stpm trial 2009 phy q&a (johor)

8/14/2019 STPM Trial 2009 Phy Q&A (Johor)

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CONF ID EN TI A L '

JABATAN PF./A.lARAN JOHOR JABATAN PELAJARAN JOHOR .IARATAN PFJ.A.lARAN .JOHnR .lARA TAN

JAB, 96011 V JOHORJABAT , PERCUBAAN STPM 2009JA B , VJOHORJABAT IJABATAN PELAJARAN JOHOR JABAr.. 'JR JABATAN PELAJARAN JOHOR JABATANJABATAN PELAJARAN JOHOR JABAT! 'JR }ABATAN PELAJARAN JOHOR JABATANJA8ATAN PELAJARAN JOHOR JABAT! 'JR JABATAN PELAJARAN JOHOR JABATANJABATAN PELAJARAN JOHOR JABAT! 'JR JABATAN PELAJARAN JOHD RJABATA NJABATAN PEUJARAN JOHOR JABAT! 'JR JA8ATAN PEUJARAN JOHOR JABATANJABATAN PEL-HARAN JOHORJABAT.. 'JR JABATAN PEUJARAN lOHOR JABATANJABATAN PEUJARAN JOHOR JABA'j l JABATAN PELAJARAN JOIIOR JABATANJABATAN PEUJARAN JOHOR JABA'i PHYSICS l JABATAN PEUJARAN JOHOR JABATANJABATAN PELAJARANJOHDRJABA'i/H" ~ ~ , M ' .. - .. . . . . . ' ~ ' I t ?JABATAN PELAJARAN JOHOR JABATA NJABATAN PELAJARANJOHORJABATA'" PAPER 1 JRJABATAN PELAJARANJOHORJABATANJASATAN PELAJARAN JOHOR JAB ATA'" JR JABATAN PELAJA RAN JOHOR JABATANJABATAN PELAJARAN JONGR JABATAN PEI.AJARAN JOHGR .IABATAN PELAJARAN .I0HOR JABATANJABArAN PLA.lARAN JOHOR JABATAN PELAJARAN JOHGR JABATAN PELAJARAN JOHOR JABATAN

In stru c ti ons to candidate s:

MULTIPLE - CHOICE

One hour and fOrty five miDute s3

( 1 - Hou . .4

DO NOT OPEN TillS BOOKLET UNT IL YOU ARE TOLD TO DO SO.There are fifty questions in thi s paper . For eac h question, four sugges ted an

swers ar e g iven. C hoo se one correct answer an d indica te it on the multiplechoice answer shee t pr ovi ded.

Read the instructions on th e multipl e-choice amwer sheet very care olly.Answe r all questions. Marks will not be deducted/or wrong answ ers.

This questi on paper consists of 30 printed pages and 2 blank page.

Thi s question paper is CONF ID EN TIAL un t il th e exam ination is over CONFIDENTIAL

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CONFIDENTIAL 2

1 If u and v. x and y, I and a represent speeds , distances . time and accelerationrespectively. which of the following equation s is dimen sionall y incorrect?

AB

@

X l + y l = uvt]l I ' u 1 = axv = at + y/ /!I X ~ (x + y)/I

* 2 The acceleration of a free falling object can be detennined by a photoelectric experiment as follow s. The object is released at point P and passing through point X and pointY at time Iz an d l y respectively.

p Releasing point

1. Ughtp

XPhoto celly

h

t jLight

0 Photo cellmy y

Earth' s surface

The acceleration of free falling object is

~- =

( + j . t , ) ( t ~ - t , J

h'C

(/ , - 1, )

2h

,2 _ / 2, '

960/1Thi s question paper is CONF'IDENTIA,L until the examination is over CONFIDENTIAL

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CONFIDENT IAL 4

3 The graph below shows how force F which acts on an object changes with time I.

F (N )

6

.. -- ---

2O' : - - - ~ ' - ; ; I O : - " " : - " ! : :2 0" " '1 (s)

101 + ~- - . . . 1( 15

"

If the object move s in a straight line , calculate the change in linear momentum of tileobject.

AB

15kgms '45 kgm 5. 1

65 kg m s '70 kg m s"

4 The figure shows a rod pivoted at point P on a smooth horizontal surface./ .

Two forces each of magnitude 5.0 N acting in opposite direction s are applied at thetwo ends of the rod. The res ultant torque on the rod is

A2.5 N m i t 12.5Nm C 21.7Nm D 25.0Nm

5 Two objects of mass m l and m2 have the same kinetic energy. )fthe momentum ofthe two objects are 'PI and P1 respectively . then the ratio PI : P2 equals th e ratio of

A m, :m 2 p ::. mvp. 1") '1 'B m 2 :m, -::. /1 ' .'C' ,Jm: : Jm;

D .Jm;:,Jm:! 1 ' ,

:;: r l .IJ. ~ i n ', \ I ;

%011*This question paper is CONFIDENT IAL until the examination is over CONFIDENTIAL""

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l ~ ~l , L ~

-, ,,; 1n ("2tJ


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CONFIDENTIAL' 8

10 The escape velocity (that is the minimum velocity for an objcct to escape to infini7from the Earth) for an oxygen molecule from the surface of the Ea rth is 1.1 x 10" m s' .What is the e scape velocity at a height ofO.2Rs above the surface of the Ea rth , where REis the radius of the Ea rth? I " ) . &Mft{

J.P'lV : rA@CD

O . ~X 10 m 5. 1

I.Ox IO" m s"I .Jx IO"m s 11 .~ x 10" m 5. 1

11 An object moves with simple hannonic m otion. Which of the following graphsshows the correct variation of velocity with di sp lacement of the object?

