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    SULIT960/rSEPTEMBER 2OO9

    PEPERIKSAAN PERCUBAANSIJIL TINGGI PELAJARAN MALAYSIANEGERI PAHANG DARUL MAKMUR

    PHYSICSPAPER 1

    Onehour and fourty-fiveminutes

    Instructions to candidates:DO IUT OPEN TIIIS ffitEf T'ITTTI Yq' ARE TALD TO M 9.There are fifty questions in this paper. For each question,four suggestedcnswers are given.Choose an,ecorrect answer and indicate it on the multiple-choice answer sheetprovided.Read he instruclions on the multiple-choiceanswer sheetvery carefulty.Answer all questions. Marl6 will not be deductedfor wrong answers.A Data Booklet isprovided.

    Arahan kepada calon:JAI\GAi\I BUKA BUKU SOALAI\ INI SEIIINGGA ANDA DIBENARKAN BERBUATDEMIKIAN.Ada lima puluh soalan dalam kertas ini. Bogi setiap soalan, empat cadangan jawapandiberikan. Pilih satu jawapan yang betul dan.tandakan jawapan itupada helaian jawapan anekapilihan yang dib ekalkan.Baca arahan pada helaian jawapan anekapilihan itu dengan teliti.Jawab semua soalan. Markah tidak akan ditolak bagi awapan yang salah.' Buku Data dibekatkan.

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    PHYSICS

    PAPER 1(1% HOURS)

    SEKOLAH ME,NENGAH KEBANGSAAN SULAIMAN28700BENTONG PAHANGTRIAL EXAMINATION 2AO9

    UPPERSIX SCIENCENOTE

    In addition to this paperyou will require the following items1. Calculator 2.DataBooklet

    List of fundamental nhysical constants bund in the Data BookletSseedoflieht in free space c:3.00 x 10" ms-'Fcrrneability of free space u^:4nx10-7Hm-lPermittivitv of free space e-:8.85 x l0-" F m-' = 1 /86 2r) x l0 - 'F m- 'Maenitude of electronic charge e=1.60x10-"CFlanck constant h=6.63x10-"Js$nified atomic mass constant u = 1.66 l0-' ' keRest massof electron m -:9.11 x 10-"ksRest mass of proton m ":1.67 x 10 "'keMolar sas constant R: 8.31 K -' mol-'Avogadro constant N n:6.02 x 10" molEeltzmann onstant K=1.38 xl .0--""JK-Aeceleration of free fall G:9.81 m s- 'Gravitational constant G:6.67 x l0-" N m"kr '

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    Variationof thevelocityv in m s-rof an automobilewith time / in seconds siven bv

    rn s2and m sarn-t s3 and m-l s4rn s-2and m s-3m s-3and m s-4u// \ *. ,r?s'' /h Stn$g tt^>.SupposeA = B'C', where Ahas dimensionsLi, B hasdimensionsL2T-1, ndC has

    t *d; l\A ?. fv(n s'n rnil sLtn il'tv\ " ' - @1*a1 hx*' i lo l d5 *'* 5 /Ltttfn ' t l*u tW-L 'AA stone s thrown vertically upwards from the ground level, rises o a height h and hen fallsback to its startingpoint. Assuming that air resistance s negligible, which of the followinggraphsbest shows how Er, the kinetic energy of the stone,varieswith s, the distancetravelled?

    \r1t \/,auo,o'nu

    v=atz +bt3The units of a and b respectivelyare

    C9

    At: ' . l6t- t f .5nr 05

    0 r,r : : : .

    Suppose = B^'C"',whereAhasdimensionsL'l ' ,BhasdimensionsL'T-',ndChas " \dimensionsLT2 . Then the values of the indices n andm are espectively: , ,.)X Sn 1'A ?una! grol -3 3 a- cl f l l -B 2 and3 /. t , - ' )nC^t-) u* ?c 1urra1 1't's

    (fn.a /n . n

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    4 A base ball is thrown vertically into the air. The acceleration of the ball at its highest point is,/,/X 9.8 m s-2 ownwards/ B 9.8 m s-2 pwardsC Changingsuddenly rom 9.8 m s-'upwards o 9.8 m s-'downwardsD Cannotbe calculatedwithout knowing the initial velocity@ Wtrictrof thefollowingpairscontains vectoranda scalar?

    accelerationVkinetic energyltorque Vspeed5.

