L.\ ,,
,{
l-
Lrst' gr 3I{:s-IcAI- ggNSrANrs Universai gravitational constant
(,
6.6f x 10-1i N mr kg':
r\cceleration due to gravir.v
c
9"81 m
Radius of the Earth
RE
6380 km
ME
5-98
x t0:{ kg
Mass of the Moon
idM
?.35
x
I Atrncsphere
P.trn
i"l$xl05Nn-l
Boltsmann's constalrt
k
l-38x10-?3JK-t
h{ass of lhe Earth
s-2
-t
x
l0?2 kg
Density of water
I
Specific heat capacitY of water
4200 J kg'1 K-t
Specitrc latent beat off,rsion of ice
3.3+xidJkg-t
Speclfic latent heat of vaporization of waler
?.?6x106Jkgt
C0
103 kgrn-3
Avogadrr:'s nrlmber
NA
6-02 v- 1C3 per mole
Molar gas constant
R
8.31 J
Stefa!-Boltzmant cofl slffi t Speed of
iight in vacuufil
""
5-67
Kr
rr:o1'1
x lo-8 W m-2 K'a
3"0x103ms-l
GO ON r{) THE NL.X-I I1\I
.I
--l
iiem 2 refers to rhe follrr* .,.-
Wlrtirlr 5.1. unit could be used to express the trilwrr \)l-u light buib?
l {Fr It') (llt
lA
I I
kg mr s'l kg m'r 5 l kg m: s-r
kgt-'
2_
Coplanar iorces with magnitudqs? N,24N and Xare ineQuilibrium- What is&evalue
ofX? tA)
(Bi (c)
(D)
3.
t7N 24N 25N
ilN
Which of the foliowing graphs applies tc a [ndy in motion butwithzeroacceleration?
x/m
6V
,{ bodv c.fconstiint mass rviii have unirlr r acceleration if the resu ilant fbrce actine on it
'\ btrtil
of ?.5
a net force
varies as shown irr the graph belo*'..
{A) '.8)
decreases unitirrrnly with jn..m',.^.
r'i+h
_,..,...-.J ',^il;-rtI.,
(ci
is consEnt
(lJ)
is
time ';h-
Force /ltl
A
prooonional to ihe displacemenr fiom rr fixed point
10
A body mcves in a circle
of,radiu-c r witli cenrripctal acceleration,o. lrs v6!sgi1y i5 i.. arrd anguiar frdluency is r_r. Which of the following eqrrafions for a are correct?
I would be
It-
a:fo
Itl.
e=vq)
{Al (B) (C) (D)
I,
il
and
Iand
given displacenlant
(F)
m
rC\
;6
o
is
Which velcrcity - rimegmph BF.$Trcpresens the motion of a falling sphericai body fiom rest throu gh
proportional to
glycerine?
,t
(A)l\
l.
..:l
I
f
tl Ns 5c Ns 70 Ns 140 Ns
ltt
tlonly
I and [Il oniy iI and {ll only
(A) i;
(A) (B) (tl) (D)
(
A constant l?rrce acts on a mass m, which is initially al rest. The velocity acquired fora
7.
* \_>
4 tt'-(B) l/
m
A racing car is mov i:":.g round a circular track at a constaftt speed of60 m s r. The radius
ofthetrack is 500 m. Whai ir he ratio ofthe
(c)
centripetal lbrce to the w,;:3;rt of the car?
(A) (d)
{c) {D)
Sfiirrre/s
The magnitude of"L\e nbmentum obtained
I.
(D)
2 3 4
8"02
Ql3
t2
7t"0
(D,
kr
l:
10
//t\
\,.
A-
A stone is throrvn lroqr A'ro D. Tlre stone follov;s a parairoiic pat! such that the highest
pointreached is B. C is a porntjust before it lands ar D" The verticai cornponent ofacce{eration stone is
{A) .t;B) {C) {D}
Two parallel forces act on a rigid body as 'lhe size ofthe slrown in the diagram apove. torqr.ie on the body by these forces is
iAi (E) tc)
Fd
IJ
Fx 2Fd
11"
moving energy c.ftre propelled objtcr A
boy pullson hissiings'hotwith
A parachutist af mass 80 kg descends verrically at a cottstanr velocity of 3-0 m s-r, What is the resultant downward force acting on her?
(A) {B) (c) (D)
the least at B the same at C and B maxirnunr atA greatest at D
A slingshot is a chiid's toy &at conve*s the strain energy of the stretched materia! into the
tD)
800N 56i}N 240'l{
0N
ofthe
a
forceof2tlN
and it extends by 7 cm. At what velocitv does the 20 g stone flY ofil
iA) 8.4 rn s'l {B) 70ms' (C) i6.7 m sr (D) ?.6 m s'r *.'rs
/1-,,'i,.,
'
\ -t11
,\, \.
i
tr-
l{
Th€ true value of a quanriry is
x"
This
!5
quantit-v is measured a iarge number oftimes and the number n. of particularvalues ofx. is *l-*^J^-:--.-. dtalt lJ.ves
Tiro sph*res. one olrnass nr and the other il
ol
rnass:t
are moving towards each orher w ith
velociry'.
v
A.
Which grqph below represenls measurenrenls ofpoor accuracy but high precision?
I,Gri
\ -'
1----.-
'-m\ (':l
\.",/
"lhe spheres have an ela.-"tir: collision. Which one ofthe foilo'* ing statemcnts is correct?
{A)
{A)
The totai kinetic encrgy atter impact
tB)
the
(Ci
The toralkinetic energy atter irnpact
iD)
Themagninrdecfihetdalmomentum
is |imvr. spheres srick together on impact.
is zero,,
(F)
bef'ore impact is r7rmv.
ileni 16 refbr: to the following graph showinE two oscillations.
Sisplaeernent
16.
What is ths phase difterence between the oscillations?
{D)
{A) tt rad (B) nt+ rad ({') !"o n rad {D) ntz rad 'x
item l7 iefers lo the vibrator belc.t which prodrrces stationarl. waves on a strelched
20
cable.
A. Young-s double-siit
expcr r,..pertbrm€d wirh white light incident on the -T.ha1i*ri.;-1-+ cli:-
i::-*^
-4^-iL,irrc !vrrudi -
max'mum isa
(A) ,
Vibrateir
l7
the ftequency ofihe vibrcror rs the speed ofthe wave?
{A) {F) {C.!
{!rl 18.
250 m
rt
500 m 75Om 330 rn
s-t
is 50
Hz
whiie fringe blue ilinge
Whar
TI
-Which
of t-he fbllswing can cofrecr thecondition knor-r,n as lolg sight?
{A) {S) {Ci {Di
s-r
s-t
Plan+concave lens Cylindrical lens Divergingnnrriscuslens Convergingmeniscuslens
\\&ich of dre foilowing observations indicares that s{rund waves are longitudinal?
tA) (E) iC) (D)
19.
green tnnie orange fringe
(B) (Cj (D)
.
22.
Sound waves are diffractedaround cornersSound waves carmot be prlarised"
Sound waves obey the laws
of
reflection. Sound waves are refuacted as rhcy pass f,rom cool airta warrn air.
pf sound, X and y, thal are in phasc are positioned as shown in the cliagram. They b'oth produce wavcs with Ti":
wavelengrh 2 rn and arnplitude A. What would be the amplitude of the sound observed at pcint P?
For a particle oscillating with simple hannonic rnotiqn in a vertical pla.re, which the following statements is NOTtrue?
{A} (Ei {C} {f})
of
The velocity of the particle is miminurn at the centre ofmotio(r ofthe particle. The total energy is condanr'llre acceleration of,the particle is directed towards a fi xed point. }he restoring force is maximum at ' the extremities of the rnotion.
tA)
VzA
(tsJ
2A
(c)
()
{D}
A
(,'I
-3, IJ
-.1
q) /l
i\
sound wa"-e cl intensitl' 1,. iras an amplitude of 30 mm. Another wave of the san:e fiequency but of intensi -v I. has an amplitude of i0 mrn" What is the vaiue of'
I
_-
,' 'r!^{
d .)
.\ A'1 j-*KI.,*"'
t<
interference ofsounC waves tt-'be obsen'ed?
:''
I,
:
{A)
l
Sources nrust be coherent,
(B)
Amplitudes of the wavcs must bc
(c)
Whves orrerlapping
{D)
.lifference ofone wavelength\!'aves overlapping musl be out ot' phase by n radians,
mus have
a path
8L q 26"
24"
(A)
similar.
i8) e ic) n tD)
\\ hich r;irh* folli.rwirig is )iOT a coi"rditic'n necessary for twc-source destructivc
is placed 5 cm
An object
in front ofsdivergrng
An air coiumn in a tube which is olosed at onB end vitlrates in its fundamental mod€.
lens
The amplitudc of the vibrations of the air can bc represented in magnirude and direction at various points by arrows witi a doi indicatirrg
(A)
,4
(B)
6.7 cm frorn the lens on th€ sanre side as the object 4 cm lrom the lens on the cpposite side of the object 6.? cm from the iens dn the oppositc side ofdre object
cf focal length
(c)
molecules?
{D)
The image is
cm lrorn the lens on the same sidc as rhe
a very srnall amplitude. Which diagram BEST represents the c)scillation of the air
2C cnr"
object
(A) lt.
