Stpm Trial 2009 Phy (pahang)

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SULIT 960/r SEPTEMBER 2OO9

PEPERIKSAAN PERCUBAAN SIJIL TINGGI PELAJARAN MALAYSIA NEGERI PAHANG DARUL MAKMUR PHYSICS PAPER 1 One hour 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 suggested cnswers are given. Choose an,ecorrect answer and indicate it on the multiple-choice answer sheetprovided. Read the instruclions on the multiple-choice answer sheetvery carefulty. Answer all questions. Marl6 will not be deductedfor wrong answers. A Data Booklet is provided. Arahan kepada calon: JAI\GAi\I BUKA BUKU SOALAI\ INI SEIIINGGA DEMIKIAN.

ANDA DIBENARKAN

BERBUAT

Ada lima puluh soalan dalam kertas ini. Bogi setiap soalan, empat cadangan jawapan diberikan. Pilih satu jawapan yang betul dan.tandakan jawapan itupada helaian jawapan aneka pilihan yang dib ekalkan. Baca arahan pada helaian jawapan anekapilihan itu dengan teliti. Jawab semua soalan. Markah tidak akan ditolak bagi jawapan yang salah. '

Buku Data dibekatkan.

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PHYSICS

PAPER 1 (1% HO URS ) SEKOLAH ME,NENGAH KEBANGSAAN SULAIMAN 28700BENTONG PAHANG

TRIAL EXAMINATION 2AO9 UPPERSIX SCIENCE NOTE In addition to this paper you will require the following items 1. Calculator 2.DataBooklet

List of fundamental nhysical constantslbund in the Data Booklet Sseedoflieht in free space Fcrrneability of free space Permittivitv of free space Maenitude of electronic charge Flanck constant $nified atomic mass constant Rest mass of electron Rest mass of proton Molar sas constant Avogadro constant

Eeltzmannconstant Aeceleration of free fall Gravitational constant

c:3.00 x 10" ms-' u ^ :4 n x 1 0 -7H m-l e -:8 .8 5 x l 0-" F m-' = 1 l /86 2r) I x l 0 -' F m-'

e=1.60x10-"C h=6.63x10-"Js u = 1.66x l0-'' ke m -:9.11 x 10-"ks m ":1.67 x 10-"' ke R: 8.31J K -' mol-' N n :6 .0 2 x 10" mol

K=1.38 xl.0--""JKG:9.81 m s -' G:6.67 x l0-" N m" kr'

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Variationof the velocityv in m s-rof an automobilewith time / in secondis siven bv v=atz +b t 3 The units of a and b respectively are At:'

rn s2and m sa

0 r,r:::.

tf

6t-

rn-t s3 and m-l s4

.5

nr 05

rn s-2and m s-3 m s-3and m s-4

u// \

.l

( *. $g

/h Stn

,r? tt^>s'' .

SupposeA A== B'C', B^'C"',where Suppose where Ahas dimensionsL'l',BhasdimensionsL'T-', dimensionsLi, B hasdimensionsL2T-1,andChas and C has \ " dimensionsLT2 . Then the values of the indices n andm arerespectively: S , ,.)X n\ 1'

A A

?una!

B B

2 and3 1urra1 *d;

3

cC

grol-

3

t

1**'* a1 5

5

clfl

a-

l-

u* ?

/. t, - ' ) n C ^ t- ) 1't's " (fn l\A,

?.

.a

/n

fv(n s'n

. n sLtn
rnil

-n

(lilv\. il'tv\ I

" '

d h x*' ilo l I t l*u tW-L /Ltttfno'

h - @

'A

A stoneis thrown vertically upwards from the ground level, rises to a height h andthen falls back to its starting point. Assuming that air resistanceis negligible, which of the following graphsbest shows how Er, the kinetic energy of the stone,varies with s, the distance travelled? E1,

A

\r1t \/ ,auo,o'nu

,,o(n<'t N s0 re

C9

,rr%

\t&'

.- 6lsrrnav* [wt-,l,

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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 B C D

9.8 m s-2downwards 9.8 m s-2upwards Changingsuddenlyfrom 9.8 m s-'upwards to 9.8 m s-'downwards Cannot be calculatedwithout knowing the initial velocity

Wtrictrof the following pairscontainsa vectoranda scalar? A

@ I D

: displacementr' angularmomentumV: : momentum V 'power s :

acceleration V kinetic energyl torque V speed 5.

),\ ^ I

, nl

n ' (/r l I.

t/

Three coplanar forces having magnitudes20 N, 40 N dan 50 N, act upon a particle P shown in the frgure below.