    West( bearing270"

    displacement ' :angularmomentumV:momentum V :'power s :n' (r lI . /

    t/

    Threecoplanar forceshaving magnitudes20 N, 40 N dan 50 N, act upon a particle Pshown in the frgure below.

    , \, nlI

    A@ID

    East( bearing90" )

    Which of the following is the bearing of the additional that is required to keep the particlein equilibrium?A 37o .,-/ B T27O c 1430 2170

    Lt\ f

    tW6

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    Force NThe graphbelow shows how the force acting upon an object varies with time.

    L\E\ ( , !f"\t *N'' - )

    Time/ swt

    $J

    024Assuminghe objectmoves n a straightine,A 40kgms-r P 36kgms-r

    is its changeof momentum?20kgms-r D 16kgms-r

    C 6.8Nm D 7.8Nm

    6whato

    I Two pendulum bobsof unequalmassare suspendedrom the same ixed point by stringsof equal engths.The lighter bob is drawn aside and then releasedso that it collides with theotherbob on reaching he vertical position. The collision is elastic.What quantitiesare conservedin the collision? w\rr@ goth kinetic energy and angular *o*"rrirr* of the system.-R Only kinetic energy.C Only angular momentum.D Angular speedof the lighter bob.9 A simplependulumof length40.0 cm has a bob of mass2.0k9. The bob is pulled to oneside mtil the pendulummakes an angle of 30owith the vertical. What is the torque acting on thebob when the bob is released?

    A 0.3Nm )"'6-* ( t fo/[ :

    Q'r't{tt

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    X0 The diagrambelow showsa block of massm on an inclinedplaneat an angle0 to thehorizontal.

    $f'If p is thecoefficientof frictionbetweenheblockand heplane, heminimum valueof Frequiredo prevent he block from slippinedoyis

    \ , /. A mgsin0 B pmgcos0 /^tsinO-p,cos0) D mg(sin0+pcos0)

    ll If theradiusof curvature f a corners r, themaximumspeed f a carrounding hecornerwithout sliding is directly proportional to

    , . n, .)- ,0 Alt '\,// ( x f\v'\ . ' (

    l .

    *u\ t' Dr '

    '{ r[ '

    1A2r

    IBrNT

    A particle of massz is performing a simple harmonic motion with amplitude a. If theexpressed s

    {il A"atCta -w

    {-BeD

    ' ^E L 6; ' I f E 1 f2E< - zn\*o B ti l; l ;e A;GaafrI- 13 A block s pushed distance 0m alongaplanehorizontal urface y a forceofmagnitude 0N. The frictional orceopposingmotion s 60 N. How muchof thework done sw ' "oiu"rted to heatandhow much s convertedo kinetic energyof the block?

    Heat J200200600600

    Nort' d*-btwl vu4r,krl,*'r|- e ,

    Kinetic energy J600800204800

    .n N*f6 -?d't;* Pu!^** t h'^

    1 Sur/tot6"u' I 'h/\, '1' 6vvi - w8'

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    --> P,'4utr*1"'w4-* &r914 A communicationsatelliteof rnassm moveswith uniform angularvelocity a in a circularorbit of radiusr from the centre of Earth.What s thework done by the gravitational force on the satellite n one revolution?