A motorbikc emits an 80 dB ncise. The intensi{r of the sound *om the motorbike is
(B)
(D)
(A) tB) (C) tD)
10i2 Wm'r
l0{ Wrn: iOa Wm-? l0 Wrn':
l
-! \ panicie sscillat*;
JI
so Lhal its drsp{acemcnt
s iicn'r a fixcrl noirit is reiated to tinle t by th€
)(-, is a remperature filliasur1ll::: \ a subsmnce" X" and X,o, rvere determined
at the ice poin'i and steam point' The
jquai;on
Icfr r\Fr.r
r
A_
lf x is measured in cm and t is mcasured ilt s' rve can deduce that
moveswrdr Simple Harrnonic Motion
tAl
I and
irasa f'requencYo{2"5 has an amPlitude
lr)
ll
i-::':d* :Cll;'
Which
ol
IIz
of I 5 irtr
Bx 4' '
iA)
t/ n !:_ *'-..-+ 0 xr
of where surface i.bs on the earth's
A rrencir.rlum swings fteely with a period
ecceiciar.i'-rr tlue to gravity is g- If the pendultm were to swing in anctier ptace i'here bcceleration rlue to gravit-v is t'' what '.vixrid be the value of its new period?
o.f tB)
i/ t,,
i/l,/
r-;1,-') 4gt8
\/ o l_l
(Bi ^tr\ r (c)
i
"
ll
>
xr
about resoaance? It occu$ atthe highest fieqtency the oscillating sYstem'
of
lt causcsasignificant increase inthe arnPlitude of oscillatiort' It cccurs when the driver f-requency is close to the rratural lreqrrency
*ie oscillating sYstem'
(A) (li) ((l) (lly
'rt
\.
Which c}f the following statements itre
II
--
s/s'
(D) {tc
I.
:C
h
the lbtlorv;ng graphs BFS-f
xr:?
itloflly
F,
l:
tlescribes the relaticnship between 0" and
onlY
it and lll onlY
TRU
i
ralue X. is given b1
'11-'':- 11gq
I, lt and ItI
(c)
;:
thc Psrticie
!. ll" lll.
{t}i {f} (Di
ln'rhe'::nI
corresponds to
lqin5'rt
=
q ra
i and II onlY l. ll and i rurd lIIonlY tl and lll onlY
lll
of
€x
(r)t I
oXr
lf
A spherical biackbcdy ofsurtlce arca
A.
's
al
.1
Wlrich .rt tltc l,rll,r*itt;' \)pllr)ns tlir-r tlts ( ( )li.l{l ( .[1.\' rrttciit)lil€d'r'
(r
.u absolute iemperatuie 1 ,. lt is suspended ai lhe centre oia container,*\,hose rvails are at ternperatur€ T1.
rrrrlcrlrrls 1
j
('tt\'!i l'.\ t.l,lN
"1
I
f
he
NET rate of loss of heat bv 'radiation
ttom the body:s given by
(A) P *o AT,' (Bl P=oAT.+ (.Ct P:oA(T.-1',)* (tJ) -cP:c AiT,'-T.t)
I L
I t,r' I (rr)
What is the unit of heat capaciry?
(A)
i,.::'ll'1"'t
I
.
coppdr
A doublc luycr glass wrtll ha:; rr layer ol ulr t,rappcrl bclwcert it tus shown irt thc tliagrrrnr beltlu:
J kg"t |d-t
-*-;>(ilass
I 6 x lO-rm-; of a gas at a press$re of 1750 k-Fa is contained in a cylinder. The gas is
expanded at constant p.essure until th€ volume becomes 140 x l0jmr. How mtrch
Which filtithr)d of lrcat transfr:r is SICNIiTICAIII'I-Y redrr<;,*l hy the lir layer?
r.vrrrk ;s done by,,hc ga-s?
(A)
(B) (c) (D)
35.
ruhbcr diantund
8l1::*
..1,,,u,.,t
(13) I ks"' tq .i K-' (D) .i
34.
,j
| I rrrhlt:t
5'1 33.
l.ql"'
n,'rils.prr,ri,s
?i7kl
(A) (B) iC) (D)
"
245w 273kJ 317kJ
An adult at
rest has a blood pressure of This is rneasured in mm ofmercury" What would this reacling he in Pa? (llensity i 30/85"
.ofmercury = lli600 kg mr.)
(A) {B) {C} {r))
(tr.73i
I
11.73l
l.i_l}x lS
(i
l.l3}x i0i
:-:)x
iff
(i"73/ l.l3j r; 10" 73i
(onductirx {.orrvectiorr
Evagrralion Radiatitxr
\ 38
Which offie fsilo"ving isNOT an aa5umption used in *re Kinetic Theory of gases?
The averaEle kinelic enere-,. sample ofargon gas is 8 r*
temperarure of the
iA)
The volume of the rnolecules is
molecu{es is negligibie.
I'he molecules accelerate betw€€n
(D)
I'he duration of collision between
,.
ger-r?
(A) il3 K {E3) 386 K (c) 597 K (D) '870 K
nedigrble.
{ts) The atuaction between ihe (C)
,
lii','J. whur,"
collisions. molecules is negligibte.
il
4l
-a _
39-
In which ofthe {ollowing graphs does the shaded area show dre energy lcst during the loading and unloading prccess ofa polymeric
rnateriai?
P4\
(A) FAI {,
lu*
I
lr
I4
Lf-.<
P
rB)
F/N
t\! ,
L____-__._...*
dom
q*
t
trr i+
UI
I
{{-)
F/N
f
IV
NR
(D)
li'l
e/nnru
W
Y-
+
v-
+
Itr I + |
*_.o
v-
The above P-V diagrams represent ideal gas cyctes. Which pair of diagrams corres5nnds toNET work being done by the gar;'l
{A) iB) tC) (D)
I anct l} only t anci iV only lt arrd lll only
II and iV only
71
12
('aiculate the volume cccupied by one atom ot'copper if.it has a nrolar mass of0.0635 kg antl a density of 8920 kg mi. t
{,4) {tJi (C) (D) ;l
l.l8 x l0!t nrr 7. l2 x [0{'rn] 2.33 x l0't nr)
i
d4.
An all,ry is made of a mixture ofhlo m€t6ls' Metql A has a density of 8900 lcg m"r and Metai B has a density of 7S00 kg mi' What is the dcnsity of the alloy if Metal A has three timcs the volume o{'Metal B?
(A) (ll) (C) (n)
q.4 1 x-10'r: nrl
8350 kg rnrJ 8625 kg rn'r [i075 kg rn1 7950 kg, m '
-1
constant t, hns rrt rr, is aftached to it Another spring identicai to the first is hung parallel to the fust and th.e same mass m is hung across hoth. Which option gives the
A spring with spring extension x, when
a rnass
correct vaiues of extensioll and spfillg
Kerssene
mnstant ofthe combination?
'['he diagram above shows a U-tube containing two immiscible liquids, Which ststement aboui the arraflgemont is TRUg?
(A)
The kerosene exerts a Brealor
i(')
pressure at X than;tthe pre$sure exerted by the water at Y, 'l'he lvater exerts a great€r pres$ure at Y than the pressure exerted by tlie water at X, 'Ihe pressure at X and Y is eqtral to
tD)
'l'he,pressure at
(B)
0tm ospheric pre$sLrr€,
pressure at Y.
X is equal to ihe
[ -I-*-"-rt"; i sp".ts_.--t-*--l_---_+*- ""*,*tl
" i'^'l il2 xt2 | to
I ill() ltr( ':1(x)/
i
I 2x I ,, ltcrl | 1,"1 l--1--l l,u,
I
"-
IF VOTI T'INI$II IIIFOIT{, TIME IS CAI.I,ED, CT{TCK YOTIR \A/ORK ON TT{IS
():,,
-i
I
NST'
An objecl oi'mass, m, is nlovitlg !vith iiineiic
:
ln the relationshiP C i'Q- C lS a Ct)nstant. Which graPh rePresents the relationship tletween Q and P?
energy E. Which olthe tbilowing has thc same base units as its momenturn?
(A)
(A)
j*e
(B)
mE
(c)
n€'Z 'E_
(D)
m
@) 5"
Taking upwards as positive, which of the following graphs BES"I' describes a bail thar was thrown upwards and then came back down to th.esame hcight?
(c)
(A)
(D)
(B) ,
v
h Two velocity vectors ofmagnituds 20 krn ' and 40 lan h-r are to be $ubtracted- Which of the frrllowing isNOT apossible value forthe
answer?
tal
i0 knrh{
(B)
20 krnh-'
(c)
30kmh-'
(D)
40kmhr
(c)
'fhe base SI units ofspecific heat capacity arg
(D)
(A)
m2s-r K-l
(B)
kg rn2stK'
(c)
mz$
(D)
kgm?K-r
K'
COONTOTHENEXT
P^CE
77
.,1
A hammer thrower rnirkes -l complete
A tennis ball i:; given a horizontai vek:ciry ol 8 rn s'when it is hit at a heiglrr ol 1.8 m
er.olutions in 3.2 s . The distance bretween the hammer and the tlirorter is I .5 m. !!'hat
above lhe ground. It is in the air for
(A) (B)
017 061
{D)
2.e5 s 8-89 s
(c)
is the centripetal acceleration of tbe
s
hammer'?
s
(A) 0.17i m s: G) 29 ms) (C) 5.8 .m s'' (D) 92.5 rn s-:
Item.7 refcrs to the foilowing diagram.
"\M) a\ /\/
:
tl
->
-/ 7.
l2N1
befbre
\
10. I
collides rvith
,
represenft; the gravitational
I
a
(^))
velociry
stationary object of mass the two masse$ stick logerher and move with a common velocity v. The rnagnitude cfv is equal to a
2M. After collision
{A) (B) (C) (D) 8.
equations fiel
lJ
distance h from lhe surtbce of the Earth where r is ilre radius of the Earth?
ofa point
_./
An object of maqq M travelling with u
Whirh oi thc follorving
{B)
(c)
3u
"un tl3
{D)
a
r7
c o ---*-(r+h)r " tt
.'=(r+h)2., b b ''--'
f
?2
*,4 : cM J
\o
----";-' * t/
Q lL
v
Arlt ti
't
,\f
t,Lr -I f -llivt. ti lt' ., \'-1
'!
tl
,r -o':-o(r+h) -
\#a J |
i,
-,
f
*'a'
4-
-
= Cly\
,tl i L1-''
"
'f *t'' /:^-)
,
t'l
An objectmoving atconstant speed in a circle
of radius r turns througir
arr angle 0
(A)
v=Zrf'/t
A hot-air balloon moving upwards has a total weight of 200 N and a volume of 20 rnr. Assuming the density of the air outside ihe balloon is I .2 kg m-r, the NET upward force on the balloru is then approximafsly
(B)
v:
iA)
(mea"sured in radians) in a time
v along the tangent is given by
t,
-lhe
velocity
1i
(c) v:d-
{c)
24N 40N l76N
t
(D)
?40N
r0
2ni
(D)
(B)
v:-€" rt
GOONTOTHENEXTPAGE
()7
LAef l,? ret'ers
ti'
the Clagf,xr frclaw
l.f
r\
t1('{
I
__. .J a b !lU
lt\-
Pl,.,llr'('
(}:-. !r,lr!t4'L
rL,rL(
fi,xrl rcsr liir ;r flxeC clistance. 'fhe ki:rerit
-
cnc,ri:y rcquired b-r'the bc* of mass. m is
II\\
(
ri u lL_
\\
\\ _ t\
ir-ourid
\
\
A marble rolls off thc horizontal surface cfa table and {alls to tiie ground. \\4eich graph sixrws how the resu,ltant verLical fcrce acting $n the marble vsries with tirne befure ii hits
14
(A) (ts)
proporriilul to aG pri4:orlional to m
fcl
Dron()ftit n3l to
P)
indePr'trdentofm
.1
-rn
Which of the folkrwing graphs represertts th velociry-tirnc graph ofa bra.ss ball-bcariul when released rn a coirirnn of glycerinc?
