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c I (:)2010 U1 P1
CAPE.,;Physics
1.
Which of the quantities below are
dimensionless?
I.
2.
4.
1
IL
III.
IV.
Rela:tive density
Force
Length
Refractive index
(A)
(B)
(C)
(D)
I and II only
II and III only
I and IV only
II and IV only
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5.
In determining the density of a cube a student
records the following measurements:
m
. l'
6.
The student then uses the equation p = -
(A)
(B)
(C)
6 x 10
6 x 1026
6 x 1027
(D)
6 x 1028
':\
i'
must be zero
cannot be zero
is negative
may or may not be zero
1·
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l ,'.
A tennis ball is given a horizontal!vrlOfity of
8 mis when it is hit at a height L8:m'above
the ground. It is in the air for
IS
(A)
(B)
(C)
(D)
0.6%
7%
14%
40%
i
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If the average velocity of a particle is zero,
then the distance it has travelled .
to deteqnine the density of the cube. The
percentage error in the calculated value of p
(A)
(B)
(C)
(D)
I
25
(A)
(B)
(C)
(D)
Length of side, l = 3.0 ± 0.1 cm
Mass Of cube, m = 12.5 ± 0.5g
3.
The molar mass of aluminium is rp g:and its
density is 2700 kg m.J. The nl).rnper of
.aluminium atoms in a piece of al~ujn with
a volume of LO m 3 is approximate!~ I
,
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0.37 s
0.61 s
2.98 s
8.89 s
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P: kg m.,
Q: kg ms.z
R: kg 2 m.J s·'
represent?
R
(A)
(B)
(C)
(D)
Distance .
Speed
Acceleration
Force
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. Given that the following quantities have the
base units shown
What quantity does PQ
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Item 7 refers to the following information. Two identical masses are attached by a string, which
passes over a frictionless pulley.
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All the graphs below are drawn to the same scale.
1.:1
Which pair of graphs below represents the acceleration of Body P and the acceleration of Body Q?
a
a
(A)
Q
p
time
time
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a
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a
Q
11
p
[: l'(B)
• 1<
';·
,,
time
l:t:
time
1
1
I
a
a
Q
p
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\(C)
time
time
a
a
p
Q
,, {D)
1-------.. time
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8.
Which of the following pairs of conditions is
true for an inelastic collision?
10.
.A man of mass 50 kg stands on a.':~:.i,
bat. · oom
scale (balance) in an elevator. If~e el '. at or
accelerates upwards to 2 m s·'. What is the
reading on the scale?
·
Momentum
Kinetic Energy
(A) conserved
conserved
(A)
IOON
(B) not conserved
conserved
(B)
390N
(C) conserved
not conserved
(C)
490N
(D)
590N
(D) not conserved
not conserved
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9.
Which of the following equations gives the
correct relationship between impulse and
momentum?
(C)
(D)
12.
It moves with the same velocity as
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the earth.
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Its geographical location\c]!J.~s as
the earth rotates.
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Its acceleration is zero. ' ; · ' ;
Its angular velocity is equal . that
of the earth.
·
•
(A)
I
(A)
(B)
.:
Which of the statements belbw·l3EST
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describes the motion of a geqstat~opary
satellite?
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11.
• [mpulse=momentum
Impulse= rate ofchange
of momentum
Iinpulse =change in momentum
Impulse=(momentum)'
(B)
(C)
(D)
6
A man with a parachute jumps from a plane. He opens his parachute after 2.5 se<0onds. Which of the
graphs below BEST represents how his vertical acceleration a, could vary with time t, during the first 6
seconds ofhis fall?
(A)
a
(B)
I
(C)
2
3
4
5
a
t
6
(D)
a
.,
I
2
3
4
5
6
I
2
3
4
5
6
a
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t
-6A body falls from a cliff 80 m above the
ground. If it loses 25% of its energy
overcoming friction, what is its velocity on
impact with the ground? [g = 9.8 N kg· 1]
3.
16.
When a particle oscillates in a straight line
with simple harmonic motion, the period of
the oscillation is
(A)
(A)
(B)
(C)
(D)
1
19.8 m s·
28.0 m s· 1
34.3 m s· 1
39.6 m s· 1
(B)
(C)
(D)
If mis the mass of an object and E its kinetic
energy, then its linear momentum is
17.
directly proportional to the
displacement ofthe particle from
the origin
directly proportional to the
acceleration of the particle
independent of the frequency of
oscillation
independent of the amplitude of
oscillation
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The displacement of a particle undergoing
simple harmonic motion is given by
(B)
x = 8sin 0.47l't
The frequency of oscillation of the paiticle is
(A)
15.
(B)
0.2Hz
0.4Hz
(C)
(D)
5Hz
8Hz
A student of weight 500 N is planning a trip
up to the peak of Blue Mountain. From her
, starting point, this will involve an increase in
, . altitude of 1800 m, She buys "high calorie"
.:' energy bars which contain 1000 kJ ofenergy.