A v ,10' 1'1/. B _--"d_V_..,I,,0I:'_I_'_YT::-:-~7 1 D i S J ) 1 a ~ e ment

0Poi s p l a c e m en t

C V e l o c i Co/ Ve l o c i t y

o i s p l a c c m e n l

12 The figure below shows a torsional pendulum which perfonns simple hannonic motion with angular displacement (J.

Torsional wire

loZ -

c. . ~ - '

If is the moment of inertia of the disc about the torsional wire and c is the torque perunit angular displacement acted by the torsional wire to the disc, the period or oscillationof the disc can be expressed as 2.z:.J~

A 2 " ~:0 B 2"Pc f ) 2 " ~ D 2 " ~

96011This question paper is CONFIDENTIAL until the examination is over CONFIDENTIAL

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' \

CONFIDENTIAL 10

13 Which of the following statements is true concern ing an object undergoe s s implehannoni c motion in a straight line between two points X and Y?

A Speed is minimum at the middle o f the lin e X V.B The total energy is maximum at X or Y.

The magnitude of the rest oring f orce is maxi mum at X or Y.D The magnitudeof the linear momentum is maximum at X or Y.

14 A progre ss ive wave is represented by th e equation

y = 0.20sin(JOOnt - ; ) ,

with x and y are measured in meter , and t is measured in second. What is the speed ofthe wave? o . ~ o .20

AB


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.- ,, -

' ': Y . 3K ~ ~

2 , O ~ I O "

,'i'.:;:L-

' r

F-e

A7.

CONFIDENTIAL' 12

18 The graph below shows the variation o f potential energy U for an diatomic atom withinteratomic separation r .

u

l ,oxto" '1(, .. elq.,d eI '< lv " I,

= e ~ '

Which of the following is not a correct deduction from the graph above ?

D

At absolute zero, the atomic separation is ro.

For small displacement from the position of r = Yo. atoms vibrate with simple harmonic motion.The positive gradient shows that atoms repel each other for r >r"I fa quantity o f heat U o is supplied, the atomic bond will be

broken. P ) j - 'J j ~ IA-t+e.) U;,"l --:c t.Yi. iJ4 . A ~ I M l > l

19 A mass of2 .0 kg is tied to the end o f a steel wire which has an original length o f 1.001, and the other end of the wire is fixed at point O. Later the ma ss is rotated about 0 in avertical plane with constant angular speed of 4Jr rad S -l If the crosssectional area o fthe wire is as sumed constant with a value of 1.0 0101 2, what is the minimum exten sionproduced by the steel wire?[Young ' s modulus o f steel =2.0 x 1011 Pa ]

A 0.40 mm B 0.50 mOl C 1.48 mO l

20 Th e figure below shows the relationship bcrn'cen the average tran slational kineticenergy Ek of a monoatomic molecule o f an ideal ga s at absolute temperature T.

a

T

A value for Boltzmann constant can be deduced from the graph above is

960 / 1

a

A ba

B 3bLa

C b

This question paper is CONFIDENTIAL-until the examination is over CONFIDENTIAL

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CONFIDENTIAL 14~ +

21 The principal m olar heat capacity at co nstant pressure Cp,m for a n idea l gas is ~ Rf .I. ] ,The degree s of freed om for the gas molecule s is

A 3 B 4 @5 D 622 The figure below represents the variation of intern al ener gy U wit h temper ature Twhen 5 moles o f an idea l gas i s hea ted at constant vo lume.

t l :l. ~ Cl\) ~

[.C. Co i 'flZif

U/J

~ - b - - - - > ./

ro TiK' r ' ~ 1'F \j

5c'1.j1'{l[:). ~ What i s the valu e o f the molar h eat capac ity o f the gas at consta nt vo lume?

?..

L~ . '

, -

Aa

5B

a

b '9 .::.b D ob223 A monoatom ic gas w ith volume Vand press ure p is co mp resse d isot hermall y un til itspress ure beco mes 3p . The gas later is a llowed to e xpand ad iabat ica lly unt il its vo lume

become s 9 V. 1 y of the gas is ~ what is the lina l press ure of the gas?3

A p B3

C P9

@ ..81

pV.3p \1,

' i

24 Tw o uniform copper r ods R and S are jo ined and perfectly insulated as show n in thefigure be low. Th e length o f r od R is tw ice the length of rod S but the cross-sec tional areaofrod R is ha lf th e cross-sect ional area of rod S.

3lnsulal io n (t -{) , , (3-( ' ]

3 r ( ~ ? "X (qVfKA - =A.n -

>< X

/

InsulatIon

1to -~ ' 2 6 - '; ,02 I

la o -9 = 49 - 2.COIf the free ends of rod R an d rod S are mainta ined at temperatu res 100 DC and 50 DCrespect ively. what is the temperature a t the j unctio n of rod R and rod S?

~ 60 ' C B 67 'C C 75'C D 90 'C

96011Thi s question paper is CONFIDENTlAL 'untii the examination is over CONFIDENTlAL *

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o


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CONFIDENTIAl.. ... 18

29 A 100 ~ F capacitor is charged and later the char ge acquired is di sc ha rged through a

J0 i l l resistor. What is the value of the rati ocharge o f ca pac itor aft e r I s ?

c. . ~. b G : ' l U U~ . 1

initial char ge o f capa c itor .


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CONFIDENTIAL' 20

34 In a circuit as shown in the figure below , cell EI has e.m.f. of 2.0 V and internal resistance which can be neglected . The length of the potentiometer wire AB is 100 em andwhen switch S is opened, the balance length AX is 75 em. When switch S is closed,length AX is 60 em.

.II'

XA B

\:1.:. 1.'7

\ '5 :.. ; - - - -

f2

"5 l l '

. ~ 'S -~

"1 5 f * h a t s the internal resistance of cell , ?-;;p 5 A 0.750 B 1.000 @ 1.250 D 3.000

35 An electron moves in a st raight line in vacuum where there is a magnetic field and anelectric field acting perpendicular to each other. If the electric field is removed , the electron will move with

CA) same speed in a circle.D same speed in a parabola.C same speed in a straight line.D a lower speed in a circle.

36 The mapnetic field of Earth at the centre of a conductor circular coil of radius 5.0 emis 7.0 x 10 T. Th e direction of the Earth ' s magnetic field is perpendicular to the plane of

') - 7 0)(\ 0 - ) ' the coil. This magnetic field is cancelled by the magnetic field produced at the centre ofl J - - the coil when a current flows in the coil. What is th e magnitude of the current flow?