&egormd?
(A)
v4\ I I
+*-----+r (ts) (Dl
(c)
,1 I
ji
i----tr
lr--.-
---- i-
l
(i()
ON
TOTHENI.;XT PAG1
is provided ivith 15 kW of A car traVelliirgi *, o "o.,r*l*clocit-v useful power. The driving force on the car is 600 N. What is the li velocity ofthe car? "iit
n *^'l
16.
(B)
5 Tns'
(c)
l0 mst
(D)
25 m
s-i
in a simple har-monic rnotion with amplitudeA and period
I
the
rnaxinrum veloclty is
(A)
l7
.
Av'I'
(B)
NZn'T
(ci
2n/N
(D)
2nA/-f
A particle moves wittr simple harmonic motion in a straight line, Which ofthe following graphs BEST represents the way in which the force F acting on the particie depends on the displacementx?
tA)
(B)
(c)
{o)
cooN
T'o't'HH NEX1
{iem ?2 rei'ers to lhe ioliorving diagram
A mass ol?50 g hanging at the errd of a s1;ring of spring consfart. k' markes ? i oscillzrtions in perioci ilthe 1 1 seconds" Whai rvouid be the gral'ity planet rvhere a to ttken 1\.eic system was % of thal on Earth?
a j
-s
t
r 1?l) :i:jls
1B)
4 \11./
II
(c)
42"
/l
What is the phase dill'erencc betlvee$ Waves 1 anelZ?
,:,) 4[*J' Acldld's swing ofmass l0 kg is oscillating with simple harmonic motion whcre the
1(l
.\I
'l
I
(A)
maxirnum height reached is 0 5 m above the
cquilibrium position. 'l'he following tablc shows pairs of eaergy values during thc oscillation \i/hichpaL isNGI possible?
rAr v'/
Ja.",tio*
(B)
;*dtr*
/ct (D)
{*ai-*
tem
2
a radians
23 refers to the followrng diagrarn"
F.ri-] KEIJ
FEIJ
(A)
r:-
@)
18
J1
tc)
JA
L-)
iD)
49
0
49
F
ll).
Ellstic rvaves in a solid are
(A) (B) {C) ini tl .
transverse iorgitudinal
Give the wavelengrh of the stationary wavo in tergrs of L if lhe rlislance befwecn points
E&Fi.s4L-
eith€rl-rarsve$eorlongitudinai neitbcr trdnsverse nor lorgiiudinal
Therefractive intlexoirvateris 1'13' What will. be 0re speed of liglrt inwater?
(A) (B) (C) (D)
2l
i.0 x
108 m s-l
2"26
x 108m s-'
4.0
x
1.33
(A)
4L
(B)
?,L
(c)
4.L
(D)
,j
3
t-
i08 rn s-'
x
iOE
m
s-:
7{ GO 1)2
t3B010icAPE2008
ONTOTHENEX|PACE
-824
itetn 26 refers to the follou'ing diagrant
"fhe distani;e between a node and a wave neighbouring antinode ilfa stationary is
eqla!
1* 25mm -;
t-r'
(A) (B) (C) (D)
the wa:Yelength
onequarterofwaveiength rwice the wavelength hatf ofthe wavelenglh
[tem 25 refers to the foilowing vibratior-rs ecrur air coiumns o f equal length-
iltltll
of 26.
t1;;:* ua
LL-
1
ffi l
he ratio
(A) (B) (c) iD)
12:6:3'-
1
:2
-the brieht separation debrueen the first and tlfth used t i"g* i. 2.5 mrn when the wavelertgth slits to is 6) x 10" m- The distance fiorn the olthe screen is ii"8 m, then the separation is slits two the
0.2mm 0.5 rnm 0"8rnm
l-0mm
When monoclrromatic li ght' of wavelength on aplane 6.1) x l0-7 m is incident norrna'lly
4
t:2'"4"3 4'.2
In a Young's two-slit experirnent"
(A) (B) (C) (D)
ofthe frequencies f, : f, : f, : f"rs
Young's Fringes
the iwo dif'fiaction grating, the angle between is40p' seconci ordcrdiffraction lines formed
"3:4.t
"3
What is the number of lines per rnillime tre ofthe grating?
(A) (B) {c) (D) 28"
187
?85 350
s36
W ln-? Two souncl waves have intcnsities 0'1 in their difference isths What and 5 W m'2' intensity levels? (A) (B)
(c) (D)
1.7
dI]
5 dtl l7 dB 50 dB
iU
Whrch siateiiieiri tsESi- expiains the
A comnosite bar of I materials of the mla.l conduclivities k,2k and lk" The sides ofrhe bar are lagged and hear is transferred fron-r Ieft to right as shoun in the diagram below.
ircrLlrrelce of corivection cun*nts?
(A)
i{ot molecules cxen greaier forccs
/n\
I)-^.'-i,.a
thari cold ones.
\.'',
(C) (D)
-ratinn
r
t,l\ll iL\l
conteiner and the container is allowed to rehrm to iis orginal temperature" What is the final pressnre ofthe gas?
r
(A) (B) (C) (D)
I
ll\i trll\l
I
l
I l\ I I l\l irlii\
-.i---l-ra,* _a *-_a
ofboilirig.
of gas at a pressure of 3-5 x 10s Pa. An extra 4.0 mo! of gas is pumped intc the
teFp
ttl--r
tn h.e
A container of fixed volume contai-ns 5.0 mol
composite wall?
tA)
ft"i,Jc
in constant modon. Heat decreases the density offluids tluough expansion so they mustriseThe movement ofbubbles due to the process
Hach iayer has thickness a and thc lemperature disribution is tl > t, > t? > 1{. Which of ihe flollowing diagrams BES'Idescribes th6 temperature gradient ol the
no'.ca-
i
_t .nosition 39
tE)
3.5 x I05 Pa 4"4 x 10I Pa 6.3 x 105 Pa 14
x
105 Pa
Which cfthe iollowing equartions represents theTO'|AL kinetic energy ot'one mole ola monatomicgas?
iA)
!:,. -' ?p11'
tlaJ
;Rr
(c)
Itr
3
I
(a
?.
(D)
2T
position
teTp (D)
"\l ii r:l la i I l\t I
t.L
i
--i.+a+t- -'1, .oosition
k_a-+_a
CO ON TO'THE NEXT PACF, 02138010/CAPE2008
29
sounri r.r'aves ,Jl the Saiinc li'eqrrr:trcy having amplitudes of. f cm and I crn respectiveli iLre moving torvards cach other Trvr:r
:,- .L,, -^-
l:- . TA^ ,.--,,lranr
var.v in loudness-
*le m?Lriimum
10
(A) tB) (c) (D) l0
*-:^L4 - r.r r\brr.
produced wili
-[.he
_]J
$r
l ri Lt.
r:;
lhe
(,,\) (t])' (t:) (t))
of
rninimum inrensiiv is
4/r 9t2 6t1
eti
34
llcai capacit! I-atent heat
S1u:cificheatcapaciry Specificiatentheaf
A solar llrmace has a concave mirtttr
rrl
collc'ctinp, ruea0.Bl/m'Z and fre average thenrrnl radiatiou frorn the sun reachi$g the eartlr is
abotit ?50 Wm-2^ A smali object with hc^l capzrcity i-rl' 1000 J K-' is heated by tho fumac.:
nearobjects is callcr1
from l0
31.
tt
rlrrrr'
ratio
'fhe inability of the eye to focus cicarly on
{A) 0r) (C) (1})
irilnc gi'/en lo l,he arn,tut ll ol l t,
..'rrt'rgy rrcedcC to raise tire tcmperatt.ttc r rl I k;4()i .:Lil]:,1ilr.lc€through i deglecoL i kt:llrn',
oC to
40'C. I he tirne
taken ii.rr tlrr:
hcating is
presbyopia
isigmxism
(A) (B) (C) (D)
nryopia hypermetropia
30 s 50 s 60 s t00 s
A geologist needs to know how the tempe.rature ofthe soil 20 m below the earth's
'l'he
11qILl5 reters to the diagrum belcw showing the change in temperalure of subst.ancc Q
surtbces changes throughout the day' thermometer he s*lects fr.rr this job is thc
*,ithtirne"
(A) (B) (C) (D) 32
the ;),r
liqr'ri
T/I{
conslant volume gas resi$tance thermocouPle
read!.ngs on a resistance thermomc'ter arc
follows ice point27.5 O steam point 73"8
f)
unknown Poirrt4l
"2
35 3)
What sectien
On the scale r:f the resistance thermotnctc.r
(A)
the unkncwn i.qmperafu.re is
0r)
(A) (Br (c)
tD)
29.6oC
A (t
((.i)
C
(ri)
D
42^0oC 55.8 oC
s9.0oc
I
r A boiler contains wate. at atmospheric
Which of the following satemerlts about an
41.
isorherriral proces-\ in an ideai gas are ir(Ie?
pressuie. Use the data brlow to calculete tke rvork done by the s:'srern in pmducing kg ofsteam (water vapour) at atmospheric
1
zero
pressrire-
T!:r cbaqge in
il
!41qt-n?! energy.