East ( bearing90" )

West ( bearing270")

Which of the following is the bearing of the additional that is required to keep the particle in equilibrium? A

37o .,-/

B

T27O

c

1430

Lt \ t f

tW6

2170

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The graph below shows how the force acting upon an object varies with time. Force / N

$J

L\(,\E !f"

wt

\t'-*N' )

Time / s 024 6 Assumingthe objectmovesin a straightline, what is its changeof momentum? A

4 0 k g ms-r

P

36k g m s - r

o

2 0 k g ms -r

D

1 6 k g ms -r

I Two pendulum bobs of unequal mass are suspendedfrom the samefixed point by strings of equallengths.The lighter bob is drawn aside and then releasedso that it collides with the other bob on reaching the vertical position. The collision is elastic. What quantities are conserved in the collision? w \rr of the system. @ goth kinetic energy and angular *o*"rrirr* -R Only kinetic energy. C Only angular momentum. D Angular speedof the lighter bob. 9 A simplependulumof length 40.0 cm has a bob of mass2.0k9. The bob is pulled to one side tmtil the pendulum makes an angle of 30owith the vertical. What is the torque acting on the bob when the bob is released?

A 0.3Nm

)"'6-*

C 6.8Nm

D 7.8Nm

(t fo

/[:

Q'r't

{tt

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X0 The diagram below showsa block of massm on an inclined plane at an angle 0 to the horizontal.

$

f'

, . \,//

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

\.'

'

Alt'

If p is the coefficientof friction betweenthe block andthe plane,theminimum valueof F requiredto preventthe block from slippinedoyis \,/

.

A m g si n 0

D m g( sin0+ pcos0)

B p mg co s0 /^tsinO- p,cos0)

ll

If the radiusof curvatureof a corneris r, the maximumspeedof a car roundingthe

corner without sliding is directly proportional to

*u\ A2

1

Br

r

I

'

t

Dr '

NT

A particle of mass z is performing a simple harmonic motion with amplitude a. If the expressedas

l.

'{r ['

rl^r CtW*'. {il A"at Ctaa-w

L 6; B-ti

€ , 1 u o , uz[ )" A' ^E -< a f rI- zn\*o \T -,

'

I f E

l;l;e

1 f 2E

A;Ga

J

13 A block is pusheda distance10m alonga planehorizontalsurfaceby a forceof ^-' motionis 60 N. How muchof the work doneis r !,12--. -w ' magnitudeS0N. The frictional forceopposing {> ?{tJ to heatandhow muchis convertedto kinetic energyof the block? "oiu"rted Kinetic energy/ J Heat/ J 200 600 {800 200 B 204 600 800 600 D

e

Nort' d*-

.n N*f6 -?d't

btwl vu4r, ;* 1 krl,*'r|- e ,

Pu'!^**

t h'^

S u r/ t o t 6 " u ' I ' '1' 6vvi w8' h/\, -

P,'4utr*1"'

-->

w4-/*

, ?s 7s,&r9

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14 A communication satellite of rnassm moves with uniform angular velocity a in a circular orbit of radius r from the centre of Earth. What is the work done by the gravitational force on the satellite in one revolution? Zerc

\

2mnr2co2

C

,t*r3 ai

D

'v{

mrt at

15 A particle moves uniformly along a circular path. Which of the following correctly describethe linear velocity, angular velocity and linear accelerationof the particle? linear velocity

$C

0

Angular velocity

constant always changing constant always changing

[e f-

linear acceleration always changing Y zero constant \ always changing

constant constant always changing constant

"hurt^l

lFffi'

6.- ohonul

l 6 A no b je ctofmassrnisraisedfromtwhe re rt is t h e ra d iu s

of theearth.If the massof the earthis M andthe gravitationalconstantis G, what is the gain in ..- ^ _ potentialenergyof the object? ,/-a_.^y,, cs.tn t.t\ /

-*,?ry) o GY! --ati zifr.

zn

^lzn

6GmM w.2R \-/. 2R

n\ \

GmM

( ' )

,2GmM v

R

R

l7 The gravitational potential energy Ep of an object varies with distancer from the centre of a planet as shown in the diagram below.

h

,1 02;

'uft^*

(^f7 /l

n4

6W

What quantity is representedby the gradient of the graph at arrypoint? A firavitational potential at the distancer. B'/Gravitational field strength at the distancer. $ for.. that pulls the object towards the planet.' Accelerationof the object towardsthe planet. P

h

Y w^, t Lv

\06'/'1

6_2, VV

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t

a

.7

4rr

-(r' ) .

y,_/

,/ The figure below representsthe simple harmonic motion of a particle in a progressive ve that is moving with speed5.0 km s-r

\fl"t'

v'ffu

l- fi

?"t v'lt

Displacem"t, i*

{'

'a '/f'

/'l

(

I

"0

10 .|

Time / ms ...