1 Assuming her body to be 10 % efficient, how
\ , many bars will she need to eat for the
necessary gain in altitude?
r
I
(A)
1
(B)
, (C)
9
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90
900
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-7Item 18 refers to the following diagram.
20.
/String
Which of the following events is as.sociated
with transverse waves but NOT )ongitudinal
waves?
ii
A
p
B
Interference
(B)
Polarisation
(C)
Reflection
(D)
Refraction
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t
c
Driver
D
18.
(A)
21.
The diagram shows a Barton pendulum
system used to demonstrate resonance.
Which pendulum would swing with the
GREATEST amplitude when the driver 0 is
pulle9 aside and released?
Item 19· refers to the diagram below which
shows a snapshot of a rope as a transverse
wave passes along it from left to right.
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Sound waves with a frequencx <if . 00 Hz
travel through a medium with' a! s~. ~~.ed o. f
400 m s· 1• What is the phase difJfirence
between two points which are 3 m apart in
the direction of the wave?
Jr
(A)
-rads
4
(B)
-rads
2
Jr
i:·
(C)
-!i'
2
-Jr rads
3
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(D)
19.
Which pf the following correctly shows the
directions ofthe motion ofpoints X, Y and Z
on the rope?
x y z
(A)
.J..
---+
t
(B)
.J..
t
.J..
(C)
t
t
t
(D)
---+
~
---+
Jr
:.:
rads
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22.
4 '
·The following ~placement-po~i~o1 g.raph
represents a stationary wave at two ~erent
I1 ": '. .,
instants oftime.
Displacement
· '' ' j
Position
What does the distance PQ reprbse.iiit?
i
.
i
(A)
(B)
(C)
(D)
Halfthe velocity
Half the period
Half the wavelength
Halfthe amplitude
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A wave of amplitude 10 cm has intensity I,.
Another similar wave has an amplitude of
5 cm and intensity I,. What is the value of
26.
11
12 .
-?
(A)
(B)
(C)
(D)
. (A)
(B)
(C)
(D)
2
4
20
50
27.
Item 24 refers to the following graph which
shows a stationary wave on a string.
Amj ).titude
J,
r
0.60
0.80
1.25
1.50
III.
Blue light is used instead of red,
The screen is moved away from the
I
slits.
·
The slits are brought closer togetl1er..
(A)
(B)
(C)
(D)
I only
I and II only
II and III only
I, II and III
38.
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31
For a double slit interference pattern using!
light, the separation of fringes will increase
if
I.
II.
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As light travelling in air enters a medium its
speed changes to 2.4 x 1O" m s· 1• The
refractive index of the medium is
p
Distance
I Where
on this stationary wave does an
antinode exist?
(A)
(B)
!(C)
· (D)
25.
An object is placed3 cm in frontofadiverging
lens of focal length 5 cm. Where will the
image be found?
(A)
About 2 cm in front of the lens
(B)
About 2 cm behind the lens
(C)
About
(D)
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About -cm behmd the lens
·.Two light sources are said to be coherent.
The waves from them must therefore have
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!! '(B)
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Ponly
Qonly
Sonly
PandRonly
28.
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~D)
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the same frequency and a constant
phase difference
the same amplitude and a constant
phase difference
the same wavelength and no phase
difference
the same velocity and a constant path
difference
~cm
in front of the Iens
2
2
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02138010/CAPE2010
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39.
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IL
Ill.
(A)
(B)
(C)
(D)
30.
34.0
- - - - - I'
2.0
0
100 Temp/°C
I
32.
!
The graph show's how the lel\i.gth of the
mercury in a thermometer chan~~siwith
temperature. The temperatfr~· :"1hich
corresponds to a length of I 0.0 qm 1s :
(A)
(B)
(C)
.
'I ·~·fheat
What is the name
given to the amblint
energy needed to chitnge I kg bi w ·.ter at
I 00 °C into steam at I 00 °C? .
..
5cm
25cm
30cm
150cm
Which instrument is MOST suitable for
measuring rapidly changing temperature?
15 °C
20°c
25°C
30°C
I ,
(A)
(B)
(C)
(D)
(A)
(B)
(C)
(D)
.. ,
A converging lens always forms an
image biggerthan the object.
An object placed in front of a
converging lens can form a virtnal
IIllage.
A diverging lens can form a real
image of an object placed in front
ofit.
The near point of a defective eye is 30 cm
from the eye. The normal near point is
25 cm from the eye. The focal length of the
lens needed to ·correct this defect is
'
(D)
31.
'
Length/cm
!only
Uoniy
I and Ill only
_ ll and III only
.
Item 32 refers to the following g~ap!p..
Which pf the following statements regarding
lenses rs/are correct?