4[i
is zerc
Data: I kg of r,r'rter at 100 'C occupies l.0x l0-rm' i kg of steam at l0O "C and at
Iil.
-lhe
wor[ done by
the gas, lV, equals
the change in intemal energy.
aimospheric pressure occuPics
l.?m'
(A) tB) (C) (D)
i'he energy added by htating" Q, is
I"
(A)
I
(B)
llonly I arrd III cnly II and III oniy
1.,-
oJ
I
iD)
l5o0 J
only
l00x i0'J t"7x l05J
{tem 42 refers ta the diagnun above shcwing a hydrometer, a device that measures relative densiry.
Liquid X of densitY
Water 42"
What is the densrty.P
(A) (B)
(c) (D)
P
ofliquid X?
1.3 kg m-r
300 kg mr 1000 kg mr 1300 kg m'3
77 COONTOTHENEXTPACE 02
l]80l0icAPE2008
I2
{3.
Achilddrinksorangejuiceofdensitl p, using a straw held verticalty'. The atnospheric
pressure is P. and the child can lower the I^errsrv
^. rL^.^4( rr1v.!P
^g.L^ vl
^+-^-." L-. anO/
IvIAXIMUM kxrgth ofst-aw ihat would aliow the clrild to drink thejuice is
The
,
IA\
2P"
pc P
rBi ^r 4s iC') (D)
45.
Which one of the. statemenls aboul Cefcrrmation
(4-) (B) {C) (D)
-^-
ofsolids isNOT rue?
s,:l!d beha'.,es elesti*Il;.
I
Iooke's l.aw applies.
P
!r-
. )pg ri,
{leq44 refers to the ficllowing diagram
llhe diagram strowsthe fbrce extension graph foran elastic material. Whatdoesthe shaded region under the graph represent?
(A) (B) (C) (D)
TheYoung'smodulusofthematerial The tensile stress of the material Thetensile strain ofthe material "fhe strain energy ofrhe material
IF YOU FINISH BEFORE TIME IS CALLED, CITECK YOLIR IYCIRK ON THIS TA$T.
021380rO/CAPE2008
*r.
done is stored as strain cnergy, ontrc
.G
44-
if
parnanent deformation takes place after the force has been removed. Stress is the extension per unit leng*r ofthe material. It has no units. All solids are elmtic when small fcrrces are attached to themIn stretching a material, thc work
,i'"rubber l'rall ofweight,
J4{
is suspended
fiorn
a supporl ernd is being displaced laterally at an
an.qle, € ", from the verticai by a wind of cons&rnt tbrce (Ef" The ball is in equilibrium and the rension in the string is Z.
\r"'hii:h r:f the choices belorv gives the dirnensions of the universal sravit:tionri constant O ?,
(A) (B) (C) (D)
(c) (D)
(II)
Which of the fbllowing equations is correer?
(A)
1
T:W
T:
Wcos 0
(D)
T=
I{lcos
0"5 5
6
6,
12
lf x=3 mg and.y:9kg
then
(A) -y=3x10rr (B) !:3 x 103 x (C) y:3 xtffx (D) "y=3xloe.r
T:H
tL_)
kg-t 6-t t-r
in 0.060 kg is
(A) (B)
(B)
6r t-r
The number ofmoles ot'catbc'n -12 atorns
Tension (T)
Wind
kg-t
rn s-2 kg m{ s-r
I
In determining the density ofa cube, a student records the following measurements:
Length ofside,
/:3.0 -
0.1 cm
Mass of cube, m = I2.5 + 0.5 g The student then uses the equation O
=fi
to determine the density of the cube. The pefcentage erfor in the calcuiatecl value ofp is
(A) (B)
0.6%
(c)
7 o/o 140A
(D)
4A%
GOONTOTHENEXTPAGE 021380101CAPE2009 n)1
-4Item 6 refer$ to the dLagram a]lld informationlhelow
# A trolley is kavelling at a uni'fomr veiocity, v, rdong a horizontal path" from a point directl]' above a pointP on its pa&r.
A
lump of plasticine is relpased
The plasticine travels a vertical distance, h, and acquires a speed v (equal to tfuat ofthe troliey) before it iands directly on top ofthe holley and sticke on it.
Whatis the distance ofthe trolley fromthepolnt Pwhen thepiasticinebegins to fall?
@2h (B) ^l2E (c) h ('D) h
La
,
(r{ *
rh=f' -!\- -4
''{t
lrllo
i,..'l' '1-
/! -, ( ai
)
r\ [/ " ^t t^.
\l.l
,r'\
--r
J
t
l,-t
qt o?1'lRot
n/capF ?fno
GOONTOTHENEXTPAGE
-5A man throws a bail with velocity, u through the a jr towards his liiend who is 60 rn away. Which of the tbllowing graphs represents the veftical conrponent ofthe velocify ofthe ball whilst it is in motion?
GOONTOTHENEXTPAGE 02138010/CAPE2009
A light spring is pernranentiy
connected
behveen hvo blocks ollwood on a frictinnies_" surface as in the diagram belora,_
'l\
t0
o satclhres 5, and 5'_ aru orbiring arorurd i p!rr'.::t cf radi:s P. S, rnc",.cs juii aboi c ihe surface and J, is an orbit ofradius 4R. The value of the r:atio
'Ihe
V. '
masses of the blocks are 2.0 kg and 5"0 kg and they can move freely along a
(A)
straight borizontal track. The spring is compressed and the blocks are released simultarieousiyfromrest^ .
r
When the acceieration of the heavier block is I 0 m s2, the accelemtion of the lighter block
will be
(A) (B) G{ C(D)l 9.
q
\,i
I
(B)
)
(q)
La
.,itv\.'
'
I
!
i,'
'
,'\
.:
(D)-
'ri
't
5ms2 l0 m
s-2
20 m 25 m
s-'?
lt.
s-2
Thc tbllowing statements reFcr to
1
Which of rhe srarcmenrs betow tsEST]
describes lhe motion of a seostationaJ
sateltite? (A) an
INELASTIC COLLISION:
i"
The total amount of momentum is
il"
NOT conserved" The total arnormtofkinetic enerry is
m"
Orbitai speed of.!. --|-_;" Orbital specd ofS,
.
(B) .t.^) (D)
It moves with the same velociry
earth.
I
as1
the l Its geographical location changes asj the earth I Its acceleration is I
rotates. zero.
lrsangularvelociqr
is
eqrnl to that of
NOTconserved. 1
The total amount ofa momentum is conserved.
I
Which ofthe above slatemerts is/are .[RUE for an INELASTT C COI.L,ISION?
(A) (B)
(c)
I
I
I
Ionly III only I and III only
I I
lI and III only
I
I
,l 02 I 3lJO I ()/( :n I'l 1 1l(x)()
(';()()N
11)'t
illi NF;X,t,t,n(iti
I
-1-
11.
The
pla'k shown below
is
i'
equilibrium whcn acted on bv rhe forces shown
Which statements is/are hue?
l. II" IIl.
T+p=Ittr
p(x+y]:Wy Px: Ty
(A) (B) (Dr\ (-G,\ 13'
IonJy
IandIIonly iI
and
III onty
I, U and
III
A rock is tltown vertically upwards from the ground. Negleeting air resistance, the graph that BEST shows thE relationship between the kinetic enJ,rgy, g, of th-e rockld its height, ft, is:
(A)
E
02138010/CAPE2009
G)"
GOONTOTHENEXTPAGE
-tt
t1.
A van has mass //,. The van,s engine has a PUwcr uurPur ul ,l-. I lld LI-AS_l
I6.
-^wi*.'-
time lbr the van to be accelemted fiom rest
arnplitudel.
toaspeed,uis
{;)
mv
'/
,
D
(B)
Iilv2
(C)
MP
fD)
15"
A mass hanging fiom a spring with ftirce constant k oscillates vertically with an
2P
,a_ rnf
A studeut of weight 500N is planning a trip to the peak of Blue Mountain. From her stardngpoint, this will involve an increase in altitude of 1 800 m. She buys .high caiorie', energybars whichrelease I 000 kJofenergr when digested. Assuriring her body to be l0% effrcient, how manybars will she need to eat.
'Ihe I\{AXIMUM velocity on the mass during l.his simple harmonic motion is
(A)
for the necessary gain in altitude?
(A)
(B) (c) (D)
tnA
m
(B) ffe
I e
(c) | r;oo
eo e00
r,; F-^ 17.
The displacernent
ola particle undergoing
simple harmonic motion is given by
.r = 8 sin 0.4nl The frequency ofoscillation ofrhe
plrti"f*
i,
(A)' 0.2H2 (B) o.4HJ (C) 5 Hz (D) 8 Hz ,+4
021380t
0(]APF?ooq
GOONTOTIIENEXTPAGE
-918.
A system^made up of a iight helical spring to which a small mass is attacired, is forced to oscillate at different fiequencies,f in air-" The response is shown in the diagram below.
fo
I'requency
Ifthe experiment were done in an evacuated chambeq which graph BEST represents the result? (A)
.@
t9.
Iitationary waves are produced by supedmposiag progressive waves offrequercy 500 Hz. Successive nodes are separated by a distance of 2 m.-wrrat is speed of the progressive waves?
G
(A)
'
(B)
(c)
@
125 m s-t 250 m s-l 1 000 m s-l 2 000 m s-'
GOONTOTHENEXTPAGE
!-
t{l 20
The diagram bclorv shclws arl illstillllilll('{'lr" Ixrr;tIrrrttlI alonga suitrg.
.r
lr,rr \r rr
rvtrvc lravcllirlg
llom ieftto l'ight
wrrvI rlit.( lir)[
.
Which of the followitrg correctly describcs thc subsotll
,ar
tct rl
t t
rt
'1i'
rtt
r
I'arry, ot-the poiuts R and
5.
on the
sbing?