Fu^"' t4

\P

--r/

-''

{

What is the frequencyof vibratioqof thpparticle? a ' ..$N t(,lf fN@ -.,,

5.okHz

isrn

\

A

I n'h

l20

\?

t9

ryJt'^t

,(

1l

-L

A

,!N

l.uv

( ot ov' 100kHz

(9 .gffi

'

flttn

Thediagrambelowshowstwo vibrations.

q l.7vto')

displacement Vibration I Vibration II

What is the phasedifference betweenthe two vibrations in radians? n

7t \\l. 2

B

1

^/

3t

c

(X

4

it

uYJ

20 The values of accelerationa of a particle in simple harmonic motion as a function of displacementx is tabled below. a l mm s-"' x/m m

t6 -4

8

0

.|

0

4

'

I tL

v\t ?-

n.. I. ,,,, ,

. t^) R.,,

The period of this motion is ASB

or'r't' lb ,v u ' A

-r6

-8 2

) 7T

s

c

v\,t

'" 2

/---

<'( v,4)n

-/.n, N'

.lf

ri$

-

,\y'

,y'

//

Yt u"sr,, *'rlt

,,\

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_-/

2l

./\,/\

\_

A resonancetube openedat both ends and having a vibrating tuning fork placed near one

end

,/ /M alwavshas a node in the rniddle. /B alwavshas an antinodein the middle. C alwayshas an odd total numberof nodes -/ D always has an odd number for total number of nodes and antinodes

ot'

J \

22 An(f,ea-\gascontainedin a cylinder with piston is allowed to expand from volume Vl and pressureP1iilvolumeVz andpressurePz. Its temperatureis kept constant all the time. The work doneby the gas is Vl ; ( t ' V " ' fl\ A zeroobecauseit obeysBoyle's law and so PzVz- P1V1: g B negative,becausethe pressurehas decreasedand therefore the force on the piston is decreasins zero,becausethe gas is kept at constanttemperatureand therefore internal energy is '/' unchanged. h .r ..9 ' 6,O; positive, becausethe volume has increased. k+f ua/

\ro

6.hJ''or,g 11'-

23 A sound wave with amplitude 0.20 mm is of intensity 3.0 W m-2.What is the intensity ofY anothersoundwave of the samefrequency but has amplitude 0.40 mm? A 6.0 W m-2

B

g.0 W m-2

.l2w m'2

D

15 W m-2

'fln

24 The diagram below shows a solid rod and a hollow thick cylinder having the sameaxis and of the samelength, eachhaving cross sectional areaA and M respectively. The spacebetweenthe rod and cylinder and the outer layer are insulated perfectly. The ends of this arrangementare maintained at temperature & and 02.

insulation

**'Jn Solid rod

Hollowcyli If the thermal conductivity of the rod and the cylinder are k and 3ft respectively and the rate of heat flow alons the rod is W.what is the rate of heat flow along the cylinder?

6W

# "*o#

B

a J

-W 2

W

D

I -t4/ 6

tl n6a

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,Mf

q

Ns

\"+r ,

t$

) .' .-\

t"r /

[qS

\,

\a

.h

,\5

,'\'1s

ideal gas in a container of fixed The averagekinetic energy of the moleculMan happen happen pressureof the gas? f What What will will to the their"rr.rr. by 4 iimes. times. the gas? increased increased has been been n{ehas

f

bv increases by2times It increases

!/{l

t,\ 7c

l ti nc reas es by 4ti mes (, by 8 timesf It increases ( by 16times It increases

X /C D

\Y; ' - . f?. / )fh f l\ j, O ! I \) U/

aboutelectricpotential'is false? Whichof thefollowingstatements A B a \/ V

D(

I/1

,}

\

,' \L't / , I( V ,u l(

|)nn') L''(,. q. V,

,K*t *

Uy /V ,,

r'\' $ M It is a scalarquantity. '9,/ /.\'\ ^a l tsu n i ti sJc:t.-' NS required to transfdr 1 C charge frominfinity to a certaiy/ lt_isdefinedastheenergy '\ l / :

.pornt.. , : movedagainstthe is if a positivetestcharge directionof an Its valuedecreases electricfield.

An isolatedhollow conductingsphereof radiusr is chargedpositively. Which of the following is the graph of electric field intensity E againstdistance x from the centre of the sphere? A

w

D

/l ' \I ,/f \/

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29

A wire with uniform cross-sectionalareahas a resistanceof R. The wire is stretchedso that its length is increasedby l0 %. Assuming that the wire becomesthinner unifolmly, L" its new resistance is gl t

B 30

0 .83R 0.90R

--(

b

N

u \"t14

R

^

(0 I

totr,'+n'f) lrt * clan...,.-

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

[E'o

Yr,

{ t) 1u

What is the resistanceof R ?

