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Unit I I Physicol Qucntities, Units ond Mecsr".rrement 1
l Physicol OuqntitieS,Units ond Meosurement
For each of the questions, there are four possible choices.Ghoose the one you consider colrect and record your choice.
d, The vernier calipers shown below has no zero error. What is
the length of the glass slide?
glass slide
v
V u What is the zero error shown below?
5. Figure 1 shows the reading on a pair of vernler calipers whenits jaws are totally closed. Figure 2 shows the reading on thesame pair of vernier calipers when it measures the diameterof a steel rod. What is the diameter of the steel rod?
Ocm I cm
UL"I".7510
Figure I
9cm l0 cm
u-5 l0
Figure 2
A 9.17 cm
C 9.35 cm
T0
U, What is the reading shown on the vernier scale below?
l0 cm
lrrrrl
A 1.3 mm
C 2.2mm
1.8 cm
I
Il
B 1.4 mm
D 2.3 mm
cm
ItlI
I
B
D
9.26
9.39
CM
CMlrrlrrl0510
AC
2l C0 m B 11.00 cm
D 102.8 mm0cm lcmmain scale
U 3. The vernier calipers shown below reads 0.1 mm when totallyclosed. What is the length of the glass slide?
glass slide
A 1.3 mm
C 2.2mm
4. What is the zero error shown below?
Ocm lcm
!l
7 . Figure 1 shows the reading on a pair of vernier calipers whenits jaws are totally closed. Figure 2 shows the reading on thesame pair of vernier calipers when it measures the diameterof a steel rod. What is the radius of the steel rod?
0cm
I
0 5
vemier scale
A -0.06 cm
C 0.04 cm
B -0.04 cm
D 0.06 cm
WB 1.4
D 2.3
mm
mm
dcm0
I
0510TTrnTrnT-0 5 l0
Figure Figure 2
B
D0T0
A 0.27 cm
C 0.57 cm
0.34
0.67
CM
CM
A -0.4 mmC 0.04 mm
B -0.04 mmD 0.4 mm
LLI I
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B. When the ratchet head of the micrometer screw gauge turns2 revolutions, what will be the distance between the anvil
and the spindle?
rachet head
12. What is the zero error shown on the micrometer screw gauge
below?d
Ms
d
\\,g
W
W
5
0
45
40
9. When the ratchet head of the micrometer screw gauge turns
7 revolutions, what wlll be the distance between the anvrl
and the spindle? How many revolutions does the thimblerevolve?
rachet heacl
13. The micrometer screw gauge shown below reads -0.05 mm
when totally closed. When it is measuring the thickness of a
thin disc, it is as shown below. What is the actual thicknessof the disc?
A 0.50 mm
C 2.00 mm
Distance betweenanviland spindle
A 3.50 mm
B 3.50 mm
C 7.00 mm
D 7.00 mm
B 1.00 mm
D 4.00 mm
A -0.48 mm
C 0.02 mm
mm
mm
B -0.02 mmD 0.48 cm
B 3.98 mm
D 4.08 mm
B 9.50 mm
D 10.50 mm
l0
5
0
45
3.48
4.03
AC
Revolution ofthimble
3.5
7
3.5
7
14. Figure '1 shows the reading on a micrometer screw gauge
when the spindle is totally closed. Figure 2 shows the reading
on the same micrometer screw gauge when it measures thediameter of a wire. What is the diameter of the wire?
l0
5
5
0
45
40d 010. What is the reading shown on the micrometer screw gauge
below?
25
20
l5
A 5.212nmC 1.22nn
1 1 . What is the zero error shown on the micrometer screw gauge
below?
Figure I Figure 2
A 3.94 mm
C 4.48 mm
15. Figure 1 shows a micrometer screw gauge when it is
completely closed. Figure 2 shows the reading of the external
diameter of a pipe. lf the pipe has a thickness of 1.00 mm,
what is the internal diameter of the pipe?
5
mm
mm
B 4.44D 4.52
B 5.72 mm
D 7.72nn
d 5
0
45
40
5
0
45
40l0
5
0
45 A 8.50 mm
C 10.47 mmA -0.03 mm
C 0.03 mm
B -0.03 cm
D 0.03 cm
Figure I Figure 2
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16. Which of the following is not a vector quantity?
A velocity B acceleralionC force D work done
11 Which of the f0llowing is a vector quantity?
A time B temperatureC mass D displacement
1 B. Vector Z is the resultant vector of vector X and vector Y Whichof the following shows the correct relationship between X,
Y andZl.
A
x X Z
d
IVg
Z
YY
ZYZ
xx
Y
1 9. Vector Z is the resultant vector of vector X and vector Y Whichof the following shows the correct relationship between X,
Y andZ?