PointR stationary
PointS
rAl
uPwards
(c)
downwards dowrrwards
(n)' (D)
2t
upwards
downwa:ds stationarY
dowrwards
TwosourcesofrvatelwavesxancixgcnelatewaveswhichareoutofphasebylSo""
Ifthewaves
which ofthe following graphs fromXare of amplitude 5 m.and the wuves fiorn v arc ol arnplitude BOTH X andY? fiom eqrridistant is whi<;h particlc a of oescriues the oscillation 3 m"
"onectly
displacemenUm
displttcmcnt/m
* [---
rl)1
-
I
l---#*1n. I I
(
,0 ( )N IO.fHE NEXT PAfiE
- 11I
ltr I rt, r
!Al lll r ft f IIII
r
rir I y ( )l
sornd
is
directiy proportional to the
iirrrphludeoftheoscillation :,r Irirrc of the amplitude of the oscillation
rvlvr:tcngthoftheoscillatio'n ofthe wavelength ofoscillation
tr qrurr o
A rlarrrlrrrpi wove is setup
or
a stretched
strin$XJfas shown in the diaggam below.
lr'
W h lr I r
l
I
t I
rc
tirilowing statements is correct?
I
(
t )scillations of Points P and Q are out ofphase with each other. I'rrrticle atXarrives at Point Ji one period later" ( )scillations at PointsXand O ars exactly in phase with each other ( )sci llations at Points Q and S are exactly in phase with each other.
lrtl Itl
r
lt l llfl Itetrr
ld
rc
lcrs to the following diagram which shows
a
stationary wave on a string at one instant in
gliF
Wlrer Al tlll ll | tll tr I
f
r orr this stationary wave does anantinode exist?
l'otrly ()only ,lonly
/'andlionly
GOONTOTHENEXTPAGE ;tertrurAt,ti2oo9
I.-
A liquid X iloats in a contairter on top ot
J5
another'liquid )'" Lrght whose veiocity is
aa
What is the mtro of the intenslt-v of.lwo so|nds if one is 8.0 dB louder than tl:e otirer?
tr/
ssrikcs the boundary with an angle olincidence 9,,. In l-iquid X the angie ol refraction is Q and the velocity is I/ .
't
(A)'
-l '"''i ),'.,', !9) (c) 9r (D)'
29
0.63
l
80
i08.
.Accommodation in the huinan eyc retbrs to
(A)
the dilation of thepupii
03)l
light to enier the eye thc adjustrnent of lhe lens to focus
toallorvmore
on objecis according to their distance
(C) if the liglrtcrcsses
Which pair of statements is TRUE wavelength DECREASES
as the
(D)
in',rision
dre buuntlary'?
e>0 0>g a>g 0>a
(A^)
(B)
(t) (Di,
In
t-6
a
{/>v y>ll I/>Y v>l/
Young's two-slit experiment. light of
wavelength 500 nm produces fringes 2 mm
aparl on a screen. If light of wavelengJttr 250 nm is used and the slit separation is doubled, how far apart would the fringes be?
(A) 4 mm (B)-i 0.5mm (C) 1 mm (D) 2 mm ll
X-rays differ &om microwaves in tiat they
(A) .r(C)': _fB-I (D)
changingtlie shapeofthe eye so that the image fits on the retina the use of lenses to correci de&cts
30.
The near point
ofa defectiva eye is 30 im
from the eye" Ifthe normal near point is 25 cm ftom the eye, the fbcal letgth of lens needed to gonect this defbct is
(A) (B) JC) (D) r
:'1 5
cm'
25cm
'J
't
'i
30cm 150cm
31. Which of the following types of thermometers has the STDEST temperature measuring range?
io) (B) (C) (D)
Phdnumresistance Mercury in glass Constant voiume gas
Alcoholinglass
cannotbereflacted
aredeviatedbyanelectricfield have a shorterwavelength carmot be polarized
9r GOONTOTHENEXTPACE rl-r
I
380loiLlAFE2009
The iength of the liqr"rid colurnn itt a rrercury thennometcr at ice point is 15 mm and at fhe
32 i i
il
il1l
ir r
il il {i :l
it il il
{A)
16,6"C
; (c) tD)
87"8 "C
(B)
B8.l 'C
oC into a large block of ice at0
36' ':
,l
il
(A) (Bi.
rl
(IJ1
I
rl I
11"
5s ?o s 15os
nI.
ll
il
The boiling point of a liquid does not
(A)
Ionly
(c)
I and II only II and III only I, II and III
(D)
K
r3o .rn
/
r
A large rnetal cube has dimensiotrr'
I
(A) (B) (C) (D)
temperature remains constant' The triple point of a sribsiance has a
'
40cm 50cnt 60cm 75 crn
of the
surroundings"
.Gt
m'
temperatures 0, and 0- at its cnt'ls to
37
ll
t
An insulated rod of Metal '4 ol l' r'r"i couducts heat at the same rrtt' comPosite bar when it has tl"
Wtiilst a substance is meiting its
dePend on the Pressure
ii
Aninsulatedcr:mpcsitemetil rrxl""' 30 cm of l\{etal I with 4 t:titttlrr' 300 W m-r K and 30 cm ol ML t rl /'
-i---i-------*--
constant value. rl
^11 L{
2s
T'R,{JE?
I.
1
\ Q=r 3in'.*--->-9\.,..--
Which of the lbllowing statements is./ate ,l
0,24K 0.49 K
conductivitY of200 W
1l
ri
0.19
(B)
Tlrc specific
latent heat of fusion of the i.ce is 3 r 105 J kg:'. How long does it take to melt l0 g uf ice'?
!tc;,)
'
K
(A)
(c)
An immersion heator €ted at 150 W is fiued
]
r
bottom lfall the energy gaint:'l r" ' ' " to internal energy inthe watcr'i
q-\
i02 4 "(l
ol 5oo rr
the rise in temperature of tltt: ir 'it'
steam point is 22-0 mm. Whcn placed in a cup of tea the length olthe mercury column is 195 m.rn, What is the i.ernperature of the tea, as measured on the centigrade scale of this thermometer?
I
il
\4'atcr t-alis from a height
35.
-
12m Xl.2 m. ltis
the blackened cube is 780
'C
'
"
""'
ina
lirr rr'" at a tefilpt r;rttrr'
heated
What is the rate cf enettiv
lr
'"";
from the surface?
(A) (B)
(q) (D)
Jb.J KW
i20 kw
181 kw 602 kw
GO ON TO THE NEX'I' I' ^i'i 0213801OicAPE2009
3SWhichgraphl}ES.l.representsplessure.P.o{agasirsitlirlt..lttltr('lits'tlrasswhenthegasiSpumped intoacontainelof-fixedvolumeandthetemFelzrlul.clclliai|lsc()nstal]t'l
(A)
|
/'-'-
t/
L
V
:*-
QP Et lt'
t/ t
3s.
(D)
*r.n
NO'I Which of the following statements is the kinetic one of the trasic assumptions of
What is the pressure nf a gas of density
40
0.09 kg m-r and root-mean-square
theory ofgases?
(A)
(A) fB)
The attractive forces between the gas moiecules are negiigible '
@) (c)
Thl collisions between the
molecules are inelactic" The size of the gas molecuies are seoaration.
(D)
Gh tsl
gas
negligible comPared to their
41.
Thc duration ol a collision
is negiigible comPared with the time befiryeen coliisions.
velocity
of 1900ms-'? i .31 Pa 57.0 Pa
1.o8xlo5l'a 1.2
x
l o6 Pa
be The fust law of thermodlmarnics may writtenas LU:Q+W"
For an isothermal process this equation
.
becomes
(A) AU: Q (B) Lu : V/'
(c) 9-s-LU
.$)r
Q=-w
GO ON 0213801O/CAPE2009
TOTHENEXTPAGE
ILe:l42.refer"s to the follorving diagram-
42.
The meterial shown has length, l, and cross sectionalarea A. When a tbrce, F, is applied to the material it causes an extension, e, in the material. which ofthe tbllowing expressions can be used io determine the Young modulus of the material'?
Ft
@ E (B)
43.
FA el Ae
(c)
w
(D)
F
el
Whichofthe following statements about the molecularmodel ofliquids
L {I. III. IV.
r-\
Thoir molecules are packedclosely together. Neighbouring molecules ciuster together and there is clusters. fhe forces b€tween molecules are very shong.
a constant
are TRUE?
transfer ofmolecBies between
ThepatternofmoleculesisNOTfixed,
'l(4/ llandrVonly IB) IllandVonly (C) [ II and III only (D) I, IlandfVonll,
GOONTOTHENEXTPAGE ry2i38010/CAPE2009
r6 44
*{! refers to the foilowing diagranr which shows the force-extension graph ofa wire" Itef.n
The graph below was obtained by applying I
VaflOUS iuluub,
r, . ^ ..:-^. !w d triulv '
measuring its length,
1.50
l.5t
,.C ,r.:-r l\r'r er
oru ^r,d
/.
1.52
1"53
1
What information can be inferred fiorn the graph?
I.
The force constantoftte material is
1000Nrn-r.
iL , ilI. IV,.
2
e/mm
L
The ultimate tensile stress of the material is about 3 5 N' The strain aiXis I %The material obeyed Hooke's Law
45.
[Iow much work is done in stretching the wire fiorn an extension of I mm to 2 mm?
(A)
€\ ((c)" *"6i
0"015 J
o.o3or o.o4s J
0.060J
uPto30N (A)
(@:)
I nnd
IV onlY
(c)
II and III onlY II and IV onlY
(D)
itrI and
[V cnlY
YOUR WORK ON THIS TEST' IF YOLT FINISfI BNFORII TIMtr IS CALLED, CHECK
E1 021380i0/CAPE2009
Which
of tire quantittcs
Lrelorv
zlre
{"
(A) (B) (C) (D) 2.