    Zerc \ 2mnr2 o2 C ,t*r3 ai D mrt at

    , ?s 7s,

    'v{[e5 A particlemoves uniformly along a circular path.Which of the following correctly describe he linear velocity, angularvelocity and linearacceleration f the particle?$-C0

    linearvelocityconstantalways changingconstantalways changing

    Angular velocityconstantconstantalways changingconstant

    linear accelerationalways changing Yzeroconstant \always changing lFffi' "hurt^l

    6.- ohonull6Anobjectofmassrnisraisedfromtwherert istheradiusof theearth. f the massof the earth s M and hegravitational onstants G, what s thegain n ..- ^ _cs.tn

    potential nergy f the object?,/-a_.^y,,/ t . t \ ho GY! 6GmM n GmM ,2GmM ( ' )--ati ^lzn \-/. 2R \ Rzif r . zn w.2R \ R v R

    l7 The gravitationalpotential energy Ep of an object varieswith distance from the centre ,1of a planetas shown in the diagram below. 02;

    n4A firavitational potentialat the distance .B'/Gravitational field strength at the distance .

    $ for.. that pulls the object towards the planet.'P Accelerationof the object owards he planet. Y 6_2,VV

    (^f7 'uft^*/ l

    \06'/'1

    6WWhat quantity is represented y the gradientof the graphat arrypoint? h

    tLvw^,

    f-

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    ta -(r' ) . 4rr.7 y,_/

    ,/ The figure below represents he simple harmonic motion of a particle in a progressiveve that s movingwith speed .0km s-r

    \fl"t', !N{ ' , (

    Time / ms ... AI n'hF- .7 to')u^" '- t4 ql\? {' ' l.u(ot ov'100 Hz

    t9

    B 7t \\l. c2

    a mm s-"' t6 8 0 -8 -r6x/mm -4 .| 0 2 4

    n1 ^/3t (X it4 uYJ

    v\t ?- or''t' lb,vu' A

    n.. I .,,,, ,v\, t

    v,4)n

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    A resonanceube openedat both ends and having a vibrating tuning fork placed

    =-:----,/\. / \_-/ \_

    near onelend,//M alwavshas a node n the rniddle./B alwavshasan antinode n the middle.

    -/ C alwayshasan odd total numberof nodesD alwayshas an odd number for total number of nodesand antinodes22 An(f,ea-\gascontained n a cylinder with piston is allowed to expandpressure 1 ilvolumeVz andpressurePz. Its temperature s kept constantalldoneby the gas s

    ot'J\from volume Vl andthe time. The work

    A zeroo ecauset obeysBoyle's law and soPzVz P1V1: g fl \ VlB negative,because he pressurehas decreased nd therefore he force on the piston isdecreasins/' zero,because he gas s kept at constant emperatureand thereforeinternal energy s' unchanged. h .r6,O;positive,because he volume has ncreased. k+f ua/ '

    23 A sound wave with amplitude 0.20 mm is of intensity 3.0 W m-2.What is the intensityanothersoundwave of the same requencybut has amplitude 0.40 mm?A 6.0W m-2 B g.0W m-2 .l2w m'2 D 15W m-2

    24 The diagrambelow shows a solid rod and a hollow thick cylinder having the sameaxisand of the same ength, eachhaving crosssectional areaA andM respectively.The spacebetween he rod and cylinder and the outer layer are nsulated perfectly. The endsofthis arrangement remaintainedat temperature& and 02.

    insulation **'JnSolid rod

    HollowcyliIf the thermal conductivity of the rodof heat low alons the rod is W.what and the cylinder arek and3ft respectively and the rateis the rate of heat flow along the cylinder?

    ; ( t 'V" '

    \ ro. .96.hJ ' 'or ,11'-ofY 'fln

    tln6aID -t4/6aJB -W26W

    #"*o#W

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    NsThe averagekinetic energyof the moleculMan ideal gas n a container of fixedhas been ncreasedby 4 times. What will happen o the pressureof the gas? f - \{l It ncreasesv2 imes Y; - . f?. , I ( V

    qt$,-

    Mf\"+r ) .', , \5 .- \[qS t"r /\a ,'\'1s

    \,

    n{ehasbeen ncreased y 4 iimes.What will happeno the r"rr.rr. of thegas? f ,},' \L't /!/ It ncreasesy2 imes \ ' / )fh ,u l( VX lt increasesby4t imes (, ,Of l \ | )nn' ) Uy/C It increasesy 8 imesf ( j ! I \) L''- / VD It increasesy 16 imes U/ (,..Whichof the ollowing tatementsbout lectric otential'isalse? V, ,K*t ,,A It is a scalaruantity. r'\''- $ M

