SERANGOON JUNIOR COLLEGE General Certificate of Education

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    SERANGOON JUNIOR COLLEGEGeneral Certificate of Education Advanced LevelHigher 2NAMECG

    Hfi*INDEX

    PHYSICSJC2 Pre 'A' Level ExaminationPaper 2 Structured QuestionsCandidates answer on the Question Paper.No additional materials required.

    974510212 October 2009I hour 15 minutes

    READ THESE INSTRUCTIONS FIRSTWrite your Civics group number, index number and name on all the work you hand in.Write in dark blue or black pen on both sides of the paper.You may use a soft pencil for any diagrams, graphs or rough working.Do not use staples, paper clips, highlighters, glue or correction fluid.Answer all questions.At the end of the examjnation, fasten all your work securelytogether.The number of marks is given in brackets [ ] at the end of eachquestion or part question..a-(} \l\a v\^a^aff.^---+ \.&

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    2DATA AND FORMULAEDataspeed of Iight in free space,permeability of free space,permittivity of free space,

    elementary charge,the Planck constant,unified atomic mass constant,rest mass of electron,rest mass of proton,molar gas constant,the Avogadro constant,the Boltzmann constant,gravitational constant,acceleration of free fall,Formulaeuniformly accelerated motion,

    work done on/by a gas,hydrostatic pressure,gravitational potential,displacement of particle in s.h.m.,velocity of pa.ticle in s.h.m.,resistors in series.resistors in parallel,electric potential,alternating currenUvoltage,transmission coefficient,

    radioactive decay,decay constant,

    3.00x108ms14r'x107Hm1B.B5 x 10-12 F m-1(1 / (36n)) x 10 e F m-11.60 x 10 re C6.63xlo34Js'1.66 x 10 27 kg9.1'1 x 10 3r kg1.67 x 10-27 kg8.31 J K l mol-16.02 x 1023 mol l1.3Bx1023JKl6.67x1011 Nm2kg 29.81 ms?

    dv

    ehumeRkGs

    T

    ut+%afu2 + 2asplvNhGmxosin (DtVo COS.tt! u,,l\x; - x' )R1 + R2 + ...1lR1 + 'llR2 + ...Q / 4neorXosinar aexp( 2kd)

    x6exP(,it)0.693l1

    2

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    31 lal Define acceleration.

    V 6rL {\ c)^4.-ft 6l. .....................d...... vila\"q

    14,rd^b-{+t]r,1'e*h*Jhlt'r{i!'6 fr"6L\^ 11

    ...... ...... .................... t11/ 1f14 cnitO is jumping on the trampoltne as shown inf _/relocity y of the child with time t is shown in Fig.taken to be positive displacement.

    -/fit

    v/msrFig. '1.1. The variation of the1.2. The downward direction is

    IJ +ut

    /Ai Y.d

    Fig 1.1 Fig 1.2

    State the child's position and direction of motion at points O, A, B, C and D in thetable below.Points Child's position Child's direction of motion

    o Wa/,'{+ (iv{ v 6^v Fftr-1","-o* 1 '1r-6i *tt otow k""t"^ tL

    " i"r-\ poti^

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    4A simple iron-cored transformer is illustrated in Fig. 2.1.

    lfon core

    primary coil

    Fig. 2.2 shows the variationtra n sfo rmer.Fig.2.1

    with time of the

    secondary coil

    magnelic flux linkage in the core of lhe

    magneticflux linkage/e\)

    (a, Deline magnetic flux linkage.

    lime / ms

    Fig.2.2

    ... 11l97 45l02lP rc' A' Levell2009RJC 2009 lfurn Over

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    5(b) Sketch on Fig. 2.3 the variation with time of the e.m.f. induced in the secondary coil

    induced e.m.fr),-a - -r+

    trme / ms

    Fig.2.313l

    (c) The iron core of the transformer has a cross sectional area of 3.1 x '10 4 m2 and themaximum magnetic flux densaty in the iron core is 0.55 T. Use Fig. 2.2 to calculatethe maximum e.m.f. induced in the secondary coil with 3 turns.,-r JA , \It/ = ii _- --{ rts,+w Jrl { - , aB=lw:t- ---rll -- J,l rru ,I 5 (