~ . A 0.9A B 1.4A C 1.8A (W5.6A~ 37 When a constant current flows in a moving coil ga lvan ometer, the coil will be

deflected by a constant torque because

N , 4 0 DP. 0 \ ) t W - ~

1,,,"2-

A the coi I is wound round a soft iron core.

B the coil undergoes critical damping . the coil is placed in a radial magnetic field.D the coil is controlled by a helical spring.

38 The magnetic flux density in a solenoid which has 400 turns and unifonn crosssectional area 1 x 10-4 m2 is 5 x 10 -5 T when the so len o id carries a current of2 A. If themagnetic flux density of the so lenoid is assumed unifonn , what is the se lf-indu ctance ofthe solenoid?

A 0.5 ~ H 1.0 ~ H C 2 .0 ~ H D 2.5 ~ H%011

This question paper is CONFIDENTIAL until the examination is over CONFIDENTIAL

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12/39

CONFIDENTIAL' 22

39 A sinusoidal a.c . source with period Ti s connected to a pure capacitor . Which o f thefollowing graphs best represents the variation of energy per unit time . P. stored in thecapacitor with time I in a complete osc illati on?

p p

'. T

I

) ) Bp p

D

40 The figure below shows an operational amplifier with open loop voltage gain of 105

+9 V

The voltage supplied i s 9 V . If V1 = 0.50 mY and V2 = 0.60 mV , what is the outputvoltage Vo?

o 9.0V B 10.0 V

960 / 1

c 19.0 V D 55.0V

Thi5 question paper i s CONFIDENTIAL until the examination is over CONFIDENTIAL

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13/39

?,

CONFIDENTIAL * 24

41 Lens K. and len s K2 have focal length 10 em respective ly. Whi ch o f the following arrangements o f the lense s will cause paralJellight ray incident at K. becomes d ive rgi ng after eme rgingfrom K2?

42 The figure below shows an air wedge fonned by pla ci ng a thin piece o f paper between two thin glass plates at distance 8.0 cm from the line of contact of the glass. Mo

nochromatic light of wavelength 5 .89 x 10.1

m is inc ident n onnall y at th e ai r wedge.

Thm P'P" 1 1 1 1 igh t2 Z 2 ~ 1= ~ I ~.~ i t =.==. f ' f 'Thin glass

14== '.0 om -----..j

1d I+ - )-,.' )

If the separation between consecutive dark fringes is 1.5 mm, the thickne ss of thepaper i s

~ 0.79 x 10" m! a ) 1.57 x 10" mC 4 .71 x 10" mD 1.57 x 1 0~ m

43 Which o f the f o llowing characteristi cs will determine whether a wave is lo ngitudinalwave or tran sverse wave?

ABC

ReflectionRefractionDiffraction

Polarizati on

- : t44 The optical path in a glass slide of thickness I, is I,. The refractive index of the glasscan be expre ssed as

A c

960 / 1Thi s que stion paper i s C ONFIDENTIAL lUltii the exam inat ion is ove r CONF IDENTIAL.

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14/39

CONFIDENTIAL' 26

45 In a Young's doubleslit experiment, the two slits arc radiated from the same lightsource of so that light emerged from the two slits have

A the same speedB the same pathC the same plane of polarization the same constant phase difference

46 Which of the following graphs best represents the X-ray spectrum produced b.y an Xray tube at two different potential differences of Va and Vb (V a> Vb ) ?

A B. ~ . ~

~ ~~ ~

Wavelength Wavc:lcngth

B .~~ ~

Wavelength Wavelength

47 Which of the following is Dot the application o f laser light?

(A) To detect submarine.

96011

B To cut metal.C To measure the distance between Eart h and Moon.D To perfonn eye and brain surgery.

This question paper is CONFIDENTIAL lUltil the examination is over CONFIDENTIAL'"

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15/39

' - I ' ,, . ; ~

CONFIDENT IAL ' 28

48 The stability o f a nucleus ca n be detenn ined by usi ng b indin g energy per nu c leon asa measurement.

Binding energyper nucleon

M,V

10 Nc..8 r

H,6

4

2 H

o 50 100 150 200 250Mass number

For the most stable nuclide , th e quantity is

( i) maximum f or the nuclide in the periodic table.H directly propo rtional to the rati o of pro toni neutr on .C increase s uniformly according to the increase of mass

number in the per:iodic table.D increases unifonnl y according to the increase of atomic

number in the periodic table .i'

I ,

Q.

N

49 The radioisot oPes of P and Q have half-live s Tl and T2 respectively with Tl "" 2T 2 .The number of nucJei ofP and Q in a sample is the same init ially. How long does it take

for the number of nuclei P becomes two times the number of nuclei Q ?A T, B 2T, 2T, D 3T,

so A radioisotope of element Z experiences a series of decay until it becomes a stableisotope of element Z. In this process, the ratio of the number of a-particles emitted to thenumber of a -particle s emitted is

( ~ 1 1 B 1:2 C 1:4 0 2: 1-t1r.1. t1 .,.-N ~ I \ L - -,-. ,,

" t ! ~\"-!c;.:..-: i ' ~- '-

or,

%011*This question paper is CONFIDENTIAL until the examination is over CONFIDENTIAL"

.,,

~ A

,' , ', - .