(A) ,6x l0ri (B) 6 x 10:o
(C) (D)
I and II onlY
lll
and
" 19" " l0rs
thc uvelage velociry of a particle is zero, then the rlistancc it has iravclled
(A) (B) (C) (D)
! 0'l crn i 0"59
Length ofside, / = 3.0 Mass of cube, rn: 12'5
The str,rdent therr uses the equation
p-
11f
"l'hc to ,Jetermine the density of the cube perctintage enor in the calculated value ol'1r
:1.
6
If
IV oniY
a In detennining the dcnsity ofa cube studcnt records the following measurernents:
(A) (B) (c) (D)
(,
onlY
I and IV onlY
lI
tn-i The nunrber of
llunrintLtm atoms in a piece of alurlinirrin w.ith a voitrtno oL i 0 tttr i5 apprui'illlaieii
l{eiarivedensitY Force Length Refractive index
ti and
17 g artd its nrolat mass of alrtmirtiurn is
clcnsitv is 2?00 kg
dimensionless')
t. 11" lll. tV.
'I'he
a"6ol,
7% t4o6
6.
must bc zcro dannot be zcto is negative
may or may not be zero
A tennis ball is given a bolizontal veiocity of 8 m/s rvhen it is hit at a height I I m above thc gr.rund. lt is in lhc arrlbr
(A) (B) (() (D)
017s 0.6i
s
2.98
s
8.89 s
4A%
thc Giventhat the fbllowing quantities have irase units shown
P: kg m.r
Q; kg ms-z
R: kgz*':.-' lVhat quantitY does
(A) (B) (C) (D)
Pg
represent'l
R
Distance SPeed
Acceleration Force
(1{) rlN
TNTHF NIiYT PAr]P
-4Item 7
r"efers
attached by a string' which to the fbllowing inibrmation" Trvo ideniical masses are
passes over a ti'ictiorrless pulley.
[r]----n
777-7-777T1
M ,4
I
All 7
.
the graphs helow are draxn to tbe sanre scale'
which
(A)
pa.ir
of Body Q? of graphs below represents the acceleratiotr of Body P and the acceleration
"i
"l
t,[L-
a
rtime
l-+time
"l * "i
(D)
l-
'
,
,,*- [---
.,,*"
^n
nlYfnfirt\ID1ffDACE
\!'hicir ot'the tollorving pairs olconditions is true for an inelastic collision'l
i
I
Kinetic Energy
i
Slornentum conserved
(B)
conserved
{D) lnotconserved
,-- Jl^--,--- 1L,- --^1,-D ic*u.11i5 vrr I
-i
(A) conserved conserved
A man olmass 50 kg stands on a bathroorlt scal€ (balance) in an elevator lfthe elevator acc{:ll,erales upwards to I m s-:. What is the
10.
(A) (B) (c] iil)
3901\'i.
490N-
je0N
not conserved
Which of tile statements below BEST describes rhe motiotr of a geostationrry
11"
Which of the following equations gives the correct relationship Lrelween impulse and
sateflite']
lomenhrm?
iA)
(A) (B)
lmpulse = momenh:rn Impulse = rate cfcbangc
(B)
(C) (D)
impuise-changeinmomentum
(Cl {D)
of momentum
t2
,100N
lmpulse=(momenhrm)?
It movcs with the same velocit-v as the earth. Its geographical localion changcs as the earth rotates,
ltsaccelerationiszero" Its angular velocity is e quai to that of the"earth.
after 2 .5 seconds' which of the A man with a iiarachute jumps ftorn a plarre" FIe opens his pmachute with time t, during the first 6 vary could a" BEST represents how his vertical ruceleration graphs below
seconds of his fall'? (A)
{B}
(c)
(E)
qq GO ON TO TI{F. NF.XT PAGF
-6-
i3.
A body talts frorn a cLiiT Sti m above the ground" If it loses 25r/o of its energy overcoming friction. what is its velccity impact rvitb the grourd? [g = 9.8 N kgt]
(A) (B) (C) (D)
'
16"
When a particle oscillates in a str"aight iine
rvithsimplehannonicrnotion,tl'reperiodol
on
thgoscilla,tion is
(A) directly proportional to
s'r 28.0 m s'r 34,3 m s-r 39-6 m s-r
theorigin
(B) directly proportional to (C)
14. IfrristhemassofanobjectandEitskinetic (D) energy, then its iinear mornentum is (A)
*JE
(il)
zJi
(c) Ji
l7
. (D) "fr^E 15.
A student of weight 500 N is planning a trip up to the peak of Blue Mountain. Frnm her starting point, this will involve an increase in altihrde of 1800 rn" She buys "high calorie" enerp bars which contain I 000kJ ofenergy. Assuming herbody to be 10 oZ e{ficient how many bars will she need to eat for the necessary gain in altitude?
(A)
(B) {c) (D)
I e
e0 e00
.
the
acceleration of tbe particle
independent
of the frequency of
osciilation
independent of the amplitude
of
oscillatinn
The displacernent of a particie undergoing simple l.rarmonic motion is given by
a
p'
the
displacernent r:f the particle from
19"8 m
x =gsino.4
nt
I'he frequency ofoscillation oftheparticle is
(A) (B) (c) (D)
0.2142
oAHz
.sHz 8Hz
Itern l8 ret'ers to the tbllowing diagram
20.
TString
Which of the tbllorving events is associated with transverse rvaves but NOT longirudinal rvrtvcs.''
(A) (B) (C) (D) 21
18"
,
t Barton pendulum system used to demonstrate resonance, Which penduium would swing with the GRE,\TEST amplitude when the driver O is
The diagram shows
pulled aside and released?
,
Interference' Polarisation
Retlection Refraction
Sound rvaves with a frequencSz of200 I{z travel through a medium with a speed of 400 m sr" What is the phase dit*:reirce between two poinls which are 3 ur apart in rhe direction of rhe u ave'l
(A) A
rods
4 lfenrl-19 ref'ers to the diagrarn below which shows a snapshot ofa rope as a transverse
fB)
wavepasses along it from lett to right"
X^Y
,/\/z ---\-7 t9.
XYZ (A) (B)
2
) (C) ltr
?
Which of the loliowing correctly shows the directions ofthe motiou oipoints X,Y andZ on the,rope'/
A rods
(D)
rads
E rads
.
The foliowing displacemcnt-position gra,ph represents a stationary wave at two different instants of time. Displacement 22
+--)l !
TJ
(c)
tt
(D)
--) €-. -+
Pcsiti0n
What does the distance PQ represent?
(A) (B)
G) (D)
Halfthe velocity I{alfttre period Half thewavelength llalf'the ampliurde
23.
i\
wave of arnplitude I 0 cm has intensity l, . Another similar rvave has an amplitude of ,5cmandintensity[.. What is the valire of
t6
refractive indcx of rhe mediurn is
I,
(A) (B) {c) (D)
It
'
It'
(A) (B) (c) (D)
As light travelling in air enter"s a medium its speed changes to 2.4 x 10s m s'r. 'Ihe
2
0.60 0"80 1"2s 1"50
4 20 s0
27
For a dor,rble slit interference pattern using light, the separation offringes will increase
if Item 24 refers to the following graph which shoils a stationary wave on a string. Arnplitude
I. lI.
Blue iightis usedinsteadofrcd. 'fhe screen is moved away frorn the
UI.
slits. The siits are brought closer together
(A) I only (B) I and II oniy (C) II and IIi only (D) I,II and III 24.
Where on this stationary wave does an antinode exist?
(A) @) (C) (D)
28.
An object is placed 3 crn in front ofa diverging iens of focal length 5 cm. Where wiil the image be fourd?
Ponly QonlY Sonly
PandRonly
(A)
About 2 cm in front of the lens
(B)
About 2 cm behindthe lens
(C)
About
(D)
About -cm behind the lens
Two light sources are said to be coherent" The waves liom them must therefore have
(A)
thesame ftequency and aconstant
iu lront of the lens
1
).
phase difference
(B)
the same amplitude and a constant
(C)
the same wavelength and no phase diftbrence the same velocity and a constantpath difference
(D)
I
-cm 2
phase difference
AN r\\I Tr) "IsIJF ]\IEJ'T DA'iF
10 3"1
ln an electrical lnethod tbr determining the specific heatcapacity of a metal, the foilowing readings were obtained
JO
cr-rnrposite conductor rvith rnaterials of tlrernral conductivities h H2, kR has insulated
A
sides. Heat is translbned through it trom left L -l---- -,.^-ll. tti i-lBni iis SlrUl! ii ir l ills lll4t8r Jii i ucIU -
of metal supplyvoitage cun"ent tin.re forrvhich heat supplied temperature rise olmetal rnass
2 kg 240 V 3
20
+
lnsulation
+
Insulation
A Vz
s
l0 "C
Whai is the specific heat capacity of mctal?
(A) (B)
240'3x6.. 'K ---;Jks -r..-1
1
Each material has the sanxe thicktless. Which ofthe lbllowing diagranrs BEST describes the temperature gradient of the cornposite wall?
?l{Ia9 roo- l*-t 240x3x60 t,
ic) ^ {l)) 35.
3"lo*2jrpn-t,a-t 240"
3
t2
tt4
240x3x20.. -1....1 ikg 'K 2xl()
-
Water falis from a height of 500 m. What is the rise in temperature ofwater at the bottom ifall ofthe energy gained is converted to intemal energy in the water?
(A) (B) (c) (D)
(A)
t1
(B)
t2 t3
-t_i_
r"17K 0"1e
i\ -----f-----
K
0"24K A.4eK tl
(c) \ t3 t4
{D)
tl t2
tt t4
Gr) (-)NTO THF NFXT PAfiF
_l
1l 37
A contractot builds an otfice rrtndor'v
ol
40
height I i0 cm and r,' idth 200 cm '*ith a glass -fhe temperatrire pan* of thickness 0.5 cm" difference across the giass is 15 K and the
K'r.
rhe tollorving e.iualrorts can be used to
rA)
Calculate the heat energy
per second conducted through the witrdo''v.