A lo

c r5f,

\n/sa

D I8O

t_^ 31

Two long parallel and free moving conductors are placed at a distance of 3 cm from eachother. A direct current of 2.5 A flows through both conductors in the opposite direction. Thev will

A // >a ( /' 32

remainstationary. moveawaYfrom eachother.

C I)

move towards each other. rotate in a clockwise direction

The diagram shows a horizontal piece of copper placed in a vertical masneticfield. A current1 flows in the copper in the direction as shown

Masnetic field

!rn' Current,1

The Hall voltage produced in the conductor is independentof

){ ^/ '/ g D

charge carrier density in the conductor. J length ofthe conductor / magneticflux densityof the magneticfield. J temperatureof the conductor

,h

0vw

.,1*

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33

The magnitude of the induced e.rn.f in a solenoid increases when

J

A , B/

a magnetis movedslowly towardsthe solenoid the solenoidremainsstationaryin a uniform magneticfield.

D

the solenoid and a magnetmove in the same direction and parallel to one another.

/-<\ currentof 2.0A flows in a solenoidof inductance4.0 H. The energystoredin ( 34) . A steady the solenoidis

\-/

A B

35

2.0J 4.01

1V

r /, I

\u'

r2'1",r,,u1r)r. 0, r /,n rc.ol

. tr'ot'

The figure shows the variation of an alternating voltage z and current 1 with time r in a pure inductor.

t/s

The current 1 leadsthe voltage V by t

A

1

B

36

n radians

/ D

- n radians

A sinusoidal alternating voltage V: Yo sin rrrl is connectedacrossa pure capacitor of capacitanceC . Maximum energy stored in the capacitor is

q-

I 37

Lradians

radians

zero % cvo2

c

cvo,

D

2 CY s 2

A non-invertingamplifier containsa feedbackresistance Rpin the circuit. What is the function ofthe feedback ? \ B

To increasethe gain. To increasethe effect of distortion.

o D

To increasethe bandwidth. To opposethe input voltage.

( ,i)-

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38

Which of the following is true concerningthe difference between a mechanical wave and an electromagneticwave? Mechanical wave A Can propagatein vacuum B \ /Has high frequency C Loneitudinal wavesor transversewavesonly / \-/ Propagatewith speedlower than )a \-/ the speedof light

39

Electroniagnetic wave Cannot propagate in vacuum Has low frequency Longitudinal wavesonly Propagatewith speedequal to the speedoflight

An object is placed l0 cm from a concavemirror having a radius of curvature 40 cm. The image formed is A 3.5 cm in front of the mirror and is reducedin size. 13.5 cm at the back of the mirror and is enlarged. B 20.0 cm in front of the mirror and is reducedin size c 20.0 cm at the back of the mirror and is enlarsed.

t+^.v* r'e V*,

l'n''

'/ro' \-/

40

Thefigure representsa graphofimage distance,v, againstobject distance,u,for aconvex lens of focallength,f ltl

t,a+ t $ tv

Mu lct-

2u' n .

i '

\* Ll

6a

V"I The coordinatesof point P is A -q

Y$

t

(%f ,%f) (f,f)

t

0 @

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

4l

\h

What happensto the diffraction pattern of a single slit when the slit width is reduced?

A B

L

Intensity of central peak Decreases Increases . Decreases Increases

Width of dffiacfion pattern Decreases / DecreasesTIncreases Incleases

(r, f . t*" i I' frd

'Y

.rtb

1

[0t \0t \/

,},

^'

lt{ -- c\r* c(

\,r,u,q

4' : [/ t e(r.6'e

Urt*t!\YY h

t [,] 4 o(o'w) -O' c(.6i rc'''t)Ci=t).A.0,

(u' o tt"'/

0;'o L--1qxnil

O

The surfaceof a lens can be madenon-reflectiveby coatingthe lens surfacewith a thin layer of transparentmaterial. If 2 is the wavelengthof the incident light in the medium, the minimum thickness,/, of the materialrequiredis

7

A

cL

8

2

,.

4 43

It2 rn rll nn)

---

h

i $'trlttD,

#fr

!* \fu, o4r {t3: {n t '

when a metal surfaceis illuminatedwith light of wavelength520 nm, the stopping potentialrequiredis 0.80 V . If light of wavelength1" is used, the stoppingpotential is I .58 V. what is the value of l, ?

N' ov*{ lv

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3e2nm

9B

5e2nm

,\'il-// F D ',/r$

t*

. 6.If de Broglie wavelengthsof eachof the following particlesare the same,which particle hasthe

,,r\ V

oreafest sneed?

