

Taking upwards as positive, which of thefollowing graphs BES"I' describes a bail tharwas thrown upwards and then came backdown to th.esame hcight?

(B) v

@)

(c)

(D)

5"

(A)

, Two velocity vectors ofmagnituds 20 krn h 'and 40 lan h-r are to be $ubtracted- Which ofthe frrllowing isNOT apossible value fortheanswer?

(c)tal(B)(c)(D)

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

(D)

COONTOTHENEXT P^CE 77

->

tl"\ a\M) l2N1 I/\/-/ \ _./

.,1

A tennis ball i:; given a horizontai vek:ciry ol8 rn s'when it is hit at a heiglrr ol 1.8 mabove lhe ground. It is in the air for

(A) 017 s(B) 061 s(c) 2.e5 s{D) 8-89 s

Item.7 refcrs to the foilowing diagram.

befbre

An object of maqq M travelling with a velociryu collides rvith a stationary object of mass2M. After collision the two masse$ sticklogerher and move with a common velocityv. The rnagnitude cfv is equal to

{A) 3u(B) "(C) un(D) tl3

An objectmoving atconstant speed in a circleof radius r turns througir arr angle 0(mea"sured in radians) in a time t, -lhe velocityv along the tangent is given by

(A) v=Zrf'/t(B) v: r0

2ni(c) v:d-t(D) v:-"

rt

A hammer thrower rnirkes -l completeer.olutions in 3.2 s . The distance bretweenthe hammer and the tlirorter is I .5 m. !!'hatis the centripetal acceleration of tbehammer'?

(A) 0.17i m s:G) 29 ms)(C) 5.8 .m s''(D) 92.5 rn s-:

:

Whirh oi thc follorving equations , lJrepresenft; the gravitational fiel

LAef l,? ret'ers ti' the Clagf,xr frclaw l.f

II\\ri \\ \u \\ \lL_ _ t\( ir-ourid

A marble rolls off thc horizontal surface cfatable and {alls to tiie ground. \\4eich graphsixrws how the resu,ltant verLical fcrce acting$n the marble vsries with tirne befure ii hits&egormd?

-

__. .J -.

r\ t1('{ I Pl,.,llr'(' lt\- a b !lU (}: !r,lr!t4'L rL,rL(

fi,xrl rcsr liir ;r flxeC clistance. 'fhe ki:reritcnc,ri:y rcquired b-r'the bc* of mass. m is

(A) proporriilul to aG(ts) pri4:orlional to m.1fcl Dron()ftit n3l to

-rn

P) indePr'trdentofm

Which of the folkrwing graphs represertts thvelociry-tirnc graph ofa bra.ss ball-bcariulwhen released rn a coirirnn of glycerinc?

14

(A) v4\II

+*-----+r

(ts)

(Dl

(c)

,1Ijii----- ---- i-trlr--.-l

(i() ON TOTHENI.;XT PAG1

A car traVelliirgi *, o "o.,r*l*clocit-v is provided ivith 15 kW of

useful power. The driving force on the car is 600 N. What is thevelocity ofthe car? li

"iit

n *^'l5 Tns'

l0 mst25 m s-i

in a simple har-monic rnotion with amplitudeA and period I thernaxinrum veloclty is

(B)(c)(D)

16.

(A)(B)(ci(D)

Av'I'NZn'T2n/N2nA/-f

l7 . A particle moves wittr simple harmonic motion in a straight line,Which ofthe following graphs BEST represents the way in whichthe force F acting on the particie depends on the displacementx?

tA)

(B)

(c)

{o)

cooN T'o't'HH NEX1

jA mass ol?50 g hanging at the errd of a s1;ringof spring consfart. k' markes ? i oscillzrtions in1 1 seconds" Whai rvouid be the perioci ilthesystem 1\.eic ttken to a planet rvhere gral'itywas % of thal on Earth?