    *9,/ ^a l tsunit isJc: t . - ' NS /. \ ' \

    a I lt_is efined s heenergyequiredo ransfdrC chargerom nfini ty o a certaiy/ :1 ' \ l /\ / .pornt. . , : / lD( Itsvaluedecreasesf apositive estcharges moved gainsthedirection f an ' \ IV electric ield. ,/f \/An isolatedhollow conductingsphereof radius is chargedpositively. Which of thefollowing is the graph of electric field intensity E againstdistance x from the centre of thesphere?A

    w D

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    29 A wire with uniform cross-sectionalreahasa resistance f R. The wire is stretched othat ts length s increased y l0 %. Assuming hat the wire becomes hinner unifolmly, L"its newresistances gl\"t14N^ (0 Iu0.83R --( RB 0.90R

    30 A direct current of 3.0 A flows from S to T in a circuit as shown in the figure below.

    [E'o 1ut)

    b lr t * clan.. . , . -otr , '+n' f )Yr,

    What is the resistanceof R ?Alo\n/sat_^

    c r5f,D I8O31

    32

    Two long parallel and free moving conductors are placedat a distanceof 3 cm fromeachother.A direct current of 2.5 A flows through both conductors n the oppositedirection. Thev willA // remainstationary. C>a moveawaY romeachother. I)( / 'The diagram showsa horizontal piece of copperplacedcurrent1 flows in the copper n the direction as shown

    move towards each other.rotate n a clockwise directionin a verticalmasnetic ield. A ,h

    !rn'0vwCurrent,

    The Hall voltage produced n the conductor is independentof

    ^/ charge carrier density n the conductor.J){ length ofthe conductor /'/ g magnetic lux densityof the magneticfield. J

    .,1*Masnetic field

    D temperatureof the conductor

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    33 The magnitude of the induced e.rn.f in a solenoid increaseswhenA , a magnet s movedslowly owards hesolenoidB/ the solenoid emainsstationary n a uniform magnetic ield.

    J D the solenoid and a magnetmove in the samedirection and parallel to oneanother.

    / ,0,r n rc.olr2'1",r,,u1r)r.

    . tr 'ot'35

    tA 1-

    The current 1 leads he voltage V by

    radians

    B n radians

    zero% cvo2

    A non-invertingamplifier containsafunction ofthe feedback?To increase he gain.To increase he effect of distortion.

    36 A sinusoidal alternatingvoltage V: Yo sin rrrl s connectedacrossa pure capacitorofcapacitanceC . Maximum energystored n the capacitor s

    oDq-I

    \B

    37

    /-

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    38

    Mechanical waveA Can propagate n vacuumB /Has high frequencyC / Loneitudinal wavesor transverse aves\- /)a Propagatewith speed ower than\-/ the speedof light

    Electroniagnetic waveCannot propagate n vacuumHas ow frequencyLongitudinalwavesonlyPropagatewith speedequal tothe speedoflight

    (2f,2f)(4f ,4f)

    39 An object is placed l0 cm from a concavemirror having a radius of curvature 40 cm. The imageformed is3.5 cm in front of the mirror and s reduced n size.V*,t+^.v*r'e l'n''

    '/ro'Thefigure represents graphofimage distance, , againstobjectdistance,u,for aconvex lens offocallength,f

    6a Y$ t

    ABc

    \-/ 40

    lt lt ,a+Mu $tv

    lct -i ' 2u' n .\* LlV"I

    The coordinatesof point P is tA (%f ,%f)-q ( f , f )

    Intensity of central peakDecreasesIncreases. DecreasesIncreases

    ABL .rtb

    Which of the following is true concerning he difference betweena mechanical wave and anelectromagneticwave?

    \only

    13.5cm at the back of themirror and s enlarged.20.0 cm in front of the mirror and s reduced n size20.0 cm at the back of the mirror and is enlarsed.

    0@4l What happens o the diffraction patternof a single slit when the slit width is reduced?