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16/39

CON FIDENTIAL'

l ASATAN PF: IA./ARAN DHDR ASArAN PELA JA RA N JDHOR ./ARATA N PF. I.;1./A RA N .I 0 HOR .IA RATA N

JAB,' 980/2 VJOHORJABAT, . PERCUBAAN STPM 2009JABI V JOHOR JABATI-lABArAN PELAJARAN JOHDR JABAT!- 'JR lASArAN PELAJARAN JOHDR JABArANlABArAN PELAJARAN JOHOR J A B A T ~ 'J R ASATAN PELA J ARA N lOHOR lABArAN

l ASArA N P E U J ARA N JOHOR lAHAr ;. ') R lABArAN PLA JARAN JOHO R "JABA TANlABATAN PELAJA/UN JOHDR lARAT!- ')R lABArAN PEUJARAN JOHO R JABATANJABATAN PELA J ARAN lDHDR JABAr/- 'JR lAHArAN PEUJARAN JDHDR lA BA TANlASArAN PEUjARAN JO HDRJABAT / 'J R lASArA N PEU JA RAN lOHDR JASArANlABATAN PELAJARA N JOHORJABA'i lJABATAN PELAJARA N J O IIOR JABATANlASArAN PELAJARA N JO H D R JABAi PHYSICS ~ lASATAN PELAJARA N JOHOR lABATANlA SArAN PELAJARANJOHORJABAIA I" ~ ~ , ~ ' U ~ ~ U .. ' - ' J / U ABATA N PELAJARANJ O HORJABATANJABATAN PELAJARANJOHOR J A B A T A ~PAPER 2 )R JABATAN PELAJARANJOHOR JABATANJABATAN PELA JARAN JOHOR JABATA" JR JABATAN PEUJARAN JOHOR JABATANJABATAN PELAJARAN JOHOR JABATAN PELAJARAN JOHOR JABATAN PEUJARAN JOHOR JABATANJABATAN PELAJARAN JOHOR JABAT AN PELAJARAN JOHOR J ABATA N PELAJARAN JOHOR JABATAN

Instructions to candidates:

Two au d a balf hours

1(2 "2 Hours)

DO NOT OPEN THIS BOOKLET UNTIL YOU ARE TOLDTO DO SO.

Answer al l questions in Section A. Write your answers in the spacesprovided

Answer any four que s tions in Section B. Write yo ur answers on theanswer sheets provid ed. Begin each answ er on a fr es h sheet o f pa p erand arrange your answers in num eri cal order. Tie yo ur answer sheets

to this question paper .All worldng should be shown . For calculati ons. relevant values ofconstants in the Data Booklet shou ld be us ed For numeri cal answers ,unUs should be quoted wherever they are appropriat e.

Answer may be wrinen in either English or Bahasa Malaysia .

This question paper consists of 28 priated pages .

%012

For examiner's use123456

789

1011121314

Total ;

*Tbis question paper is CONFIDEN TIAL until th e examination is over CONFlDENT IAV

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CONFIDENTIAL 2

- )i..eSeed A[40 markr] *+?I [ , " ~ r/l-> C' e.../,.n

Answer all questions in this seciion. I -;, UsrSe"'iJZ- a+ J.j 11 _

e-te."'"",I J'v-


18/39

CONFIDENTIAL 4

3. ' The graph below sho ws how the acceleration of an object undergoing s imple hannonicmotion varies with time.

96012

Acceleration Im s 2

50

o0.08

-50 - .- - . ~ - '

(a) Deduce from the numerical values given on the graph,

(i) the frequency

0 ,04-

(ii) the angular frequency ro

0 , 0 2 . t/ .

(iii) the amplitude Xo of the oscillation .

0 .1"2-

(b) Sketch a01',15 0

too

5 0

which shows howthe

displacement varieswith

time.~ / " ,

[1 mark]

[1 mark]

[1 mark]

(I mark]

*This question paper is CONFIDENTIAL until the examination is over CONFIDENTIAL

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19/39

CONFIDENTIAL 6

4. A glass fibre of length 0.24 m and area of cro ss-section 8.0 x 10-7 m2 is stretched unt il itbreaks . T h~ variati on with load "F6fth e extension x of the fibre is shown In ffieaiagram be low .

: = ~i ~ L 3__ __.. _L__..I

I i II ; I .O ~ ~ 2 ~ O - - - 4 ~ O ~ - + ' 6 0 ~ ~ 8 0 ~ - - ~

1

FIN

(a) State with reaso n whether glas s is du ctile, britt le or polymeric . [2 marks]

......:Thr!,.. s ~.. . i ~ F ~ ~ ! ~ : 1 1 e e ~ h...~ .. q ... \ :: .

....1w.,!13\tt..li'r:e....ClD.J. .~ ...l ~...OO:t:.. .b : J ~.e ) F : \.. :i&.:... /(ne.\ .

(b) Determine the Young 's Modulu s for the glass fibre. [3 mar!:!]

"'\,\

\\

\

96012This questi on paper is CONFiDENTIAL until the examinati on is over CONFIDENTIAL

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20/39

CONFIDENTIAL 8

5. (a) What is a multipli er? [1 markl

96012

.M ~ \ l 1 p . \ ( ~ ... 6 ... 9. ..~ k s" , ..~ ..["'..C l ' D : . " " +. ~ )< ........ ......(b) State the function of a multiplier? [1 mark]

1O ..J c O ~S ~ ~ o M ? k ' : ' : . J ' ( 1 / < > ~ I . P l b : ' ! I ~ r..: j :. I(c) A galvanometer o f resistance 30 n has a fuU-scale deflection of20 rnA. It is tobe converted into a voltmeter of range 0-3 .0 V.Describe briefly , with the aid of a circuit diagram to show how a multiplier i s connectedto the ga lvan ometer and calculate the re s istance of the multiplier required?

[3 marb]

Diagram:

-11... ciruu,. neC" to,

:~ ... r n . y , l : t i f ~ i ~ .... .C ; : ; < ? ~.. .. ~ .~ ~ \ \ J \ ' > t l O I j J d c l.. ' ~

:~ ~ ~ ~: : : .~ \ =:~ : : : : J'~ ~ . : : : : ~ : : : ~ ~ ~ : ' )


21/39

CONFIDENTIAL 10

6. (a) State one advantage of using negative feedback in an operationalamplifier . [I mark]

... ...If.... wll!...flc\+ .. ~ . . a ( \ . : : l . : : ! ~ . : .) ( .................................(b)

6 0 k Q

2 0 k O

V . .