II/l

{iem ?2 rei'ers to lhe ioliorving diagram

'l t

What is the phase dill'erencc betlvee$Waves 1 anelZ?

rAr Ja.",tio*v'/ 2(B) ;*dtr*/ct {*ai-*(D) a radians

tem 23 refers to the followrng diagrarn"

F

Give the wavelengrh of the stationary wavoin tergrs of L if lhe rlislance befwecn pointsE&Fi.s4L-

a

.\I(A)

1B)

(c)

I-s

r 1?l):i:jls4 \11./

42"

1(l Acldld's swing ofmass l0 kg is oscillatingwith simple harmonic motion whcre themaxirnum height reached is 0 5 m above thecquilibrium position. 'l'he following tablcshows pairs of eaergy values during thcoscillation \i/hichpaL isNGI possible?

,:,) 4[*J'

(A)@)tc)iD)

F.ri-]FEIJr:- KEIJ4918 J1JA L-)49 0

ll). Ellstic rvaves in a solid are2l(A) transverse(B) iorgitudinal

{C) eithrl-rarsve$eorlongitudinaiini neitbcr trdnsverse nor lorgiiudinal

tl . Therefractive intlexoirvateris 1'13' Whatwill. be 0re speed of liglrt inwater?

(A) i.0 x 108 m s-l(B) 2"26 x 108m s-'(C) 4.0 x i08 rn s-'(D) 1.33 x iOE m s-:7{

GO ONTOTHENEX|PACE

4L

?,L

4.L3t-,j

(A)(B)

(c)(D)

1)2 t3B010icAPE2008

24

-8-

"fhe distani;e between a node and aneighbouring antinode ilfa stationary waveis eqla! t-r'

(A) the wa:Yelength(B) onequarterofwaveiength(C) rwice the wavelength(D) hatf ofthe wavelenglh

[tem 25 refers to the foilowing vibratior-rs ofecrur air coiumns o f equal length-

l he ratio ofthe frequencies f, : f, : f, : f"rs

(A) 12:6:3'- 4(B) t:2'"4"3(c) 4'.2 "3 tiD) 1 :2 "3

:4.

itetn 26 refers to the follou'ing diagrant

Young'sFringes

In a Young's two-slit experirnent" -the

separation debrueen the first and tlfth briehtt i"g* i. 2.5 mrn when the wavelertgth usedis 6) x 10" m- The distance fiorn the slits tothe screen is ii"8 m, then the separation ol-the two slits is

(A) 0.2mm(B) 0.5 rnm(C) 0"8rnm(D) l-0mm

When monoclrromatic li ght' of wavelength6.1) x l0-7 m is incident norrna'lly on aplanedif'fiaction grating, the angle between the iwoseconci ordcrdiffraction lines formed is40p'

What is the number of lines per rnillime treofthe grating?

1* 25mm -;

iltltll26.

t1;;:*uaLL-

1

ffi

28"

(A) 187(B) ?85{c) 350(D) s36

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

Two souncl waves have intcnsities 0'1 W ln-?

and 5 W m'2' What isths difference in theirintensity levels?

1.7 dI]5 dtll7 dB50 dB

iU

tA)

A comnosite bar of I materials of the mla.lconduclivities k,2k and lk" The sides ofrhebar are lagged and hear is transferred fron-rIeft to right as shoun in the diagram below.

Hach iayer has thickness a and thclemperature disribution is tl > t, > t? > 1{.Which of ihe flollowing diagrams BES'I-describes th6 temperature gradient ol thecomposite wall?

Whrch siateiiieiri tsESi- expiains theircrLlrrelce of corivection cun*nts?

(A) i{ot molecules cxen greaier forccsthari cold ones.

/n\ I)-^.'-i,.a -ratinn no'.ca- ft"i,Jc tn h.e\.'',

in constant modon.(C) Heat decreases the density offluidstluough expansion so they mustrise-(D) The movement ofbubbles due to theprocess ofboilirig.

A container of fixed volume contai-ns 5.0 molof gas at a pressure of 3-5 x 10s Pa. Anextra 4.0 mo! of gas is pumped intc theconteiner and the container is allowed torehrm to iis orginal temperature" What is thefinal pressnre ofthe gas?

(A) 3.5 x I05 Pa(B) 4"4 x 10I Pa(C) 6.3 x 105 Pa(D) 14 x 105 Pa

Which cfthe iollowing equartions representstheTO'|AL kinetic energy ot'one mole olamonatomicgas?