    Widthof dffiacfion patternDecreasesDecreasesT-IncreasesIncleases

    J\h(r , f . t*"i I 'f rd'Y ^ '},

    1[0t\0

    \/t

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    lt{--c\r* c(\ , r ,u,q

    rc'' 't)Ci=t).A.0, [,] 4 o(o'w) -O'(u' o tt"'/Urt*t!\YY : [/ t e(r.6'e'h0;'o L-- q nl

    O The surfaceof a lenscan be madenon-reflectiveby coating he lenssurfacewith a thinlayerof transparentmaterial. If 2 is the wavelengthof the incident ight in the medium,the minimum thickness, , of the material equired s #fr!* {t3:{n t '7A 84*ts.

    when a metal surface s illuminatedwith light of wavelength520nm, the stoppingpotential equired s 0.80 V . If light of wavelength1" s used the stoppingpotential s I .58V.what is the value of l, ?9 3e2nm ,\'i l-/ F 2z',1::t,\2 \r, r'1"B 5e2 m ',/r$ / D 684 m' v t* N

    44 . 6.If de Broglie wavelengths f eachof the following particlesare he same,which particlehas he,,r\ V oreafest sneed?

    cL 2,.4 \ fu,o4r

    nn)h

    ! r ,u &;t$tus

    * protono, particle

    13.6- - l - eV where :1.2,3,. . . . .n'nd state o the first excitedstate s10.2 V13.6 V

    highly focusedmonochromatic

    The energy levels in a hydrogenatom are given by E :The energy requiredto excite an e{ectron rom the gro;r

    /A 3.4eY VB 4.5eV 6

    {&what happens hen hepotential ifferencen an X-raytube s increased? h2toMinimum wavelength, l^;,, Intensity of continuousspectrum' DecreasesIncreasesIncreasesRemainsunchanged

    a{\t4'pcDt / Increasest/t , U ,' rRemains nchanged,i y' IncreasesDecreases

    47 The following are characteristicsof laserexcept/A/ coherent

    -F highly divergent/

    I

    CD

    43' ov*2rnr l llv ---

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    48 The half-life of a radioactivenuclide is such tbat T+of a given number of atorns n a sampledecays n 12 hours.What fraction emainsundecayed fter I B hours? n, NQ'n- t f ,

    oBABc/r=xX,DVV

    fl I1At ti ; , ,r

    r llvr ''n

    -t8I2

    qD

    ,1. ".B14

    Which of the following radioactivity is not likely to occur?23 090 Th ---->227g9 Ac -----t33'* _+23811v ----------)

    Which of the following are leptons?A proton and electronB proton and pion

    33u*"+ a-particle'n3' n + B-particleJ31t*" + c-particle33n*o+ B-particle

    o*":, th" ' '- tr* l(rc)l - \6,tQk,. o'(vr+'

    I81v -------t7I---_-,r

    / sigmaand au

    "Fmuonandneutrino

    ---1I

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    PHYSICS

    PAPER 2(2% HOURS)SEKOLAH MENENGAH KEtsANGSAAN SILAIMAN28700BENTONG PAFIANG

    TRIAL EXAMINATION 2OO9UPPERSIX SCIENCE

    NOTEIn addition to this paper you will require the following itemsl. Calculator 2.Data Booklet

    List of funda fouental nhvsical constants nd in the Data BookletSpeedoflieht in free space c =3.00 10" ms-'Permeabilitv of free space u ":4 n x l0- 'H m-'Permittivity of free space e. = 8.85x 10-rz m-r t l(36 n) | x l0 -' F m- tMaenitude of electronic charge e= 1.60 10 "CPlanck constant h = 6.63x l0 -' " JsUnified atomic mass constant u : 1.66 10-" keRest massof electron m"=9.l lx lO"ksRest mass of proton m"=1.67x10-" 'keMolar gasconstant R=8.3lJK-'mol- 'Avogadro constant N a d.02 x 10" mol -'Boltzmann constant K: 1.38x 10-" J KAcceleration of free fall G:9.81 m sGravitational constant G = 6.67 x 10-" N m" kg

    \.r"

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    Section A [40 rnartr

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    tr ,' *tr' h'J'3 A plane progressivewave s represented y the equationy:0.4 sin (30 t - 2x ) wherey is inmetre, I in second,and x, the distance rom the source n metre.