29.
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33.
(A)
(B)
(C)
(D)
Molar heat capacity
Specific latent heat of fusion
Specific heat capacity
S pecificlatent heat ofvaporisation
The resistance thermometer
The mercury-in-glass thermometer
The thermocouple
The alcohol-in-glass thermometer
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i~ \In an electrical method for determining the
36.
i \specific heat capacity ofa metal, the fullowing
\ Ireadings were obtained
r: .
,mass of metal
\supply voltage
\current
'time for which heat supplied
\~~~peraturerise of metal
2 kg
240 V
3A
20 s
10 °C
~at is the specific heat capacity ofmetal?
.tA)
A composite conductor with materials of
thermal conductivities k, k!2, k/3 has insulated
sides. Heat is transferred through it from left
to right as shown in the diagram below.
Q
Each material has the same thickness. Which
ofthe following diagrams BEST describes tl1e
temperature gradient of the composite wall?
(B)
ti
{A)
I (C)
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t,
t,
t.
x- x-
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35:"!',:''' ,: Water
falls from a height of 500 m. What is
I
':l ; e rise in temperature ofwater at the bottom
''\ ·. \ · all of the energy gained is converted to
J
• ternal energy in the water?
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( )
(b)
ti - -
{B)
t,
----
t,+--+--~1.-----l
l.17K
0.19K
0.24K
0.49K
ti
{C)
--
--
--
t,
t,
t.
•i
i
~ 'I
I I
'!; f,.
I•
1
I
(D)
ti
-- -- --
t,
t,
t,
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37.
- II :
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A cqntractor builds an office window of
40.
height I 50 cm and width ZOO cm with a glass
pane ofthickhess 0.5 cm. The temperature
difference across the glass is I 5 K and the
thermal conductivity of the glass is
0.65W m·' K· 1• Calculate the heat energy
per second conducted through the window.
(A)
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(D)
·r
38.
A small black sphere has an absolute
temperature T 1• It is hung in the centre of
an enclosure whose walls are at a higher
absolute temperature T,. The net rate ofgain
of .thermal energy by the sphere is
proportional to
39.
(B)
(C)
(T,)'
(T2) 4 .,- (T/
(D)
(T2 - T/
P&·
.,
(A)
(D)
'j
~c, +c~+ ... CN
'
c12 +cff+ ..... +c~
(ci'+cJ+ ..... +c~f
N
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41.
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(T,)•
A gas contains N molecules. \Tpe ;~peeds of
the molecu'.es are Cl'. C2 ... ,
f(hich of
the followmg equat10ns cap' \br··!used to
determine the r.m.s speed oftb.e:m . ecules?
N
'
(A)
I
(B)
1.63 kW
5.85kW
163kW
585kW
(B)
(C)
'
1
What is the total pressure on, the base of a
container of cross-sectional area \P,m'. if it
is filled with ethylene gylcb~ ci~ density
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1120 kg m" up to a depth of3 .D µi?j
[Atrn.
(A)
(B)
(C)
(D)
Avogadro's number is the number of
molecules in
'
press~ i~o t: IO' Pa]
3.3 x 104 Pa
6.7 x 104 Pa
I.Ox JO'
,,
Pa
1.33 x 10' Pa
Item 42 refers to the following,diagram.
(A)
(B)
(C)
(D)
G-A
one litre of gas atN.T.P.
one mole of a gas
one gram ofa gas
one kilogram of a gas
(..,__)- - - - - ; - - v i
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- + - - - - - [ - - - - - ' - ,~, :
42.
The material shown has length,/, and crosssectional area A. When a for4 I;', is applied
to the material it causes an extension e, in the
material. Which ofthe followir\g~xpressions
can be used to determine the Yc:rnpg~odulus
of the material? ·
· \ ·
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43.
'•
Four different liquids are poured into identical measuring cylinders. The diagrams show the heights of
the liquids and their densities. Which liquid exerts the LARGEST pressure on the base ofits measuring
pylinder?
2 g/cm3
1.6 g/cm 3
(B)
-~---
20cm
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lOcm
.'
1.2 g/cm3
C)
0.7 gfcm 3
(D)
~j,§
~~~
~~
40 cm
30cm
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l rem 44 refers to the following graph.
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Item 45 refers to the following diagram.
~tress
· 1:
FIN
.·: !
60 ----------30 ------
1
e/mm
i
44.
This graphisMOSTlikelyto apply to
(A)
(B)
(C)
!·
(D)
~
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steel
glass fibre
an elastic band
polythene sheet
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45.
The figure above shows the force-extension
graph ofa wire. How much work is done in
stretching the wire from an extension of I mm
to2mm?
(A)
(B)
(C)
(D)
0.015 J
0.030J
0.045 J
0.060J
rf ~OU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK. ON fHIS TEST.
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