13.6 The energy levels in a hydrogen atom are given by E : - -leV wheren:1.2,3,..... n' The energy required to excite an e{ectronfrom the gro;rnd stateto the first excited state is / A 3 .4 e Y 10.2eV V B 4 .5 e V 6 13.6eV what happenswhenthe potentialdifferencein an X-ray tube is increased? a{\

t4' p c

'

47

Increases rRemainsunchanged Increases Decreases

The following are characteristicsof laser except A/ -F

/

coherent highly divergent

/ I

h2

to

Intensity of continuousspectrum

t/

D

N

t us

proton o,- particle

*

Minimum wavelength, l^;,, Decreasesr t / ,' Increases t ,U y' Increases ,i Remains unchanged

;t$

2z',1::t,\2^ ,\r, r'1" 684nm' v

4*ts. 44

!r,u &

C D

highly focused monochromatic

{

&

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48

The half-life of a radioactive nuclide is such tbat T+of a given number of atorns in a sample decaysin 12 hours.What fraction remainsundecayedafter I B hours? n, N Q'n- t f,

o B

,1. .B

^ -t

q

"

fl

8

1

I

D

4

I

1Att i;,

,r

2 rl

lvr ''n Which of the following radioactivity is not likely to occur?

A

230 90 Th

---->

B

227 g9 Ac

-----t

c/

33'* _+

/ 33u*"+ a-particle

o*" h"'' :,t --\ tr*l(rc) Al

'n3',n + B-particleJ J + 31t *" c-particle + particle 33n*o B-

6,tQ

" +' k,. o'(vr

r=x23811 X,D \ ----------) VV v

Which of the following are leptons? A B

proton and electron proton and pion

/

sigmaand tau muon and neutrino

"F

I ---1

I

v

I

-------t7

I

1

I ---_-,

r

8

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PHYSICS

PAPER 2 (2 % HOURS) SEKOLAH MENENGAH KEtsANGSAAN SILAIMAN 28700BENTONG PAFIANG

TRIAL EXAMINATION 2OO9 UPPERSIX SCIENCE NOTE In addition to this paper you will require the following items l. Calculator 2.Data Booklet

List of funda mental nhvsical constantsfou nd in the Data Booklet Speedoflieht in free space Permeabilitv of free space Permittivity of free space Maenitude of electronic charge Planck constant Unified atomic mass constant Rest mass of electron Rest mass of proton Molar gas constant Avogadro constant Boltzmann constant Acceleration of free fall Gravitational constant

c =3.00x 10" ms-' u ":4 n x l0-'H m-'

e.= 8.85x 10-rzF m-r : t l(36 n) | x l0 -'F m-t

e = 1.60x 10-"C h = 6.63x l0 -'" Js u : 1.66x 10-" ke m"=9.llxlO"ks m"=1.67x10-"'ke

R = 8 .3 l J K-' mol -' N a d.02 x 10" mol -'

K: 1.38x 10-" J K G:9.81 m s G = 6.67 x 10-" N m" kg

\.r"

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Section A [40 rnartr<s I Answer all questionsin this section.

r (a)StateNewton,s nrst,"*.t,'l

;,**L''',,g7gttu

"'*o

lr"

martrsl

..{yl:rl:l:1 lty,. vqr!:.?, k !,sq:t{r rry:,. .!.V. !t:4::..ir.

.....pUst...ro...tutu..!y...t:.:lyr..!.t..tt4f!:4...f:...y...lIl..r..fi'|..rrt!!.1 tnq-hd t, o'tA,oi;J;;; l"' ;;;'";"';i;;'; ; ;i ffi*: : (b) Water from a hose hits a wall perpendieularly with a speedo/20 ms-'. (Assuming the water does not rebound. Density of water : 1000 kg *-' ) .

(i) Calculatethe pressureexertedon the wall.

(to)' ?, Qouo)

l-/

12marksl

{" ' ?,.P

)

z t+uok ?a

(ii) What happensto the pressureif the water will to rebound?

ll narkl

"fhr

!!:: w!,:?r. rlr dY:w

V/

.!.|?.t.t.f1.. d!

I

(a) Define gravitational field strength.

tauaa52 I markl

.....t*.t:!$!!:.....d.*.....fe....?....tt.lt!.!.....f...r...tyrriln...lttr!.:..

\2

tb) The diagram shows the equipotential surface of the earth and i/s potential at various distancesfrom the centre of the eanh. Gravitational potential at A and B are -50.0 M J kg-t (r: 6.8 x10 6m, n : e.Sf x 10 6m ) and-58.0M J kg-l respectively. {i) Calculate the changein gravitational potential energy for a satellite of

mass500kg whichfalls frompointA to pointB.

x)'ilJ

l=

CyL ery v 0

,* tV;'Vl)

F

12marksl

'l [-

L\

.1

Vq

(-eo'o 9g'ot'n6) -

'y

g.o *to6 ).goo

- 4,0 /toq 1

no6fsaD

,a'

1

(ii) Calculate the gravitational :avitational field strength at point B.