    5 e. S{z V

    maximum e.m.f- induced = o. fl 2-

    0'Y f *o( x ro-3

    v [2](d) State and explain the effect on the maximum e.m.f. induced in the secondary coil ifthe iron core is replaced by one made oi wood.

    l7') ggJ4- ar\-{ \xtr( gsp pswv-n2t-a { Y119r ftyl 9-k ; .it"'I2l

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    7(a) The student claims that lhe curve of Fig. 3.2 may be represented by the equation

    Y-Yosinutldentify two features of Fig. 3.2 which show that the student's claim is incorrecl.t S, q.?..*{ .^"1 .faY. d-": .*::. gn'if:::i..!0- .H#.y.|!q Z "a "^tio*)'''L/ t /"" '

    (b) Calculate, using data from Fig. 3.2, values for(i) the angular frequency of the oscillations,

    { = (.sc\r )tru=f = jt = +rf valr-'angular frequency = . ....*:.i.1 . rad sj 121

    L4 -- 1 , -> e,v,t1a[=rrurX

    = -'k,L$-t-9. -l= + j& . 6 q^^f

    (ii) the acceleration of the end of the ruler at time f = '1.5 s. Q,- ) 4Zwt'-et'; t(ate- w.- fr-(|-t4uzG*e1; o- * t,

    M (,."4 l;:-;a'1,--'''acceteration = .. .tS:9 . .... cm s-2 12;

    (c) The card on the ruler is replaced with one having a larger surface area and the samemass. The experiment is then repeated.On Fig. 3.2, draw another graph to show the effect of this change on the variationwith t of the displacement of the ruler. l2l

    SRJC 2009 97 45l\2l P te' A' Levellz01g flLrrn Over

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    8(a) For a system of forces acting on an object, where the rines of action of the forces alrpass through a common point as shown in Fjg. 4.1, state the condition necessary forequilibrium.

    Fis.4.1VQ,fr- * {la *d".--,- "^n:f 9 :- *tv yac'- L. e*

    t2l

    by each

    N [3]ltum Over, {9+ d!{dt= ."G 11.rila

    'tof} ,o kg sphere of uniform densrty rests between h,,/o- eig. t.z.(i) On Fig. 4.2. draw a free-body diagram of the sphere.

    (ii) Determine the magnitude ofplane. the force acting on thefi"- 50" - >a"1-k1*!"i co( 60" - e

    sphere exerted

    -rD

    t{1'

    Nt gv >'r' + iletr/6 ,rt X" . ,1,,r - rVr oc6r:"lv.d * i." t#x"

    O , ! ttb- *r^ ,-. force due to ptane A =- r{C}or, force due to plane B ={ NS 6.60" 9745/02lpre A Leveu2ooq: >o r 1,C1

    ft* Qf ,e"LC "b

    sRJC 2009

    -o qq (t I"

    smooth planes as shownr.!u N4

    K"-':"ov.t-.-jCwav< fio;3 tr--r- .Plane B

    ,,/o! +'"t tlni

    g MB(g*#)4:*e.\-bo"),&^1.91 ->Ns- tr|rl 4.

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    I' 5 fa) Microwave ovens cook food by generating electromagnetic radiation that gets\--,/ absorbed and converted into the internal energy of the atoms and molecules of thefood. A device called a magnetron emits electromagnetic radiation of frequency2.45 GHz frcm one side of the microwave oven. Standing waves are produced in theoven's interjor. Fig 5.1 shows a typical microwave oven of length 36.6 cm.

    magnetro

    \ b^r- vtc'

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    10(iii)Explain how a standing wave may be formed in the inlerior of the oven.