--=- O VIn the op-am p circuit above, the input voltage Yin is sinusoidal with a peak voltage of3.0 V .

(i) Ca lculate the closed loop gain of the circuit. [1 mark]

/(ii) What is the ou tput voltage, Vo? [I mark]/

iii) Sketch two graphs to show the variation of Vii and Vo with time t on the same axes.[2 marks]

L _' i I i i - L . . . i I L i I I1 - -T ' i --" I . I I I ,r--' - -r+-f-iT--' t-rr - _. --r1--'-f-1r ! I T I I I ! , I !! ! ! I ' I I ! I I i i I! ! i i , , i i I I =HU-L ! I ! t t fsl1 - ' - ' - r - - - t , ' - +~ ' - + - - T- .. _ ! ' I j--r-T---r -"+'-" .. 1---"1r I i ' --- I 1 'f-tT-i-r-1I ' I ,. i .i I ! ' .. ! . . . , i ii ! i i . i ! : i J ,-1-;-+-1--1---11~ . _L - - L _ . . L._ L . . . L _L -. _1 ! I ___L . .L_.L. __ _ -1.__.1 ._-'-_1_. _ J

96012-This question paper is CONFIDENTIAL until the examination is over CONFIDENTIAL-

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CONFIDENTIAL 12

7. (This question is based on an experiment conducted by NASA on a novel source ofenergy for a space shuttle.)

Above the equator of the Earth. the Earth's magnetic field run s horizon ta lly in the southnorth direction.A space-shuttle flying from west to east above the equator cuts perpendicularlyacross the magnetic field as shown in the diagram below .A small sate llite is attached to theshuttle by a very lo ng thin copper cable. It is proposed to use the e.m .f generated in the cable asa so urce of electrical energy for the shuttle .

Magnetic fluxinto the paper

x x x x x x x

sate litex x x x x x

x x x cablex . x x x

x x x x x x

x x x x x x x

x x x x xshuttle

(8) Explain how is there an e.m.f. generated in the cable? [1 mark]

.....~ .. k ..o : : i l i \ ~...h .. tP.l:- .... i [ \ : j \ . l \ ~, . "~ ... ~ ...~ n d t G ~ ~ V S ....:o ...~ .....? : .rr. f..... j . ( \ ) A i \ . c t A b l e . . ~.. ........ .

(b)Calculate the magnitude of this c.m.f. using the following data:Cable lenath - 20 Ian

Speed of shuttle and satellite = 7.0 Ian "Horizontal component oCdle Earth's magnetic flux density = 6.0 x 10-5 T.

I[3 marb)

/

(c) State the direction aCthe generated 'c.m.f. [/ mark)

!

96012This question paper is CONFlDENTIAL until the examination is over CONFIDENTIAL

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CONFIDENTIAL 14

8. (a). Explain briefly what is meant by nucl ear fusion . [I mark]

. N M . ~.. -Mtoo ... j' s .. a. .. ~ ( \.. ~ ~....~ ...q;\pm \ /WIlI$.ls.. .~ \ ' ) ~ . ~ ~ r :. ~ . ~ ~ I t>tbm ; \~ n 0, clec1:rt>[15'

(b) . A carbon isotope ItC is bombarded with a proton to produce an unkn own nuclide , X.

(i)Write 8 nuclear equation to repre sent the above reaction and identify the unkownnuclide, X. [2 marks]

, ~ 1 J.\ -?> n X V6 C

-t ,f .fI.

f'-..

(ii) Calculate the energy released during the reaction .Mas s a r ':C =" 13 .oo3355u , mas s o f : H = l.oo 7825 uMass of unknown nuclide,X ' = 14 .003074 ul u = 931 MeV

,fO r I 1-\ ;

nFor I x."

E = rnc."2.~

E ' (13.00"':;.55" ) ( 3 . 0 0 )(10'8)

, ,. n X 10 ' 1\ -10"'.'5 b S- '

5:=",c."E:- (1 , 0 0 1 8 2 5 ) ( 3 . 00XIOls l

, ~ > b .- '= "l, 0 1 x 10 .lI ('(\ ' 5 "' -E ",,-

5 . . (1 tj.,OO3.Oi4-)C3 ' c)O'olID g )L= 1' ' ' bX{OIS 4t- r-,3 56.$- '

18( I. \ ' >l 10 1"10 I ~ }\ '2 6 X 10

\.').6"-16'" ~ E x

[2 marks]

\. \

.'

--- No ene


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CONFIDENTIAL 16

SeetiOD B [60 marks]

Answer an y four questions in this section

9. (a) . What is meant by centripetal force ? [I mark]

(b). A student suggests that for a body to perfo.nn circular motion, the centripetal force actingtowards the centre of the circle is balanced by the centrifugal force acting outwards awayfrom the centre of the circle. Comment on the above statement

(e). A car goes over a hump of radius of curvature )0 m.car so that it is always in contact with the road ?

(d) (i) State Newton's Law of Universal Gravitation.

[2 marks]

What is the maximum speed of the[3 marks]

[I mark]

(ii) A satellite of m a s ~ sround a planet of mass .MJ.n an orbit of r a d i u ~If G is the universal gravitational constant, what is the gravitational force of attractionbetween the planet and the satellite? [2 marks]

(e) A satellite of mass 150 kg goes round the earth in a circular orbit of radius

twice the radius of the earth. Calculate .(i) the centripetal force acting on the satellite.

(n) the orbital period of the satel1ite.

(Radius of the earth : 6.38 X 10' m)

F' - ( i M:!Lr"l.

I.-t' - ~ ~t-

\p - ~ ~

F - ~ ~~ D r

960 /2

[3 marks]

(3 marks]

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CONFIDENTIAL 18

10. (8) Metals are good conductors of both heat and electricity while good th enna l insul ators.

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are also good electric insulators. Ex.plain why? [3 mar ks]

(b) Th e

~through a well-lagged metal rod at steady state is defmed b ) the

equationl ~ = - 1c.4Bwhere Q i5nle quantity of heat flow, k is the thennal conductivity oftbe metal, A is the- - - dB - -cross-sectional area of the rod and dx is. the temperature gradient along the rod.