    (a) Calculate he frequency of the wave.Lfi fL = 104,v11f, 3o+--U $,

    ' * '74s- ' , / |(b) Calculate the phasedifference between wo points in the wave which are 15 cm apart.

    !, A &n tt' ftJf o.e v ('toL 2t') ' ./r

    ;[2 marl

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    5 A rnetal wire of length 0.57 m and is situatedat right angles o a uniform magnetic field offlux density 1.8x l0-3T, as llustratedbelow.

    lctromagneticforce on ylirexx

    x,

    .:( ,(xxXXxx) rxxxlx

    magnctac iBld dirgclrd, into Planeof paper

    -/

    Themassof the wire : 4.51x 10-3 e.The resistance f the wire : 0.05 OA potential difference is appliedbetween he ends of the wire so that thereforceacting on the wire.(a) On the diagram above,mark the direction of the current in the wire.

    is an electromagnetic

    ll markl{b) Calculate he potential difference requiredbetween he endsof the wire for the electromagneticforce on the wire to equal ts weight.Wv Mg: x[ - / (

    (u.st'no,?}6( 4at)-1 11.r*ro'7).

    a L.r6 v , 13marksl(c) ThehorizontalcomponentoftheEarth'smagneticfieldis.8x 10-5T. tate0"*rAr, Iin practice, urrent-carrying iresarenotseen o lift off theground.

    Tl* [orc ucdrt h, (u,'rr^4'cowy't42t'4r )t rivl luoush 4 lrk of+ tl' gnt'nl .

    " ; v(hrfuq (v-- iT

    -7hs. s(e,t-na9y*,-,,rrt- ao/uYr' lu lry w* e1*)a (uvttvt uJ tA \ s o'(, ['"Y vlitn]

    - t lr, ,D*-> [,[u\ f. k rn'a'[n w &"' rfu'tqt '/

    (-)

    '^l

    a/ (* (hl L-r r l

    ll marksl

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    6 An unpolarisedight of intensity1, is incident along he directionXY on two piecesof polaroidsPandQ, which areplacedso hat the directionsof polarisationof P and Q areparallel o each other asshown n the figurebelow.

    (a) State n terms of .I, the intensity of light emerging betweenP and Q.I r , ll markl(b) Determine the angleof rotation of Q so that the amplitude of light emerging from Q is half of

    the amplitudeof the unpolarisedight.

    tl L i, {'l* Y'f'otIib+ Gtlf V ttvtavTrr,"r- 0"

    1". To( I"n)"

    (L)L"0rgu

    " torn 0.S.v Totv9'

    p '() 'cot

    , 6ooof rlnrsd 26|)c

    t , -\ ro, 'b'l , '1 f ' rotW -b v

    T. 4,:frt'1"1'j , r (+)--o+v=++vTo, 4t- ,Lr( t Ina"v).

    *W f t4martrsf

    I, ' i1}o )

    vp,l^t'

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    A pvh-v v41awlo4th.

    Nortt , ;v lutta\2 1;eln-,h,4 aW(vri fy,y f.rav"rO a p-^b4LJ

    fL, lA"# 6.a3./,r-tq -/ ,- Jr/ |speed qual o l0%o fthe speed flight.

    (o't ) (3,atltos)t. gty,n.9 t' ,l: l , t l Yt i ' t r t ' t $Y t3marks)A fusionreaction s represented y the following equation.

    lH * lH -*----+u + iHMass f deuterium,H:2.014102u

    Massof trit ium.?ff : 3.016049

    Massof hydrogen, H: t.OOZSZs(a) Calculate he energy,n MeV, releasedrom the fusionreaction.