(A) (B)
ic) (D) 3ll
t
1"63
kW
5"8)
kw
63
(B)
i-l:4
k\v
5d5kw
f(ci*c,'+ +cif
(D)
sphere has an absolute is hung in thc centre of an enclosure whose walls are at a higher
A srnall black
absolute tellperafure T?" The net rate of gain
of therrnal r:nt:rgy bY the sPhere is
4I
proportional ttr
(A) (T,)' (B) (r,)o (c) (r,)4- (r,)4 (D) {T" *.T',)'l
1i--Tlrv
(D)
kgm'r up to a depth of 3.0 m? "[Atm.
(A) (B) (C) (D)
molecules in
(C)
What is the total presiiur€ on the base of a container ofcross-sectional area 5.0 m2, ifit is filied witJr ethyiene gylcol of densif-v 1120
Avogadro's number is the number ot
(A) @) '
lc, -c:"\l-- ,v-F,'+'c:, - --{l
IrV
temperature T," It
39
o1
of
determine ilre r:m.s speed olthe molecules'J
thermai conductivily of the glass is 0"65W rn-'
.gas cr;nturirts N molecLrles. 1'hc spec-ds the nrolecules are Cl. C2.,., C*, Which
A
x 104 Pa 67x104Pa l-0 x lOs Pa 3"3
t.l3 x
lOi Pa
Itern4! reij>rs to the fallowing diagram.
one litre of gas at l.l"T.P one mole of a gas
onegramofagas onekilogramofagas
Press: 1.0 x iOi Pa]
A
*-**-=-+-
-<--/ 42.
I and crosssectional areaA. When a force F, is applied to the material it causes ar extension e, in the material" Which ofthe following expressions can be used to determine the Young modulus of the material? The rnaterial shown has length,
(A) (B)
(c) (D)
FI Ae
FA. ; Ae
rt el FA
GOONTOTHENEXTPAGE
tl
-1243.
l'our diffbrent liquids are poured into iclentical measuring cylinders. The diagrams show the heighe of thelicluiclsandtheirdensities. WrichliquidexertstheLARGESTpressureotrtlrcbaseofitsmeasuring cylin dler?
{A)
lr
H
2
{cm3
(B)
1.6 g/crn3
10 cm
(c)
(D)
l=tr"'"'
Ell.:.:-'
1tl{'0"' ]fl
Itgmj[Srefers to the follou'ing diagram.
Strain
'Ihis graph is MOST likelyto applyto
(A) (B) (C) (D)
steel glass fibre an elastic band
polythene sheet
e/mm
45.
The iigure above shows the force-extension graph of a wire. How much work is done in shetching the wife from an extension of 1mm
to2mn?
(A.) (B) (c) (D)
0.015 J 0.030 J
0.&t5 J 0.060J
IF YOU trINISH BEFORE TIME IS CALLED, CHECK YOUR WORK ON TI{IS TEST.
0?
I
lttOl0/cA PLi20l0
3Itenr J relcrs to the foilowing quantities with their busc units-
A rubber bail of weight, W, is suspended from a suppon anci is being dispiaceci iareraiiy ar an angle. 0 o, from the vertical by a wind of constant force, H. The ball is in equilibrium and the tension in the string is T.
P: kg rrr
1
Q: kg m s'2 R: kg: 6't st
,/// 3.
What quantity does PO represent? R
Tension (T)
4.
Wind (H)
(B)
(c) (D)
2.
Force Distance
(D)
Acceleration
The number olmolcs of carbon -12 atoms in 0.060 kg is
(D)
0.5 5
6 12
Wcos 0 lVcos 0
Mary is on her way to New York and wants to ensure that her suitcase does NOT exceed the 50 kg limit. She stands on the scale and finds-her mass is 55 kg + lkg. She next lifts her suitcase and the mass changes to 104 kg
(c)
(c)
T=W T=H
T: T:
Speed
(B)
(A) (B)
Which of the following equations is conect?
(A)
(A)
+ lkg.
5.
Ifthe average velocity ofa particle is zero, then the distance it has travelled
(A) (B) (C) (D)
is negative must be zero cannot be zero may or may not be zero
What is the mass of her suit-
case?
(A)
49kg+ I
(B)
49kg!2kg
(c)
50kg+1kg
(D)
5lkgt2kg
kg
I N
4
WhatisthegravitationatJieidstrengthofapiarretwh<)scmassisone-tlrirdtirat
tnaior*tJg"tttr'ri
. 16 (A) nC
(B) 1s rC) 4s -l
q
(D)
4C
llgmJreferstothefollowinggraphwhichshowsthemotionofaballasitfallsfromaheighth' and bounces once V(ms-1)
zo 15
10 5 o.z
o.l
o.o o.e
t
1.2 1.4 1.6 1.8 2-6
2.4 7.6 2.8
3.8 4.n 4.2 a.a
3'.n
Time(s)
-5 -10
,15 -20
was released? What is the height from which the ball
(A) (B) (c) (D)
10
m
20 m
2!
^
40 m
GO
()2r38010/CAPE
20ii
ONTOTFIENEXTPAGE
€ -)llern Erefers to the following information.
A ]ight spring is permanently
connected
frictionless surtbce as shown in the diagram below.
between two blocks ofwood on
a
11.
A truck moves off from rest on
a straight horizontal road. The resultant fbrce acting on the truck remains constant. Which of the following graphs shows the variation of the momentum of the kuckwith distance?
(A) The masses of the blocks are 2,0 kg and 5.0 kg and they can move fteely along a
stiaight horizontal track. The spring is compressed and the blocks are released simul laneousty fiom rest. 8.
When the acceleration of the heavier block is l0 m s-2, the acceleration ofthe lighter block will be
(A) (B) (C) (D) 9"
(B)
5 m s-2 10 m s-2
4
20 m s-:
25ms?
(c)
A rocket in gravitv-free space burning 5"0 x
102
-+-----+
kg of fuei per second^
8"0 x 103 m s-t relative to the rocket, whose mass is 2.0 x 105 kg at that time. What is its acceleration?
10.
10 m
s-2
20 m
s-2
400 m 2500 m
s-2
--''
6I
al I
is
The exhaust gases are expelled at
(A) (B) (C) (D)
El al //
Distance
t
(D)
El // El ./ El ,/
at ./ I
Distance
s-2
Which of the following statements isNOT true about an object floating in a fluid?
(A)
The resultant force on the object is
(B)
The weight of the object is equal to the weight of the fluid displaced. The upthrust is equal to ttre weight ofthe fluid displaced"
(C) (D)
zefo-
The upthrust is greater than the weight ofthe object.
\\3 GO ONTOTHENEXTPAGE 02138010/CAPE 2011
-6Irem 12 refers to the followi.ng diagram which shows lorces P. T and W.
12.
i. Ii.
T+P:W
Lhe
(A) (B) (C) (D)
I only
P(x+y):Wy Px: Ty I and II onlY II and III oniY I, Il .rnd III
If p is the momentm of m, tben the expression
an object of mass,
^2 P
has the same
unit
asm (A) (B) (C) (D) 14"
plank in equitribrium when acted on by
FJom the diagram above which of the following statements is/are true?
ru.
13"
a
If m
15"
A slldent of weight 500 N is planning
a
trip to the peak of Blue Mountain" From her starting point, this will involve an increase in aititude
of
1800
m.
She buys
"high calorie" energy bars which release energy force impulse acceleration
is the mass of an object and E its
energy, then its linear momentum is
t_
(A)
nI{
(B)
zJm
(c)
J*e
(D)
.F*
1000 kJ ofenergy wben digested" Assuming her body to bc 10% efficient, how manY bars will she need to eat for the necessary gain in altitude?
kinetic
(A)
(B) (c) (D)
1
e
e0 e00
rr'
r
GO ONTO THENEXT PAGE 02138010/CAPE 2011
Er gol Which ofthe following graphs BEST represents the relationship between totai energy, line with s a straight in moving parlicle a of energy, E, kioetic eneigy, Eo und displacement harmonic motion? (A)
Displacement
Dfuplacement
L7.
The displacement of a particle undergoing simple harmonic motion is given by
x:
8 sin (0.4 nr) where x is in metres and /
in seconds'
The frequency of oscillation of the particle is
(A) (B) (C) (D)
0.2}]2 A.4Hz
sHz
8Hz
GO ONTOTHENEXTP
Ite_m
1{ refers to the foilowing infonnation.
A system made up of a light heiical spring to which a small mass is attached, is forced to oscillate at different fiequencies, f, in air; The response is shown in the diagram below.
If the experiment were done in an evacuated chamber, wirich graph BEST represents the resuit? (A)
(B)
/\ Frequency
Frequency
Frequency
Frequency
GO ON TO THE NEXT PAGE r801O/CAPE 20l
l
-1021
.
The pdnciple of superposition of waves states that when two or more waves meet at a point, the resultant disPlacement is the
(A) (B) (C) (D)
difference of the displacements of the individual waves product of the displacements of the indjviduai waves sum of the displacements of the individual waves squate of the displacements of the individual waves
Wiricb nf the following statements concerning sound and light waves is correct?
(A) (B) (9) (D) 23"
Both sound and light waves in air are longitudinal. Both sound and light waves in air are traruverse. Sound waves in air are hansverse and light waves are longitudinal. Sound waves in air are longitudinal and Jight waves are toansl'erse.
A communications satellite sends informatjon to Earth in tbe form of electromagnetic waves in bursts of 5 ms duration" If the wavelength of the electromagnetic waves is 2 x 10-6 m, the number of wavelengths in EACH pulse is approximately
(A) 7.5 x 108 (B) 7"5 x l01i (C) 3 x 1016 (D) ; -lxl0'e Item2! refers to ttre follotving diagram which shows
a
stationary wave on a string at one instant
in time. Amplitude
Distance
24-
Where on this stationary wave does an antinode exist?
(A) (B) (C) (D)
P
only
Q only S
only
PandRonly
GO ONTOTHENEXTPAGE 02138010/CAPE 2011
-9Item 19 re lers to the following diagram.