~(i) Explain what do yo u understand by steady stale and lemperature gradient?

[2 marks](ii) Based on the statement in (a) above, state the quantit ies in electric conduction formetal s that are analogous to rate o f heal flow and temperaIure gradien t in thennalconduction for metals. [2 marAs](iii)Hence write an equation for e lectric conduction that is equivalent to the equation ofheat flow as in (b) above. Explain the symbols used in your equation .

[2 marks]

(e) The diagram below shows two rods of the WIle length, ~ a n dd i a m e t ~but mad efrom two different m a ~P and Q. They ar e placed end to e ~ t h e e n t a c tandweILlaggedantretJ:si(feS. Theouter en d s of P and Q ar e kept a ~ IOOGCrespectively. The thennal conductivrty of P is four times that ofQ.

~~

OC ~ I O O O C~ laggging

(i) Detennine the steady-state temperatu re at the j oin ted-end. [3 ma,.ks](ii)Sketch a graph to show the distributi o n of stead y-state temperature along the wh o lejointed rod. [3 marks]

This question paper is CONFIDENTIAL until the examination is over CONFIDENTIAL

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X20

11. (a) State two conditions necessary to produce a well-defined stati onary wave using tw o

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separate sou nd so urces . [2 ma rks ](b)The equation of a stationary wave on a stretched string is given a s:

y = 0.1 sin 2501 cos SOx

where distances are in metres and time is in seconds.(i) Calculate the frequency afth is wave. [2 marks](ii) What is the distance between two neighbouring nodes along thi s wave s.

[2 marks)(iii) Ca lcu late the speed o f the wave in this string. [1 mark]

(e) (i) What do you understand by inteiference . [1 mark]

(ii)State two conditions necessary to produce a welt defmed interference pattern .

[2 marks)

(d) The apparatus ofa Young ' s double-slits experiment is set up as shown below . Gi sequidistant from the doubleslits 8. and 5 2' H is a point on the screen when the light

waves from 51 and S, interfere with a path difference of ~ .

1 5 , 1 Hly

~ ---- --i-------- --------------------- G1 5,

1

o

(i) What is the type o f interference observed al G and at H respectively? [2 marks]( ij) If the distance S.S r 1.0 mm , 0= ] 50 m and the wavelength o f the light , A. is 600 nm ,

calculate the value of y. [3 marks)

.-y'his question paper is CONFIDENTIAL until the examination is over CONFIDENTIAL*

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CONFIDENTIAL 22

12. (a) A stationary ne gative ly-cbarged particle experience s a force in the directi o n of tilefield in which it is pl aced. State and explain , whether the fie ld is magnetic , electric or

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gravitational. [2 marks ]

(b) Calculate the magnitude oftbe e lectric field strength required to maintain an e lectronin a fixed position in the gravitational field of he Earth , at its surface.

(Takeg=9 .8 1 ms 2 ; mass of e lectron =9.1 x 10.31 kg) [2 marb]

(e) Neon-20 atoms are ionized by the removal of one electroo from each atom. For aNeon-20 ion,

(i) state the charge on the ion.(ii) calculate its mass.

(d) The neon ions in (e) are acce lerated from rest in vacuum through a potent ialdifference o f 1400 V. They are then injected into a regi on of space where there areunifonn e lectr ic and magnetic fields acting at right an g les to the incident direction ofmotion of the ions as shown in the fo llowing diagram . The e lectric field has field strengthE and the flux density of the magnetic field is B.

Path of neon ions

/ " Region of Wlifonn" electric and magnetic

field s

(i) Draw and indicate clearly the directions of the e lectric and magnetic fields so that theions pass through und eflected through the region. [2 marks]

(i i)Calcu late the speed o f the accelerated ions o nmagne t ic fie lds.

entry into the region of the electric and[2 marks]

(iii) The electric field strength E is 6.2 X 103 Vm - I Ca lcu late the magnitude of themagnetic flu x density so that the ions are not deflected in the regio n of the fields.

[2 marks]

(e ) The mechanism by which the neon atoms in (c) are ionized is changed so that eachatom lose s two electrons. Sta te and exp lain what change occurs in:(i) the speed of the ion s entering the region of the electric an d magnetic field s as in (d)above. [I mark]

(ii) the path of the ion s in the region of the electric and magneti c fie ld s.

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CONFIDENTIAL 24

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(8) What do you understand by (i ) de Broglie's relationshipduality ?

(ii) wave-particle

(b) What is the de Broglie wavelength of an electron which has a kinetic

energy of SO eV ?

(c) Explain the differences between the production of the continuousspectrum and the characteristic spectrum of X-rays.

(d) Sketch a suitable graph to show the continuous arid characteristicline spectrum of the X-rays produced when a metal target isbombarded by energetic electrons

(e) Explain why for an electron of energy E. the wavelength of the X-raysproduced has a minimum value. A..,.

(t) Calculate the shortest wavelength of X-rays emitted. by electronsstriking the surface of a 20kV television picture tube .

[m. = 9.11 x jO"lI kg Planck c o n _ t = 6 .63 x 10"]

[2 marks]

[2 marks]

[4 marks]

[2 marks]

[2 marks]

[3 marks]

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CONFIDENTIAL 26

J4. (8) Define the half-life and decay constant o f a radioactive substance. [2 mar"]

(b) Naturally occurring radium-226 with atomic Dumber 88 produces the radioactive gasradon-222 by alpha decay.(0 Write an equation for the decay process(ii) Calculate the total kinetic energy of the decay products in MeV

Mass of radium = 226.025402 U, mass of radon = 222.017570 uMassofbelium'" 4 .002 603 u lu = 931 MeV

[I mark][3 mar"]

(e) The bombardment of a beryllium nucleu s by an alpha particle produces a fundamentalparticle X. as follows

a + 9 8e ---+ 1 2 C + X

.,

(i) Complete the above equation

(ii) What are the alpha particle and X ?