    o.-.And . ,B*Io 'e na;tn\^ ' z(L '0 14 ov)n ' - 4 'o?|LavLWFtl ' i l r l-- . . - .o f(1\ ' t t [ Iq, t iqAs* : i 'o l6o4c,u + 1'ao|$LSu = ('o t ' !gT4 nt ' 'vl

    z'r"oot( tr" tr in) d*W" l+.0 Jg4tr vr - b.ozg Ltt4u z a*4#-+r 4-a 0 4 l)u. -- ' rt.b.b*,on!.*#;rrns)ortv l1 t^t ' - 1#54+ kff i . , | , . ,zMj(b) Calculateheenergyeleasedrom he usion f 1.0 gof deuterium. -/ ?-+ffir >-4.oLt i l t t lt^eq. -b. tq i l r : . -a.+S+ / t .237 .

    I1.6 fo-, f t

    t^)) u],q olru4e"rvlil-fti Y f2martcs]: 2- t.o fetoL'r . t t '110' 'u ' 2 [ + I / t ' t ' i lV '

    t fy tt isr6^-rln^'(/>u-f f i t roL ro* . /h( '

    iLt ; pl4tvt hrzilor,l.tt tovtxar,* ." r " " ' " " "7 ', / 12marrcs]l(b)Calculatethewavelengthofpartibleofmass.B2x 10-28kgwhentravellingwitha

    l -8rr-o'

    llctu

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    (a)

    SectionE[60marks]Answerany four questionsn thissection.

    Define he ermmomentof inertia of a rigid body. [2 marlcsl

    (b) The diagramaboveshowsa disc of radiusR and massMis mountedon an axlesupportedn fixed frictionlessbearings.The momentof inertiaof the disc about ts axis s ! rp2A light inelasticstring s wrappedaround he rim of the discanda steady ensionZis exertedon thestringby a falling mass n:2.5 kg.

    (i) By usingNewton's aw of motion, write the inearmotion equationof the mass.fi markl(ii) By usingNewton'saw of motion or rotation, rite he otationmotionequation f

    the discabout ts axis. [2 marksl(iiD Prove he expressionor the inearacceleration ofthe disc s

    ( zm )"=1, 2*(iv) Hence,derive heexpression fthe tensionTinterms of M, m andg.

    (c) If the massof the discM = 500g and radiusR : 0.25 m,find(D the inear acceleration fthe disc.(iD the angularacceleration fthe disc.(iiD the ensionofthe string.

    ^ rtt-)fi $lrl l'nnr '

    13marksl[2marks]

    12markslI markl12marks)

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    10 (a) Sketchgraphsusing he sarne xisto showhow the potentialenergyU and he forcehetween wo atornsX' dependon the separation of the atoms. On tne graph, abel the equilibriumseparationo. {3 marksl(b) The potential energy [/ between heequation

    is representedy theN.

    tX,Wforce F and potential enerry U13marksl

    [2 marksl

    14marksl

    t r A Ba J =-- --t)6 r '- r-

    two atorns n a solid,wr.\

    \J\ ,.dh'here and B are constant nd r is the nteratomicseparation.(i) Write an equation o show the relationshipbetweenand hencededucean expression f Ffor the two atoms n thesolid.

    (iD Determinehe equilibriumseparationobetweenhe atoms n termsof A andB.(iiD What s the minimumpotentialenergyU6n n termsofl andB?

    State hephysicalsignificance f Un;,.(iv) Find the separation f r at thebreakingpointof the solid in termsofl andB.[Breaking point is where he two atoms areseparated ompletely] 13marlcsl

    [3 marks]1 (a) Define hermalconductivity rand state ts SI unit.

    II__-_*-_

    (a) (b)(b) The diagramaboveshows he Lee's method o determinehe hermalconductivity t

    of a glassdisc of thickness . At the steady tate,he readings f the hermometern diagram a) are&and &.

