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CAPE Physics 2016 U1 P2[1722]

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TEST CODE
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FORM TP 2016273
O2I38O2O
-l
MAY/JT]NE 2OI6
CARIBBEAN EXAMINATIONS COUNCIL
CARIBBEAN ADVANCED PROFICIENCY EXAMINATION@
PHYSICS
UNITl-Paper02
2 hours 30 minutes
READ THE FOLLOWING INSTRUCTIONS CAREFULLY.
1
This paper consists of SIX questions in TWo sections. Answer ALL questions.
2
Write your answers in the spaces provided in this booklet.
J
Do NOT write in the margins.
4
Where appropriate, ALL WORKING MUST BE SHOWN in this booklet.
5
You may use a silent, non-programmable calculator to answer questions, but you
should note that the use of an inappropriate number of figures in answers will be
penalized.
6.
If you need to rewrite any answer and there is not enough space to do so on the
original page, you must use the extra lined page(s) provided at the back of this
booklet. Remember to draw a line through your original answer.
7
If you
use the extra page(s) you MUST write the question number clearly in the
box provided at the top of the extra page(s) and, where relevant, include the
question part beside the answer.
DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO
SO.
Copyright @ 2015 Caribbean Examinations Council
All rights reserved.
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021 3802003
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-4-
LIST OF PHYSICAL CONSTANTS
:
6.67
x l0
tt
N m'kg-'
Universal gravitational constant
G
Acceleration due to gravitY
6o
9.8lms2
I Atmosphere
atm
1.00
x lOsN m-2
Boltzmann's constant
k
1.38
x l0
Density of water
p*
1.00
x
103
Specific heat capacity of water
C
4200
l
kg-t
Specific latent heat of fusion of ice
L.,l
3.34
x
105 J
kg-'
Specific latent heat of vaporization of water
L,
2.26 x
106 J
kg-'
Avogadro's constant
NA
6.02
Molar gas constant
R
8.31 J
Stefan-Boltzmann's constant
o
Speed of light in free space (vacuum)
c
3.00x108ms-'
Planck's constant
h
6.626x10-3aJs
Triple point temperature
T
1 tonne
t
:
:
:
5.67
x
x
23
J
K-'
kg mr
1023
11-t
per mole
K rmol-'
10-8
W m-2
Kr
273.16 K
1000 kg
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0213802004
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-5SECTION A
AnswerALL questions.
Write your answers in the spaces provided.
1.
(a)
(i)
Define the term 'acceleration' and state its units.
[1 markl
(iD
State Newton's second law of motion in words
AND the associated equation.
[3 marks]
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021 3802005
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-6(b)
A car is travelling along a level road at a speed of 15 m s-ttowards a set of traffic lights
when the light turns red. In 0.5 seconds after seeing the light, the driver applies the brakes
and brings the car to a stop at the traffic lights. Table 1 shows how the speed of the car
changes from the time the driver sees that the traffic lights turn red.
TABLE
I
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Time/s
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
:.tsr
Speed/m s-t
15.0
15.0
12.5
10.0
7.5
5.0
2.5
0.0
:I-
(i)
On the grid provided in Figure
I
:*
,.8
N
;;:
.-E
.-*
.--*,
(page 7), plot a graph of speed against time.
[5 marksl
(ii)
..8
is
._--]r
Suggest a reason why the velocity remains unchanged for the first 0.5 seconds
after the light turns red.
-':.t
'-Ii
.:'*
[1 mark]
(iii)
:E
What feature of the graph shows that the car's deceleration was uniform?
:I-r:
.s
:ti
:fi
:A
-t
.t{
..E
=
.7{
:\r
[1 mark]
(iv)
Use your graph to determine the distance that the car travelled after the lights
turned red to when the car stopped.
,!,:
:i1..
..;
:'-'-:
rjt
tri
-*
{-E
-rr
.tli
'h
.f,F
.*
[4 marks]
.tri
-A
.-Y
.E
Total 15 marks
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Figure 1. Speed versus time
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02't3802007
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-8(a)
Atransverse progressive wave travels along a stretched string from left to right. The shape
of part of the string at a particular instant is shown in Figure 2. The frequency of the wave
is 15 Hz.
8.0
Displacement 6.0
:If,
'h
:tii
.E
/mm
4.0
+:
-Fi
-[
--ts
2.0
.E
0
100
-2.0
ce alon
120
stri
-4.0
-6.0
v:fii
-8.0
-t5
.rli
.b
Figure 2. Transverse progressive wave along string
!E
:s
.Ia
Use Figure 2 to determine, for this wave, its
(i)
IE
'*
't
amplitude
:ir
.A
:s
.s
[1 mark]
(ii)
phase difference between Points P and Q on the string
=
::=
,c
-ll
:E
[1 mark]
(iii)
:-\
speed.
.ffl
t'l-
.!r
-*
[2 marks]
.tr{
.^a
\
e
r=
.t
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021380201CAPE 2016
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021 3802008
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Another stretched string is used to form a stationary wave. A part of this wave at a particular
instant is shown in Figure 3. The points on the string are at aheir maximum dispiacement.
x
Y
Figure 3. StationarT wave
(i)
State the phase difference in the motion of the points on the string labelled
Y.
[1
(ii)
X and
markl
Distinguish between the terms 'antinode' and 'node' when used to describe
stationary waves on a string.
[2 marksl
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(iii)
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State the number of antinodes shown on Figure 3
[1 mark]
(c)
Table 2 shows how the wavelength produced on a stretched string changes as the wave
speed is varied.