(iii) State two important properties which makes X difficult to detect

[2 mar"]

[2 mar"]

[2 mar"]

(d) An ion of unknown atomic mass is mixed with I!C in a mass spec trometer. The radii

of curvature of the tracks of the ions and ' !C are 26.2 em and 22.4 em respectively . What is the

identity of the unknown ion? State an y assumptions that you make.

[3 mar"]

961112

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CON FIDENTIAL -

QuestionNumber1. (0)

(b)(i)

SUGGESTED ANSWERS AND MARKING SCHEMEJOHOR STPM PHYSICS TRIAL EXAMINATION 2009

PAPER 2

SECTION ASuggested Answer

The Pr inciple of Conservation of Linear Momentum states that the totallinear momentum of a system is constant ( or conserved ) if there is noexternal force acting on the system .

co nservation of linear momentum2 ,Ox 10 " x 500 = 1.0 (v ) + 2.0x 10 " x 100

v = 0.80 m 5 .1

(b)(ii) Loss in K.E wooden block=work done against constant or averagefrictional force

2, (0)

(b)

3. (o)(i)

(ii)

.!.( 1.0 )(0.8) ' = F R 0.20)2=> FR = 1. 6 Nimage is real

v =0.25(20) =5.0 em

1 1 1 1 1- = - + - = - + -J U v 20 5 .0J=4.0cm

1 1 1- = (n - 1)( - + - )/ T. T 2

I 2- = (1.65 - 1) -4.0 rr l = T 2 = 5.2 c m

1 1f= - = - - =25Hz

T 0.04 50 f iangular frequency : w = 2m = 157=160 rads "

I d - G , 50 2 0 10 - 'amp Itu e , "0- - , = ( )2 = . x mIV 157

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CONFIDENTIAU 2

(b)

4. (a)

(b)

x (x10 "20 .... 1 \ _ ..1 \ ... 1 \ ......... .

U V O~~ 0 .122 .0 .. ...... . .. .. .. .. . .... .. .. ..... ..... ......... ... .. .... .. ... ...... . .... ...... .......................... .Brittleshow no plastic deformation before it breaks

E = FLxA

60xO.24= -....:..:.,:.:...:..:: ' - ' - """"

3x10 4 x8x10 7

= 6 .0xI0 IO N m 2

Us

5. (a) A multiplier is a resistor of very high resistance connected in series to ag a l v a n o m e t ~ r.

(b) The function of the multiplier is to reduce the incoming current down tothe maxirnu "m current that can be carried by the galvanometer .

(c )

6. (a)

ORThe function of the multiplier is to convert the galvanometer into avoltmeter .

Ir sdi - - - {

V=3.0VJ = I

ft d= V = 3.0 = 0.02

r+Rm 30+Rm

30 + R. = 3.0 = 150 => R. = 12000.02

The multiplier is connected in series to the galvanometer .

to reduce the distortion of the outputor to reduce the gain

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CONFIDENTIAL ' 3

(b)(i) R f 60Gain 1 A = I + - = I + - = 1 + 3 = 4R, 20

(ii)Output , V, =

A Vm = 4(3 .0) = +12.0V = + 9.0V( saturation)

' .. -: . 1( . 0 '" ,_.... :.. ........

1 2 . . ..-""

. . ,/ ' .'-5 '.

. \ ~, .

:.:r .""11"./ - - " . , - ' -" ' - " ~ ' ". /, )

...: .......-.. . -"' .. Til'n..- .:- ; : ..\ .""- , ~ .

./",,;> , .- 1 2

,

7. (a) There i s chan ge in magnetic flux-linkage

(b) E = BIv=6.0 X 10 -5 X 20 X 10 3 X 7 X 10 3=8.4 x 10 ' V

(e) direction of generated e .m .f is fro m "spa ce shuttle to satellite .

8, (a) Combination of 2 lighter (or smaller) nucle i at very h igh temperature toprodu ce a heavier (or bigger ) nucleus accompanied with the re lease ofa lot of ene rg y.

(b)(i) J3C+ lH-+14X, , ,1 4 X is J4 N, ,

(ii)Mass defect ,

MI = (13.003355 + 1.007825)u - 14 .003074uM I = 8 . 106 x lO"u

Energy released , Q = 8. 106 x 10 -' x 931 = 7,55 Me V

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CONFIDENTIAL- 4

9. (a)

(b)

SECTION BCentripetal force ::: for ce that causes a body to move in a ci rcle , and itsdirect ion is always towards the cen tre of the circle .

The statement is false .

If the two forces balance each other ', the resultant force;:: O . Accordingto Newton 's first law of m otion , the body will m ove in a straight line with

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constant velocity. Tha t is the body will not perform c ircula r motio n. 1

(e)

(d)(i)

( i)

(e)(i)

(ii)

R

i l l

mg

Resultant force towards the centreof circle ;:: mg - R

mv'He nce mg - R;:: --

r

For ma ximum v , R::: 0

v:: lrg ;F8 1 ~ ~ s- ' , 9 "I ",,-'Newt o n 's Law of grav itat ion states that the force between two masse sis directly proport ional to the product of the masses , and is in verselyproportional to the square of the distance between them .

The gravitat ional force of attraction is F=

F ; GMm ., .

r

F ; gR' X4R '

9.81x150;

4; 368 N

F = mr a /

150

GM = gR 2; r = 2R

368 ; 150 x 2 x 6 .38 x 10' ", '

G Mm

r '

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CONF ID EN T IAL - 5

(iii)

10 ,(0)

(b)(i)

we'L iI )(iii)

(c)(i)

2"Period T =(iJ

= 1.435 x 10' s .

1 1 J 1K . E ~- m v ~ - m (r ( i J )2 2

K. E ~ ~ ( 1 5 0 ) ( 2x 6.3 8 x 10' ) ' (4.38 x 10- ' ) ' ~ 2.3 4 x 10 ' J2

Hea t and electric conduction in metals are both ca u sed by th e man yfree electr on s tha t moves with hig h mobility.