2il c(n

..'

3 ' TL n, -"( L-'/

( (tfi *o-")k;o,!n) ( 6'g '/0 b /

2 E '6 ( m t "

€t

/6;

i ny' '

[2 marks]

f,

A,/4 t,

Crll 2/ --

u/l

v .:\

-t/ \/ t /,x=

Yn "5'E

(

---6-r*tvt

= [.j 64P U

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[*tr' h'J' tr ,,' A plane progressivewave is representedby the equationy:0.4 sin (30 t - 2x wherey is in

3 metre, I in second,and x, the distancefrom the source in metre.

)

(a) Calculate the frequency of the wave.

(tt' !, A* &n ftJ

;[2 marl<s]

= 104,

LfifL

v11f,= 3o

('to L 2t') ' f o.esv

+--U^$,

./r

' *'74s-'

,/

|

(b) Calculate the phasedifference between two points in the wave which are 15 cm apart.

-(-i ' h r.ffi .t:.

ylw ir#r.r"r'

a(' ^i*

t Taqbd .

13marksl

vfifi='Llr' ** -., A,'t( .

6tre ruler, AB, freelypivotedat its centreof massT

(b) A 1.0 N weight is placed on the ruler 0.30 m from the middle of the ruler towards A. (i) Statewhich way the pivot must be moved in order for equilibrium to be restored. ll markl

Tlv

.?:v.(ttrvtrt lr^

{oua,4,

Favd

A .

(ii) Calculate the distance.thepivot needsto be moved to restore equilibrium if the weight of

[2 marks]

te

? , >V W'

ffi .' '

ol"+-z-*l OrS!w

}'JA.

"

papercollection

5

A rnetal wire of length 0.57 m and is situatedat right anglesto a uniform magnetic field of

flux density 1.8 x l0-3T, as illustratedbelow. €l€ctromagnetic force on ylire

.:(

,(

xx

x

x

x

,

XX

magnctactiBld dirgclrd , into Plane of paper

xx )r x

-/

xx lx

The massof the wire :

4.51 x 10-3ke.

The resistanceof the wire : 0.05 O A potential difference is applied betweenthe ends of the wire so that there is an electromagnetic force acting on the wire. (a) On the diagram above, mark the direction of the current in the wire.

ll markl

{b) Calculate the potential difference required betweenthe ends of the wire for the electromagnetic force on the wire to equal its weight.

Wv

Mg:b x[

v (hr

"; fuql( v-- iT

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

-1

13marksl

a L.r6 v ,

I

(c) ThehorizontalcomponentoftheEarth'smagneticfieldis l.8x 10-5T.State*0"*rAr, in practice,current-carrying wiresarenot seento lift off the ground.

tl' rt'4r )t rivl luoush 4 lrk of+ Tl* [orc ucdrt h, (u,'rr^4'cowy't42 (-)

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

,D*-> [,[u\ f.

k rn'a'[nhw &"' rfu'tqt'/

' ^l

a/

(*

(hl

ll marksl

L- r r l

gnt'nl .

papercollection

6 An unpolarisedlight of intensity1, is incident along the direction XY on two piecesof polaroids P and Q, which are placed so that the directionsof polarisationof P and Q are parallel to each other as shownin the figure below.

(a) State in terms of .I, the intensity of light emerging between P and Q.

Ir,

ll markl

(b) Determine the angle of rotation of Q so that the amplitude of light emerging from Q is half of the amplitudeof the unpolarisedlight.

I, 'i1}oo)

tl

L i, {'l* Y'f'otIi

b+ Gtlf V ttvtavTrr, /"r-

t, -\ ro,'b'

1". To" torn.0

( I"n)"'

.S .v Totv9'

(L), p '() ' L" cot0 0 , 6oo rgu

of rlnrsd

0"

f' rotW -b

l,'1

v

v

T. t 4,:frt'1"1'

j,r (+)--o +v=++v To, 4t - , L r ( t I n a " v ) .

26|)c

*W

f

p,l^t'

t4martrsf

A pvh-v v4 1awlo4thl.

iLt ; " r" " '

Nortt ,

;v

a W(v rif y , y

lutta\2 1;el

f . ra v " rO

p-^b4LJ

a

n -, h,4

pl4tvt hrzilor,l.tt " ""7' , /

papercollection

tovtxar,* . 12marrcs]

l

(b)Calculatethewavelengthof apartibleofmassl.B2x 10-28kgwhentravellingwitha speedequalto l0%oofthe speedoflight.

fL, lA"#

6.a3./,r-tq Jr/

(o't (t. gty,n.9 ) (3,atltos)

-/,

|

t'

l-8rr-to'

: l, t l

,l

Y t i' t r t ' t $

t3marks)