TABLE
Wavelength
Wave Speed
v/m
(i)
(ii)
2
lrm
s-r
05
0.06
10
0.12
l5
0.18
20
0.24
25
0.30
30
0.36
35
0.42
40
0.48
On the grid provided in Figure 4 (page 11), plot a suitable graph to respresent the
data.
[5 marksl
Hence, determine the frequency of the standing wave.
[2 marks]
Total 15 marks
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Figure 4. Wavelength versus wave speed
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-12(a)
After a lesson on Hooke's law, a student is asked to measure the mass of a rock sample
using a steel spring, standard masses and a metre rule. The student measured the unstretched
length of the spring and then set up the arrangement shown in Figure 5.
Spring
Stand
Standard mass
Figure 5. Arrangement for measuring the mass of a rock sample
(i)
law
State Hooke's
[2 marksl
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(ii)
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Describe how this alrangement could be used to determine the spring constant and
hence, the mass of the rock sample.
f_ti:
tri.
E
K:
:r-:
ft
i:=
h:
t
'e}.
s:
.$.
:.....
6
marks
_-_-l-_-
:\t.
t*r
f(i
-*.
E*:
rA-'
\l-
:al
G
ft
:iri:
i=
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0213802013
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-14(b)
A spring manufacturer tests the properties of a spring by measuring the load applied each
time the extension is increased. The graph of load versus extension is shown in Figure 6.
Load/N 40
30
20
r0
0
0.00
0.01
0.03
0.02
0.04
0.05
Extension/m
Figure 6. Load versus extension
(i)
Use the graph to find the work done in extending the spring up to Point B
[5 marks]
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0213802014
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(ii)
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Beyond Point A, the spring undergoes inelastic deformation. Explain the term
' inelastic deformation'.
[2 marksl
Total 15 marks
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02138020/CAPE
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0213802015
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16SECTION B
Answer ALL questions.
Write your answers in the spaces provided.
4.
(a)
By referring to Figure 7, explain the origin of upthrust and how upthrust determines whether
an object will float or sink.
i
dr
I
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d2
Figure 7. Upthrust
[5 marks]
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(b)
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ln the experiment illustrated in Figure 8, it was found that the weight of the stone in air is
1.0 N and the weight when the stone was totally immersed in water was 0.75 N.
Beaker
a
Stone
a
Figure 8. Weight of stone
(i)
Determine the weight of water that would be collected in the beaker.
[1 mark]
(ii)
For (b) (i), calculate the volume of water displaced and hence, determine the density
of the stone.
[3 marksl
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0213802017
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18 -
In the experiment shown in Figure 9, it was found that the reading on the spring balance
changed from 2.1 N to 1.8 N as the metal ornament was lowered into the measuring
cylinder containing water. The height of water in the cylinder rose from the 50 cm3 mark
to the 80 cm3 mark. When the cylinder contained corn oil instead of water, it was found
that the height of oil rose by the same amount (as when in water), but the reading on the
spring balance changed from 2.1 N to 1.87 N.
Metal
ornament
Figure 9. Spring balance
(i)
State the reason why the height
same amount.
of liquid in the measuring cylinder rose by the
[1 mark]
(ii)
Outline the reason why the reading on the spring balance was lower when the
ornament was immersed in water than when it was immersed in corn oil.
I
mark]
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(iii)
Calculate the density of the corn oil
[4 marks]
Total 15 marks
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0213802019
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(a.)
-
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Briefly describe a laboratory experiment to prove Snell's law. Indicate any precautionary
measures that must be taken during this experiment.
Um arks i
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-21 (b)
Three transparent glass blocks, A, B and C, are arranged (not to scale) as shown in
Figure 10. Each glass block has a different refractive index.
Normal line
Light ray
Air
GlassA
line
liii
r+.
=
Sii.
H{l
tsr
Ii1
Figure 10. Arangement of transparent glass blocks
:---'-'-
liai
i}.
t.
(i)
$
Calculate the speed of light in Glass Block A.
Aa
rt:
(Refractive index of Glass Block A
.:=
:
I
.80.)
!{,
!lir.
[2 marksl
rra
la
*,1
i!{
*-
:r_
E
;ri]
x'
!{
=
=
j:i
=
:=
-:
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(ii)
Show that the angle 0 in the figure is approximately 30 degrees.
[2 marks]
(iii)
The refractive index of Glass Block C is 1.40. Calculate the critical angle between
Glass Block A and Glass Block C.
[2 marksl
(iv)
State what happens to the light when it reaches the boundary between Glass Block
A and Glass Block C. Justify your answer.
[2 marks]
Total 15 marks
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6.
-23
(a)
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Explain how the 'greenhouse effect'contributes to the warming of the Earth's atmosphere.
[6 marks]
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24
(b)
A rectangular glass window in an office building has dimensions 2.4 metres by 2 metres
by 3 centimetres. The temperature of the outer surface of the window is 35 "C and the
temperature of the inner surface is 26 oC.
(Assume the thermal conductivity of glass is 0.96 W/m/K.)
Calculate the rate of heat conduction through the glass.
[5 marksl
(c)
oC by an air conditioning
The temperature in the room is maintained at26
unit. If
the air
conditioning unit fails, determine how long it will take for the temperature of the room
and its contents to increase by 3 "C.
(Assume that heat conduction is the only source of heat input to the room; the average
x l0s J/ "C.)
heat capacity of the room and its contents is 5.7
[4 marksl
Total 15 marks
END OF TEST
IF YOU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORI( ON THIS TEST.
021380201CAP8 20r6
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