The re are n o free electrons in therma l and electric insu la tors .

Thus thermal and elect ric insulat o rs are poo r conductors .

Steady state is ' achieved whe n the temperatures at all po ints along themetal rod are stable and not changing.II 'Te mperature gradient is the difference in temperature -pe r unit lengthalong a conductor. c~ , J,..uJ

I tlx .

(Ql l t ~l dC/ , k A 1&

Curren t, f - r - A ) " ~ ' \ ' o(;t ~~ p l . ..L Kv l ' -Cl. p A ~

wher e: 1 is the curren t in th e tlowin l l n the conductor ,p is th e resisti vity of the material conductor,

V is the potential grad ien t along the conductor .I

rate of heat flo w in P=rate of hea t flow in Q V 111 .. ; . ,

=> 4kA(8-0) =kA(100-8)V, l ( q ; i

, I " It' - ) p-.,

-1'& : IDO - f-

t, b I ; .

t :0 L

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CONFIDENTIAL" 6

11 .(a)

(b)(i)

(ii)

T moeature fC

100----- ------- -- ---- 1-------- --- ------ -

25 .... ,,,.O ~ ~ - - - - - - ~- - - - - - - -- - r _- +21

p Q

Supposition of 2 identical waves tra velling in opposite direction.Amplitude of both waves are the same or almost the same

Compare to stationary wave equation y = A sin OJ' kos 2m, l

'" = 2nf = 250250f = - - = 39.8 = 40Hz2"

2 " = 50, l .

2", l = - = O.13m = 13. 0em

50

distance between 2 neighbouring nodes:;:: A. = !2 = 6.5cm2 2

length

(iii) speed of wave . v=jA=(40)(0.13)=5.2m s- 1 ~ X "1\ " " , , -

(c)(i)

( l)

(d)(i)

~ ( o .;vInterference is the superposition of two coherent waves to producepoints of max imum and minimum amplitude finte nsrty .

Two conditions for welldefined interference are :-both waves are coherent and same or almost the same amplitude .

Interference at G is constructive interference .Intererence at H is destructive interference .

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(ii) At H, is first minimum where m=1 1

(m - )I,)DA (1- )1,)(1.50)(600 x W ' )y = d = 1.0 x 10 -3

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12.(a) a) The stationary negative charged particle will move in the d irection ofthe gravitational field. 0 e

J "'11

The stationary negative cha rged particle will move oPPosite in directionto an electric field and will not move in a magnetic field . 1

(b)

(e) (i)

(ii) _

(d)(i)

Upward electric for ce = downward gravitational forceeE = mg

charge on Ne ion = 1 .6 x 10 .1 9 C

. M 20 x 10 -3mas s of Ne lon , m = _ = 23 3.3x IO -

26kg

N , 6 .02x 10

Path ofNe + ion s

OR

E

Path of Ne+ io n s

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CONF ID ENTIAL 8

(ii)

(iii)

(e)(i)

(ii)

13 .(0)(1)

(ii)

(b)

(e)

1 ,-m y = e V2

V = ~ 2 e v= , 12(1.6 X I0 - " )(1400) =2.2x l0 ' ms - 'm V 9.1 x lO- 3 1 '

electric force = magnetic fo rceeE =Bev

8 = = 6 . 2 x l 0 ' =2.8 x l 0- ' Tv 2.2xl0 '

Charg e d oubled , spe ed v inc re ased by J2 t imes.

Mag netic fo rce> elec tric force , ions deflected from origin al path .

The de Broglie 's relationship g ives the va lue of the wavel e ngt h )_h

related to a particle of line a r momentum p in the equation A. = -p

where h is the Planck co n st ant

The wave -particle duality ref ers to the wave nat ur e o f a parti cle un de rcertain spe cific conditions and the co nvers e is also true

.!. mY' = 50 ( 1.60 x. W " )2

mv = ~ 2 x 5 0 (1 .6 0 xl O- " ) m

de Broglie wavele ngt h A. =h

mv

6.63x l 0 -"= 1 .74 X 10 .10 m ;

mvme =9 . 11 x 10 .3 1 kg

Continuous s pectrum is pr oduced when fas t electrons from the cathodeare d ecelerate d on co llisio n with the target . The decr eas e in energy ofthe decelerated electrons is rad iated as photons in the conti nu ousspectrum .

Characterist ic X-ray is prod uce d whe n a vacancy in the inner shell(e.g . K-shell) of the target atom is filled by an electron from a highershell .

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The difference in ene rg y of the electron is radiated a s a ch aracteristic 2X-ray phot on.

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/

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(d)

(e)

(f)

14. (a)

(b)(I)

Intensity

line spectrum

continuous spectrum

wavelength

When an electron collides with a target atom , the electron willdece lera teand is stopped . The loss of aU the kinetic energ y E of the e lect ron in a

s ing le co llision with the atom means that the X- ra y e mitted has. h f hemax Imum paton energ y 0 - -

h eeV= -

..t ,Nn

A . = helIua 20x lO J x1.60xlO -'9

= 6 .2 2 x 10"'m

A""

Half-life : the time taken for the number of radioactive atoms in asample to decay to half of its initial number .

deca y constant =

dN

dlN

~ :Ra -----+

2 ~Rn + ;

He

(ii) Mass de f ect /:, m = 226 .025402u - (22 2 .0 17570 + 4 .002603)u

= 0.005229 uTo tal K .E = 0 .005229 x 931

= 4 .88 MeV

(c)(I) 4 a + 9 S e- - . t o 12 C + I X

0

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(ii)

(iii)

(d)

alpha part icle ; nucleus of helium

~ x : Neutron

neutron is not charged and does ~ o tcause ionizat ion

mv '~ - = 8qvr

m = Bq rv

Assumption: Ion s of the element and ions of C-12 have the same

charge , then m IX: rHence mass number A 0:: r

A = 26 .2 x 12 = 14, 22.4

The element is nitrogen , N

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stpm trial 2009 phy q&a (johor)

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