A B
C
C
ZX
YX Y
x Dx
Z Y Y
Z
Unit I I Physicol Quonlities, Units cnd Meosurement 3IVs 20. A man walks 10 m to the east followed by another 4 m to
the east. What is the distance travelled by the man and his
displacement?
Distancetravelled Displacement
A 6m 6mB 6m 14mC 14m 6mD 14m '14m (
)
U 21. A man walks 10 m to the east followed by another 4 m tothe west. What is the distance travelled by the man and his
displacement?
Distancetravelled Displacement
A 6m 6mB 6m 14mC 14m 6mD 14m 14m ( )
v 22. Aman walks 8 m to the east followed by another 6 m to the
south. What is the distance travelled by the man and themagnitude of his displacement?
Distancetravelled Displacement
A 2n 14mB Bm 8mC 14m 2mD 14m 10m ( )
\\,g 23. A man walks B m to the east followed by another 6 m to thesouth. What is his eastward displacement?
A 2n B 6mC Bm D 14m (
)
IVg 24. A man walks B m t0 the east followed by another 6 m to thesouth. What is his northward displacement?
A -6m B -BmC 6m D Bm ( )
\\,CI 25. AmanwalksB mtothe east, 6 mtothe south, B mtothewest
and finally 6 m to the north. What is the distance travelledby the man and his displacement?
Distancetravelled DisplacementA 0m 0mB 0m 28nC 28m 0mD 2Bm 28m (
)
26. A man walks 8 m to the east for 2 s followed by another 6
m to the south for 3 s. What is the average speed travelledby the man and his velocity?
Average sneedA 2.BmsrB 2.Bms1C 3.0ms1D 3.0ms1
Velocity2.0ms12.8 m s-l2.0ms13.0ms1
v
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D
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4 ThemeI lMeosurement
27. Nurul used a ticker tape timer to investigate the motion of a
remote control car. The ticker tape timer is set to a f requencyof 50 Hz and a portion of the tape obtained is shown below.
31 . Which of the following pairs of readings shows that they aremeasured from a pair of vernier calipers and a micrometerscrew gauge?
A 5.2 cm, 1.33 cm B 5.2 cm, 1.3 cm
C 5.22 cm, 1.333 cm D 5.22 cm, 1 cm ( )
32. The dimensions of a rectangular block of wood are 12.5 mm,2.0 mm and 3.2 mm. What is the measuring instrument usedto obtain such readings?
A half metre ruleB metre rule
C vernier calipersD micrometer screw gauge ( )
33. The dimensions of a rectangular block of wood are measuredas 120 mm, 5.0 mm and 3.22nm. What is/are the measuringinstrument(s) used to obtain such readings?1. metre rule
2. vernier calipers3. micrometer screw gauge
A land2only B land3onlyC 2and3only D 1,2and3 (
)
34. The dimensions of a rectangular block of wood are 120 mm,5.0 mm and 3.2?nn.What should be recorded as the volumeof the block of wood?
A 1900 mm3 B 1930 mm3
C 1932 mm3 D 1932.0 mm3 ( )
35. The length PS is measured by 3 different measuringequipment. The lengths are measured as P0 = 12.0 cm,0R = 8.52 cm and RS = 2.521 cm. What should be therecorded length of PS?
P
M0
W,t
v
v
P
d
d
Mg
IM
0
Mg
What is the time taken between point P and point 0?
A 0.20 s B 0.22 s
C 500s D 550s (
Shafiq used a ticker tape timer to investigate the speed of aremote control car. The ticker tape timer is set to a frequencyof 40 Hz and a portion of the tape obtained is shown below.
PQ
l0 cm
What is the average speed of the remote control car betweenpoint P and point 0?
A 4Ocmsr B S0cmsrC 63cmsr D B0cmsr ( )
29. Fong Yee used a ticker tape timer to investigate theacceleration of a remote control car. The ticker tape timer is
set to a frequency of 50 Hz and a portion 0f the tape obtai ned
is shown below.
P RS
,<s.1.0 cm
,<H,8.0 cm
S
What is the acceleration of the remote control car during theportion shown?
A 350 cm s{ B 400 cm s'C 2200 cm s' D 2500 cm s{ (
)
30. Jenny used a tickertape timerto investigate the accelerationof a remote control car. The ticker tape timer is set to a
frequency of 20 Hz and a portion of the tape obtained is
shown below.
RS
l2 cm 8.52 cm 2.521 cm
A 23cmC 23.04 cm
B 23.0 cmD 23.041 cm
d
2.0 cm 8.0 cm
What is the approximate acceleration of the remote controlcar during the portion shown?