Y A fusion reactionis representedby the following equation.

lH * lH -*----+lu + iH Massof deuterium,1H:2.014102u Massof tritium. ?ff : 3.016049 u

Massof hydrogen,I H: t.OOZSZs u (a) Calculatethe energy,in MeV, releasedfrom the fusion reaction.

n a ;tn \^' z(L '0 14 lov) n ' - 4' o?|LavL o . -. An d . , B *Io 'e WFtl ' ilr l = ( ' o t' !gT4 ti q A s* : i 'o l 6o4c,u + 1' ao|$LSu -. . - .ro" f ( 1 \"' tt[Iq , g Ltt4 u z a*4#- +r z' r" o o t ( t tri n ) d *W" l +.0tJg4tr vr - b.oz

kffi

= t^t' - 1#54+ ortvl1

.,

|

ilr:

.

t^)) u],q :

olru4e"rvilil-fti

q' 2-tt.o fetoL'r[ . t t ' 1 1 0 ' ' u

llctu

r > - 4.oLti l ttl.

I

t f2martcs]

Y 2 [ + I

/

t ' t ' ilV '

t fy tt isr6^-rln^'(/>u-

ffi

4- a 0 4 l ) u

7. ,/ -a.t+S+ t.23

6v fo -, f 1 .6

t''

,.?-+ffi , z Mj -/

-b.tq

vl

" . --' rt.b.b*,on!.*#;rrns)

(b) Calculate theenergy released fromthefusionof 1.0kgof deuterium.

, €t^eq.

n

/h t roL{ro*q.o('

papercollection

SectionE[60marks] Answerany four questionsin this section. (a)

Define the term momentof inertia of a rigid body.

(b)

The diagramaboveshowsa disc of radiusR and massMis mountedon an axle

[2 marlcsl

supportedin fixed frictionlessbearings.The momentof inertia of the disc aboutits axis is ! rp

2

A light inelasticstring is wrappedaroundthe rim of the disc and a steadytensionZis exertedon the stringby a falling mass/n :2.5 kg. (i)

By usingNewton's law of motion, write the linear motion equationof the mass.

(ii)

fi markl By usingNewton'slaw of motionfor rotation,writetherotationmotionequationof

the disc about its axis. (iiD

[2 marksl

Provethe expressionfor the linear accelerationa ofthe disc is

(

zm )

13marksl

" = 1,*2*f (iv)

Hence,derivethe expressionofthe tensionTinterms of M, m andg.

(c)

If the massof the discM = 500g and radiusR : 0.25 m,

[2 marks]

find (D

the linear accelerationofthe disc.

(iD

the angularaccelerationofthe disc.

12marksl I markl

(iiD

the tensionofthe string.

12marks)

fi

^' \rtt-) $lrl l'nnr

papercollection

(a) 10 Sketchgraphsusingthe sarneaxis to showhow the potentialenergyU and the force hetweentwo atornsX' dependon the separationr of the atoms. On tne graph, label the equilibrium separationro. {3 marksl (b)

The potential energy [/ between the two atornsin a solid is represented by the

equation

N.

tX,W,.dh'

,w

tr

a J =---t)6

A

B

r'-

r-

r.\

\J \

whereI and B are constantand r is the interatomicseparation. (i)

Write an equationto show the relationshipbetweenforce F and potential enerry U and hencededucean expressionof Ffor the two atomsin the solid. 13marksl (iD

Determinethe equilibrium separationro betweenthe atomsin termsof A andB.

[2 marksl (iiD

What is the minimum potentialenergyU6n in termsofl

Statethe physicalsignificanceof Un;,. (iv)

14marksl

Find the separationof r at the breakingpoint of the solid in termsofl andB.

[Breaking point is where the two atomsare separatedcompletely] 11

(a)

andB?

13marlcsl

Define thermalconductivityfr and stateits SI unit.

[3 marks]

II __-_*-_

(a)

(b)

(b)

The diagramaboveshowsthe Lee's methodto determinethe thermalconductivity ft

of a glassdisc of thicknessx. At the steadystate,the readingsof the thermometerin diagram(a) are &and &.

(i)

Whatis meantby steadystate?

lt martcl I*I0/ (f, (ii) Why the glassdiscusedhasto bethin with a largecross-sectional areaandneednot -, to beinsulated? {3 marksl S'

papercollection

(c)

The changeof the ternperature0 with time r of the brassbaseas shownin the

diagram(b) is asfollow:

o l' c

tls

0

80.0

10

76,4

20

73.2

30

70.2

40

67.8

50

65.6

60

63.6

70

61.8

80

60.2

$11* N\^-

(i)

Draw a graphof 9againstt.

12marla)

(ii)

Fromthe graph,find the gradientat 0:72.5'C.