_-/-/-/t .5
a
4r
-_L Ial Li:l
LB_I mass, 2m
-mass, m
19
20"
Two sources of water waves, X and Y, generate waves which are out of phase by 180". If the waves from X are of amplitude 5 m and the waves ftom Y are of amplifude 3 m, which of the following graphs correctly describes the oscillation of a particle which is equidistant f}om X
andY? Displacement(m)
What is the relationship between the periods ofA and B, \ and To respectively,
if
the two springs are similar?
(A)
r:lt .A
(B)
f^:
^B
'
1
t*
Displacement(m)
Ji (c)
q= .,6r.
(D)
T^
:2T"
(c)
Displacement(m)
t-t
ffii-" I
t\f GO ONTOTIIENEXTPACE ().2I
]liOlO/(lAl'lr l0l
l
I '
rl
Itenr .]2 reibrs to the lbllorving graph.
Which oItire lbllowing staternents rcgardillg Ienses isiare correct?
Lengthlcnr
L
A converging lens ahvaYs lorms an
ll
Al
{
3d.0
irnage bigger than the object.
object placed in tiont of
converging iens can tbrm
a
a
virtual
image.
III
A diverging lens can form a real image ofan object Ptaced in front
oiit.
(A) (B) (C) (D)
'Iernp/oC
Ionly 32
II oniy I and ltrI oniY ll and IIi onlY
(A) G) (c)
Thc near point of a defective eye is 30 cm iiom the eyc" The normal ncar point is 25 cm liom the eye. The focal length lens needed to correct this defeci is
(A) (B) {C) (D) il
5
ofthe
Which instrumeni is MOST suitabie tbi measuring rapidly changing temperature?
(A)' (B) (C) (D)
(D)
cm
25 cm 30 crh 150cm
The graph shows how the length of the mercury in a thermometer changes with temperature. The tempctaturo which corresponds to a length of i0.0 cm is
33
15
"c
2OoC
25oC
30"c
What is the name given to the amountofheat energy needed to change I kg ofwater at 100 oC into steanr at 100 "C?
(A) (B) (C) (D)
MolartreatcaPacitY Specific latent heat of fusion SpecificheatcaPacitY Specific latent heat ofvaporisation
Theresistancethermometer
Themercury-in-gla;sthermometer Tbe thermocouPle
Thealcohol-in-glasstherrnometer
t0l GOONTOTHENEXTPAGE
11
When measuring the speed o1'sori:rd in air',
2i
different vibrating tuning fbrks are held
(A) (ts) (C) (D)
over the open end ofa resonance tube and the length of air column loweled until the
first loud note is heard. The following graph shows how the resonant length varies
i with . Jrequency --
X-r'ays differ ficm microwaves in that lh,
28"
cannot be reilacted are deviated by an electric fiekl have a shorter wavelength cannot be poiarized
Standing waves are producecl in a 10 m ior stretched string. Ifthe string vibrates irr segments and wave'velocity is 20 m s-r, tl
frequency is
(A) (B) (C) iD) 29
I-o
L
26
end corrcction of the tube amplifude of the sound wavelength of the sound
shortestresonantlengthofthctube
30"
(A) (B) (C) (D)
0"35 dB
t'16 c,B 2.0 dB 3"5 dB
Accommodation in the hurnan eve relb
(A)
sends down a pulse of sound to measure the depth of the sea 't-he echo is detected 0..1s later. Assuming that sorurd travels five times laster in sea-lvater than in fhe air, how deep is the sea at this point?
:
The amplitude of a wave is increased. fi
to the
A ship
(Speed of sound in air
5 Hz
l0 Hz
(A) (B) (c) {D)
Ihe value of the intercept, L", on the f.,a.ris indicates the
(A) (B) (C) (D)
2Hz 4bIz
dilation of the pupil to ailow mor light to enter the eye adjustrnent of the lens to focr
(B)
on objects according to tho
(C)
330 m s ')
(D)
'
distance changing ofthe shape ofthe eye s that tiie image fits on the retinr use of lenses to correct defects
i
vision
25 m 83 m
248 m 1650
m
3l
Which instrument is MOST suitable fi measuring
(A) (B) (C) (D)
a
rapidly changirrg temperaturt
Thermocouple Resistancethermometer Alcohol-in-glassthermometer Mercury-in-glassthermometer
GO ON TO THE NEXT
PAGTT
32
'l ltr l, rrgrl' t 't' ! ' :i !: ll,'r",,,':: ll)fltlrr\ l5 tttttr,ttt,l :ri r!,' =" -" i: :::! Wltt'tt pl'1,.,1 i" '. ',1' ! r ' !1" l' irt lli "l tlte ttlrl llli r ,'lil,lr .' l -t !!,trr \\ lr'rl r ' lltc lt'ltt1r;'lttlttt, r,l'lr r',i :i rrr"r'rrrti rl llt tltt t lrtlrpr,tl, , tl "l llrr rlr' "r'r'.rrrr I' !
Mr
,
l',rrr,l il rllr tto lllcttltltl ( ll( ll'\t ('lll, I llt!' ,,i
.
ltitt H/ li Nl{l' l().' I
irr , rrr lrltctl sVt,l('ttl
lr .rr
rrrl'llrt ;yrilottt. Wlttt:lrol lltr'l0ll,'u
:,1;rlr
rrt(trl:;,s lruc'/
(n
)
I
(A) (ll) ((l) (l))
li ;tllorr,,l
r,
(ll)
t,'
rrr1,
I'ltcl.crnpcral.rrrc(ll'lltt 1-1;l,rk'r tr'ir;r'. as work is dttttc [r.Y llr,' 1',;rr.
Work is rlone fil, lltt' ['.;ts :,o llt,'
kinetic encrgy ol lltt'I'rrr'
r
molecules irrcrt::rscs.
r
(C)
The internal energy ()( th( l',:ri increases as work is rlotrc tttt lltr'
{
gas^
(D) 33.
An itnntctt;tlrr ltr jtli l l;rl,,l irt l'i() W rs rrl{1"( llle ffttedintoitlttt!,r'lrl,rrl,rlr' specific lalttttl ltt-irt of lil'.r"1 "l lltI rt t' ts 3x105"Tkg r llurr l"ti!'rlr* rl l'tl'r' lrrtttt:lI
(A) (B) (C) (D)
A contractor builds an of0ce window o1 height i50 cm and width 200 cm which contains a glass pane of thickness 0.5 crn. The temperalure difference across the glass is 15 K and the thermai conductivity of the glass is 0"65 Wm-rK r.. Calcuiate the heat energy per second conducted ihrough the
2s 5s 20 150
constant.
37"
10 g of ice'l
No heat enters the systenr s() tlrc temperature of the gas rc:rlrititts
s
s
window. 34"
The Si unit lirr lx:;tl (:;rl);l( ll\/
(A) J kg' (B) .[ kg rK G) JKI (D) Jkr:Kr 35"
r:,
'
(A) (B) (c) (D)
s85J 58s J 5.ns kJ 585 k.r
Water falls l'rom rt lrt'r1',lrl ol 5{X) rn. What is the rise in tempcral urc ()l t l)(: will!:t ;l I I he bottom, if all the energy gaino(l is cottvct tctl to intemal energY in the rvatcr'/
(A) 0.19 K (B) 024K (c) 0.4e K (D) r. 17 K
(iO 0N TO THE NEXT PAGE 02138010/('n l',l' .)o I
I
38.
13
-
Which graph BEST represents pressure 'P' of a gas as a tunction of its mass when the gas is pumped into a container of fixed volume and the temperaturc remains constant?
l/'
(A)
V (B)
(c)
Pl
t/ t,/ l,/
./
t/ '
Mass
Mass
(D)
I
t\
t\ Mass
39.
In the Kinetic Theory for an ideal gas, lvhich of the following statements is NOT a
corect assumption?
40"
A gas contains N molecules. 'Ihe speeds of the molecules are C,, Cr."-, C"" Which of the following equations tan be used to determine the r"m"s speed of the molecules?
(A)
'
The duration of collision
rs
negligibie compared with the time belween the collisions.
(B)
(A)
The volume of the molecules is
negligible compared with the volume in which they move.
(c)
(D)
The moleculds have negligible
(B)
athaction for each other.
The molecules have negligible momentum change on collision with the container wails"
(c)
(D)
G? + cl +...ci)'z
r\r GO ON TO THE NEXT PAGE 02138010/CAPE 2011
t4Igls
41 refers to the fbllowing
diagram.
.13"
to gls at pressure
p
mean square speed of the helium atoms.
liqdd ofdelsity
41"
Helium gas is kept in a container at a of L7 x 10r Pa" Ifthe density of helium is 0"92 kg mr, calculate the root
pressure
ope! to atmospher€
In the U-tube manoneter shown above, the pressure at X is atmospheric pressure (po) and the liquid in the tube has a density of p, T.he pressrne at Y is equal to the pressure, p, ofthe gas. The gas pressure p is equal
(A) (B) (C) (D)
9
44.
m s-] m s-i m s-' m s-l
Which of the following graphs
BE,ST r€presents how the extension of a ductile material varies progressiveiy with the load attached?
to
(A) (B) (c) (D)
248 330 430 745
Load po + hpg Pn -
t/
Il./
(A)
hpg
hpg pA
Extensiol
Itqm 42 refers to the following diagram.
Load
(B)
r---|>
*-"42"
The material shown has length, i, and cross-sectional area, A. When a force, F, is applied to dre material it causes an extension, e, in the material,. Which of the following expressions can be used to determine the Young modulus of the
l-'
I
Extension
material?
(A)
F/ Ae
(B)
FA
(D)
el
(c)
Ae
FI (D)
el FA
GO ON TO THE NEXTPAGE 0213801O/CAPE 201 I
-15Item 45 refers to the foliowing diagram"
The figure above shows llrc fbrce-extension graph of a wire. I low rnttch work is done in stretching thc wire from an extension of 1
mm to 2 rnnt'/
(A) (fr) (c) (D)
IF'
YOU FINISH BEFORN'NM
tr:,
l5
.l
0.03()
.1
0.045
.l
0.(X'0
J
0.()
IS ( :A I,I., It: I),
CI
HECK YOUR WORK ON TIIIS TEST.
rlE 02138010/CAPE 2011