A 60cms' B B0cms'C 170cmsr D 240cms' (
)
36. A pencil is measured using a rule as shown. What is theapparent length of the pencil seen by the observer and theactual length of the pencil?
]{
ilrlril rlilrlilillilr lilillrilrlilillilil10203040mm
P R
Apparent lengthA 42mmB SmmC 37mmD 37mm
Actual length
40 mm
10 mm
30 mm
40 mm
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37 . ln an experiment, Solehin is required to perform a calculationbased on the formula : Area = L x B. Given that the recordedvalues of L= 12.5 cm and B = 1.24 cm, what is the arearecorded?
A 15.5 B 15.5 cm2
C 15.50 D 15.50 cm2 ( )
38. ln an experiment, Jerman is required to perform a calculationbased on the formula : Area = L x B. Given that the recordedvalues of L = 12.5 cm and B = 1.4 cm, what is the arearecorded?
A 18 cm2 B 20 cm2
C 17.5 cm2 D 17.50 cm2 ( )
39. ln an experiment, Kasturi is required to perform a calculationbased on the formula : Volume = L x B x H. Given that therecorded values of l=12.5 cm, B = 0.05 cm and H = 0.30 cm,
what is the answer recorded?
A 0.2 cm3 B 0.19 cm3
C 0.188 cm3 D 0.1875 cm3 ( )
40. ln an experiment, Jonathan is required to perform a
calculation based on the formula : Length = X + Y Given thatthe recorded values of X = 12.5 cm and Y = 0.05 cm, what isthe answer recorded?
A 10cm B 13cmC 12.6 cm D 12.55 cm (
)
41. ln an experiment, Keng Sze is required to perform a
calculation based on the formula : Length = X + Y. Given thatthe recorded values of X=1?5 cm and Y = 4.J7 cm, what isthe answer recorded?
A 100 cm B 130 cmC 129.8 cm D 129.71 cn (
)
42. ln an experiment, Yong Seng is required to perform a
calculation based on the formula : Length = X + Y + Z. Giventhat the recorded values of X = 1.1 cm, Y = 1.11 cm andZ = 1 .111 cm, what is the answer recorded?
A 3cm B 3.3cmC 3.32 cm D 3.321 cm ( )
43. ln an experiment, Grace is required to perform a calculationbased on the formula : Length = X + Y + Z. Given that therecorded values of X= 1.1 cm, Y= 1.23 cm andZ= 1.670 cm,what is the answer recorded?
A 4cm B 4.0cmC 4.00 cm D 4.000 cm (
)
44. ln an experiment, Grace is required to perform a calculationbased on the formula : Length = X + Y - Z. Given that therecorded values of X = 10.55 cm, Y = 1.5 cm and Z = 2.050cm, what is the answer recorded?
A 10 cm B 10.0 cmC 10.00 cm D 10.000 cm ( )
d
d
d
d
d
Unit I I Physiccl Quontities, Units ond Mecsurement 5
d
\\,g
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45. ln an experiment, Fong Yan is required to perform a
calculation based on the formula : Length = L x B - H. Giventhat the recorded values of L = 12.50 cm, B = 4.00 cm andH = 50.00 cm, what is the answer recorded?
B 1.0 cm
D 1.000 cm
46. ln an experiment, Aniza is required to perform a calculationbased on the formula : G = (Y, -Yrl llX, - Xr). Given thatthe recorded values of Y, = 1 5.50, Yz = 14.00, Xr = 24.6 and
Xz=23.6, what should G be recorded as?
AC
CM
00 cm
A2 B 1.5
D 1.500c 1.50
47 . ln an experiment, Bhavani is required to perform a calculationbased on the formula : G = (Y, -Yrl ll\ - X,). Given thatthe recorded values of Yr = 15, Y, = 14.00, Xr = 24.60 and
Xr=23.10, what should G be recorded as?
A 1 81.1c 1.11 D ? ( )
48. 2dm=-mmA 0.2
c 200
d* 1Gm=
A 1x1018C 1 x 10s
10 s
duo I nm=
B
D
202000
d
A 1 x 10-18
C 1 x 10s
du, o2km=
A 2x10eC 2 x 108
U
nm
Gm
X
X
B
D 0r
p m
m2
B 1 x 10-e
D 1x1018
B 2x10-BD 2 x 10s
B 0.1
D 100
52. 1cm2=-mA 0.01
c 10
\\,0sg. 1m2=-km2
A 10-{
c 103
U* 5 mm3=
B 10{D 106
B 1.25x10-3D 5x103
A 1.25x101C 5x 10 3
cm3
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55. 1000 m3 =
A1c 106
tr
AC
cmx2m56.
dm3
B 103
D 10s
-
cmz
B 100
D 1 0000
mm3
m3
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\\,g
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67. Which of the following is the unit of force?