(iii)

Calculatethe thermalconductivity& of the glassdisc.

13marksl 13marlal

Given: Temperature &:72.5"C

\^n

Temperature &:99.4"C Diameterof the glassdisc d: 12.0cm

,/r

Thicknessof the glassdiscx : 2.00 mm

\

%

Massofthe brassbasem: lSkg Specificheatcapacityofbrass c = 390 J kg-I oc-t

J' n(

\'\ rS V

. r$ r

\^d

," C

\u

' \ut$

\,

(rr*F \

(l'i Po')

\

v9

N\$

s-, bltft'"'

t)'l

, o( "

ndnd'

u).{'

\." ,\

{v

(r"t

tv5

\tf

\\'lt

^ \c "l

\t/Y"

t

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t2

(a)

The diagrambelow showsan enclosedspacecontainingfive different charges.

-

Enclosed surface

,t-,\.

@5pC

O+pc

o: qu

Q,t*J.' \\{$s $ t

O trrc

tu6

\ I

t/g

t

O ,trc

o:pc

$^ (i)

What is the numericalvalue of the total electricflrx throughthe surfaceof the

(

enclosure?Namethe law on which your answeris based.Statethe units for your answer.

\;

13marksl (iD

How will your answerto (i) changeif the five chargesare groupedtogetherso that

they are very closeto eachother?

I markl

(b) The diagrambelow showsa hollow metal spherewith a positivecharge+Q at its centre.

6 k'

Metal Shell

sfr 'L 14''

Charge+Q

Hollow

p"'))

r

Metal Sphere (i)

Copythis diagramin youranswersheetandshowqualitatively thedistribufionof charges on the sphere.

{iD

b [2 marks]

In the samediagramas in (b)(i) , draw the electriclines , if any, insidethe hollow part in

\

the metal shell and outsidethe sphere.Indicatethe directionof the field with arrows. [3 marks]

(iiD

is known as an equipotentialsurface. (c)

I'

Basedon the electricfield lines drawn in (ii), explainwhy the outersurfaceofthe sphere [2 martrsl

5

0/

v'

In (b), the chargeQ is 5.0 pC and the outerradiusof the sphereis 4.0 cm.

(i) What is the electric field strengthat the surfaceof the sphere?

[2 marks]

(ii) If another 5.0 pC of negative chargeis placed on the surfaceof the sphere,how will the eleckic field in the hollow part insidethe spherechange?Explain your answer.

12marlcl

vL

papercollection

The graph in the figure below showsthe initial X-ray spectrumobtainedfrom an X+ay tube.

13

'1',

lntensity

*

-{nitial X-ray spectrum

Xmin

Wavelength

Copy the graph(includinglabels)from the figure aboveand sketchon the sameaxes,a new

(a)

X- ray spectrumfor eachof the casesbelow. (i) The filament currentin the X-ray tube is increased.

12marksl 12marksl

(ii) The potentialdifferenceacrossthe X-ray tube is increased.

(iii)The target elementof the X-ray tube is replacedby an elementthat hasa higher atomic

ll markl

number. (b)

Give reasonsfor the changesto the initial X-ray spectrumin the figure abovefor eachof the 13marks)

cases in (a), (b) and (c)

(c) The atomic energylevels(not drawnto scale)for molybdenumfor severaltransitionsare shownin the following figure.

0.0 keV -0.5 keV -2.6keY

-20.0keV If molybdenumis usedas a targetelementin an X-ray tube, calculate (i)

the correspondingwavelengthfor the Ko transition.

(ii)

the minimum potentialdifferenceacrossthe X-ray tube requiredto obtainthe L line.

[3 marla]

12marksl (d)

by a potentialdifferenceof 100V, determine If the electronsin the X-ray tube are accelerated

by calculation,whetherX-ray will be producedor otherwise.

12marksl

papercollection

il4

(a) (i) Explain what is rneantby radioactivedecay andactivity of a radioactivesource. f,2rnarlcsl

(ii) Define the half-life of a radioactivesample,and showhow half-life is associatedwith the decayconstant. {4 marl<sl (b) A radioactivepoint sourcewhich hasa decayconstantof 6.0 x 10-rrs-i decaysby emitting -particlesin all directionswith the sameprobability. The numberof o-particlesdetectedwithin an arcaof 2.0 crrt ata distanceof l0 cm from the point sourceis I 000 per second.By assumingthat

{f

* T

tXg

eachnucleusof the radioactivepoint sourcedecayto becomea stablenucleus,determine (i) the numberof radioactivenuclei in the point source, (ii) the fraction of the radioactivesourcethat remainsafter 50 years,

14marksl [3 marlcs]

(iii) the activity ofthe radioactivesourceafter 50 years.

[2 marksl

\qtu /t, 4