    9?-l,-t''o-r,-0,".o',."c

    iu i |ur,J(/'t{o(1" \latll\"d 31'\"-r-,{4 "f

    E_t4,X+q\a".a,,, Energy of the original wave

    : Wfl:-o? ?:::"\' V w^iua'oav< {1r,o r.- r: '^r a*d ,,\

    tuJ tov,- a (-(a+iol,^-o-c LJi'- x;'-"+.r^.r e- .faG{ aboQ tvJs.

    (iv)To cook more evenly, the food needs to be rotated using a turntable inside themicrowave oven. Suggest a reason why this is necessary.l" oJa-q pphnio*, [b a +r-."4ut ,),.vo ti7,,ov^- ar.

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    '11Light is incident on a clean metal surface in a vacuum. The maximum kinetic energyKEnax of lhe electrons ejected from the surface is measured for different values of thefrequency fof the incident light.The measurements are shown plotted below in Fig. 6.1.

    KE na, t .lo'Ie J 1.0.

    tl'l0.040 ;1,5

    2.0

    (a) Use the graph to determine(i) the Planck constant.

    5.5 (r.0 6.5 7.0 7.-5 8.0f I 1o1a Hz

    Fig.6.11.1 = L* re.-"KE*n = L{ --9-pfauck {,)r^--r^^j L- x,."="+ db(lL

    Js[2]

    1.5

    ().5

    5.0

    j

    Planck constant =(ii) the work function of the metal.i**-vF o.'^ x--*t . .F" = ,r. g5 , O * *{Z\ r"

    ) rV.9r r ro S' work function =9745/02/Pre'A' Leveu2009

    v,rM,.44-@,

    u,.1.,^- kt=o /g -Lf. __i.. hi" -4J t21

    sRJC 2009

    4 -Lf"

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    12 juwffffi,:.(b) Explain briefly how Einstein's photoeled'tric theory accdunts for the fact that noelectrons are emittedJbh-me suifaa6- RG-fretaj if the frequency of the incident/ light is less than a certain value.l@/ - it -

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    14(a) Suggest why

    (i) the experiment is conducted in a vacuum,tl -I)L-+LLL- at- W

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    3l

    and lg N are plotted on the graph ofitome correspondingFi9. 7.4.15

    values of lg (sin

    -0.18 -0.16lo tsin f: / o)l'2

    14 (s.^g) '-'.).d '', != &fooo- - o,.L\t t21(? N " t,1,

    -U... . . L . . . . . . . . . . . . . . . . I2l

    4

    -0 32 0.3C -O.2A ,0.26 -A.24 -0,22 420Fig.7.4

    (i) On Fig. 7.41. plot the point corresponding to 0=72o,and Gf g=+>o2. draw the best-fit line for all plotted points. ld (hkA\tv

    (ii) Determine the gradient of the line drawn in c (i) 2.( N= k(s-g)*)) taN=(qt + k(q(s"a),/ J ' d d '// ' .'. +, "l:

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    16

    (c) The experiment is repeated using target foils made of 3 other different elements_tungsten (W), iridium (tr) and platinum (pt). The resuits for the angles between 650 to74o are shown in Fig. 7.5 together with that of gotd (Au).

    PtIr

    6500013

    Without drawing a further graph, show that, a\ 0 = 7Oo, the value ofproportional lo 7, where Z is the atomic number of the target foil.Zr^, =?t , nn, = +l\1"

    :?+ , Nr-"= N:-=i-= X, Ntr=- .,. Nlr

    3-z-q'* - t], N/^^'v t 2 "-1arJ

    65 69

    Fig.7.5 e/oN is directlyThe atomicVo.Z'

    c L*-'. il^ )?-g =+,co:

    4r

    t3l

    N i\ l)l-F 1_1fr

    l.II.Ev t'i \ itl

    l + st l Ll I] jl+Il L il

    sRJC 2009 97451O21Prc A' Level/2009 lfurn Over

    k

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    17(d) The overall relationship between N, Z and I may be expressed as

    wherekisaconstant.Suggest two quantities that determine the value of k

    N=*z'1".f,)'LW**Lt

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    SRJC 20tr9 91451A21Pt. A' I evel/2009