!:,. -'

teFpttl--r r rt,l\lliL\l Ill\i Itrll\ll I l\ iI I l\lirlii\

-.i---l-- nositionra,* _a *-_a _t .

39tE)

(a

(D)

iA)

tlaJ

?p11'3

I;Rr

Itr?.

2T

(c)

(D)position

teTp

"\l iir:l la Ii I l\tt.L i

--i. - -'1, oositionk_a-+_a +a+t- .

02138010/CAPE2008CO ON TO'THE NEXT PACF,

_]J29 Trvr:r sounri r.r'aves ,Jl the Saiinc li'eqrrr:trcyhaving amplitudes of. f cm and I crnrespectiveli iLre moving torvards cach other:,- .L,,

-^- - *-:^L4 l:- . TA^ ,.--,,lranr rlrrrr'r.r r\brr.produced wili var.v in loudness- -[.he ratio of*le m?Lriimum 10 rninimum inrensiiv is

(A) 4/rtB) 9t2(c) 6t1(D) eti'fhe inability of the eye to focus cicarly onnearobjects is callcr1

{A) presbyopia0r) isigmxism(C) nryopia(1}) hypermetropia

A geologist needs to know how thetempe.rature ofthe soil 20 m below the earth'ssurtbces changes throughout the day' 'l'hethermometer he s*lects fr.rr this job is thc

(A) liqr'ri

rA boiler contains wate. at atmosphericpressuie. Use the data brlow to calculetetke rvork done by the s:'srern in pmducing 1kg ofsteam (water vapour) at atmosphericpressrire-

Data: I kg of r,r'rter at 100 'C occupiesl.0x l0-rm'

i kg of steam at l0O "C and ataimospheric pressure occuPicsl.?m'

(A) oJtB) l5o0 J(C) l00x i0'J(D) t"7x l05J

Which of the following satemerlts about anisorherriral proces-\ in an ideai gas are ir(Ie?

41.

il

I"

Iil.

(A)(B)1.,- I

iD)

i'he energy added by htating" Q, iszero

T!:r cbaqge in !41qt-n?! energy. 4 [ iis zerc

-lhe wor[ done by the gas, lV, equalsthe change in intemal energy.

I onlyllonlyI arrd III cnlyII and III oniy

{tem 42 refers ta the diagnun above shcwing a hydrometer, a device thatmeasures relative densiry.

Liquid X of densitY P

What is the densrty.P ofliquid X?

1.3 kg m-r300 kg mr

1000 kg mr1300 kg m'3

42"

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

Water

02 l]80l0icAPE2008COONTOTHENEXTPACE

77

I2

{3. Achilddrinksorangejuiceofdensitl p,using a straw held verticalty'. The atnosphericpressure is P. and the child can lower the

^. rL^.^- ^g.L^ ^+-^-." L-. anO/I^errsrv 4( rr1v.!P vl

The IvIAXIMUM kxrgth ofst-aw ihat would

, aliow the clrild to drink thejuice is

2P"IA\ pc

PrBi ^r4s

PiC') . !r-)pg

{leq44 refers to the ficllowing diagram

llhe diagram strowsthe fbrce extension graphforan elastic material. Whatdoesthe shadedregion under the graph represent?

(A) TheYoung'smodulusofthematerial(B) The tensile stress of the material(C) Thetensile strain ofthe material(D) "fhe strain energy ofrhe materialIF YOU FINISH BEFORE TIME IS CALLED, CITECK YOLIR IYCIRK ON

Which one of the. statemenls aboulCefcrrmation ofsolids isNOT rue?

(4-) -^- s,:l!d beha'.,es elesti*Il;. if *r.parnanent deformation takes placeafter the force has been removed.(B) Stress is the extension per unit leng*rofthe material. It has no units.

{C) All solids are elmtic when smallfcrrces are attached to them-(D) In stretching a material, thc workdone is stored as strain cnergy, ontrcI Iooke's l.aw applies.

THIS TA$T.

45.

ri,(D).G

44-

021380rO/CAPE2008