    (i) What s meant y steady tate? lt martcl I*I0/(ii) Why heglassdiscusedhas o be hin with a argecross-sectionalreaandneednot -, (f,to be nsulated? {3marksl S'

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    t ls ol 'c0 80.010 76,420 73.230 70.240 67.850 65.660 63.670 61.880 60.2

    (c) The change f the ternperature with time r of thebrassbaseas shown n thediagram b) is as ollow:

    (i) Draw a graphof 9against .(ii) From hegraph, ind thegradient t 0:72.5'C.(iii) Calculate he hermalconductivity&of the glassdisc.Given:

    $11*

    Temperature:72.5"CTemperature:99.4"CDiameterof theglassdisc d: 12.0cmThicknessof theglassdiscx : 2.00 mmMassofthe brass as em: lSkgSpecificheatcapacityofbrass c = 390 J kg-Ioc-t

    \^n

    12marla)13marksl13marlal

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    \% , / rJ' n(\'\ rSV .r$r t)'lv9\^ds-,bltft'"'

    ( l ' i Po')

    \ ,

    \, o("

    {v

    ndn 'u).{'\\'lt "lr"t \tf

    N\$ ," \uC\ut$(rr*F

    \ ."

    tv5

    \t/Y"

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    t2 (a) The diagrambelow showsan enclosed pace ontaining ive differentcharges.Enclosed \surface I qu\ \ {$s $t, *J.'

    o: tu6t/gt

    $(i) What s the numericalvalueof the total electric lrx through he surfaceof the

    enclosure? ame he aw on which your answer s based.Statehe unitsfor your answer.13marksl(iD How will your answer o (i) change f the five charges regroupedogetherso hat

    they are very close o eachother? I markl(b) The diagrambelow showsa hollow metal spherewith a positivecharge+Q at itscentre.

    MetalShellCharge+Q

    6k'sfrL 14' '

    Hollow p"'))rMetal Sphere

    (i) Copy his diagramn youranswer heet ndshowqualitativelyhedistribufion f chargeson the sphere. [2 marks]

    {iD In the samediagramas n (b)(i) , draw he electric ines if any, nside he hollow part nthe metal shelland outside he sphere. ndicate hedirectionof the field with arrows.

    (c)

    [3 marks]Basedon the electric ield lines drawn n (ii), explainwhy the outersurfaceofthe sphere I'is known as an equipotential urface. [2 martrsl 5 0/v'

    In (b), the chargeQ is 5.0 pC and he outer adiusof the spheres 4.0 cm.(i) What is the electric field strength at the surfaceof the sphere? [2marks](ii) If another5.0 pC of negativecharge s placedon the surfaceof the sphere,how will the

    b

    (iiD

    \

    vL

    ,t-,\. - - @5pCO+pc O trrcO ,trc o:pc

    \;

    eleckic ield in the hollowpart nside he sphere hange? xplainyour answer. 12marlcl

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    13 The graph n the figurebelowshows he nitial X-ray spectrumobtained rom an X+ay tube.lntensity '1',

    * -{nitial X-ray spectrum

    Wavelength(a) Copy he graph including abels) rom the figure aboveandsketchon the sameaxes,a newX- ray spectrumor eachof the cases elow.

    Xmin

    (i) The filament current n theX-ray tube s increased.(ii) The potentialdifferenceacross heX-ray tube s increased.

    12marksl12marksl

    (iii)The target elementof theX-ray tube s replaced y anelement hat hasa higher atomicnumber. ll markl

    (b) Give reasons or the changeso the nitial X-ray spectrumn the figureabove or eachof thecases n (a), (b) and (c) 13marks)(c) The atomicenergy evels not drawn o scale) or molybdenumor several ransitionsareshown n the following figure.

    0.0keV-0.5keV

    -2.6keY

    -20.0 eVIf molybdenums usedas a targetelement n an X-ray tube,calculate(i) the corresponding avelength or the Ko transition. [3 marla](ii) the minimumpotentialdifferenceacross he X-ray tube required o obtain heL line.

    12marksl(d) If the electrons n theX-ray tube are accelerated y a potentialdifferenceof 100V, determineby calculation,whetherX-ray will beproduced r otherwise. 12marksl

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    il4 (a) (i) Explainwhat s rneantby radioactivedecayandactivityof a radioactive ource.f,2 narlcsl

    (ii) Define hehalf-life of a radioactivesample, ndshowhow half-life is associated iththedecayconstant. {4 marl