A (m)(s') B (kg}(m}(rl)
C (kg)(mxs) D (kg)(m)(s'?)
68. Which of the following is the unit of energy?
A (kg)(m)(s-r) B (kg'zXm'?Xs'?)
C (ks)(m'z)(s'?) D (kg)(m'?)(s')
69. Which of the following is a possible unit for power?
A Js B kgmjs{C kgm2s{ D kgmzs' (
70. Given that Newton's Law of Gravitation is given by
- Gm.n^F=::# where m, is the mass of particle 1, m, is the
mass of particle 2, F is the gravitationalforce, ris the distance
between the 2 particles and 6 is the universal gravitational
constant, which of the f0llowing is the unit for 6?
A m3 s-2 kg-l B m{ s'kg-rC m3s2kg D mrs2kg ( )
71. A 1.0 kg mass is 4.0 x 108 m away from the centre of theEarth. What is the gravitational force exerted on the mass
by the Earth? Given the mass of the Earth is 6.0 x 1024 kg
and the universal gravitational constant is 6.67 x 10-11 m3
s, kg-,.
A 1.0 x 10-3 kg m sr
'10
1 000
U
\\,g
M0
\\,0
U
Uur. loms-l=
57 3cmx4mm=A 1.2 x 10-6
C 1.2 x 104
58. 20kmx10m=
A 2x106C 2x108
59. 4mmx5m=A 0.2
c20
60. 0.1 pm x 5 N/m =
A 5 x 10 7
ntr
61. l mmx2cmx3m=A6C 6x103
06
5 x 10 3 kg m s 2
0 x 10-2 kg m2 s'0 x 1 0-2 kg-l rp 5-t
B
D
m2
1.2x11.?x1
cm2
0503
B 2x101D 2 x 10e
dm2
B2D 200
m2
B 0.5
D 5x105
B6D6
x 102
x 104
82.c4.D5.
Uu, l mmx2cmx3m=AC
6x16x1
B 6x10-5D 6x1030-4
72. Which of the following is the correct expression for thevelocity of a wave in terms of p (the density of water),g (the acceleration of free fall) and /" (the wavelength)?. r-A {g^
km hiB 0.01
D36C
E!n
B '[psh
D ,[psA 2.8 x 10-6
c 0.6
M0
\V0
64. 10ms2=-kmh-2A 7 .72 x 10 10 B 0.00 010
c 0.00 077 D 129 600
65. 13600k9m3=-gcrll3A 0.136 B 1.36
c 13.6 D 136
66. 0.5 pg2 [Vlm 3 is equivalent to
A 5 x 10-a3 kg2 cm{B 5 x 10'kg2 cm 3
C 5x1018kgzcm3P g x 1012 kg2 cma
d 13. The time taken for a pendulum toswing from rest position A to B is0.2 s. What is the time taken forthe pendulum to make 1 completeoscillation?
A 0.1 s B 0.2sC 0.3s D 0.4s
14. Ihe time taken for a pendulum to
swing from rest position A to B is0.8 s. What is the time taken forthe pendulum to make 20 completeosci I lations?
A 0.8s B 1.6sC 16.0 s D 32.0 s
A B\___---t
v\,0
A-\_._t
B
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t\,s 75. The time taken for a pendulum to swing from rest position
X to its maximum displacement position Y is 0.5 s. What isthe time taken for the pendulum to make one quarter of an
oscillation?
-*X
A 0.125 s
C 0.5s
Y
B 0.25 s
D 1.0s
d rU Which of the following pendulums has the shortest period?
\Vg 77. A simple pendulum is put into oscillation on Earth, Pluto, lVarsand Jupiter. Given that their gravitational accelerations are10 m s-2, 0.8 m s 2, 3.8 m s' and25.4m s 2 respectively, on
which celestial body will the simple pendulum oscillate thefastest?
A Earth B Pluto
C lVars D Jupiter ( )
U 78. Which 0f the following statements is true, given thatpendulum P is 1 kg, pendulum 0 is 10 kg, pendulum R is1 00 kg and the effect of air resistance is negligible?
()B
DC
A
PQR
\\,g
A They will have the same period.
B Pendulum P will oscillate the fastest.C Pendulum R will oscillate the fastest.D They will all swing at different periods.
79. Kee Hong recordedthedata of thethree pendulums(P 0andB) in the table below.
Mass/g Volumelcm3 Length/cm
P 50 5 100.0
0 50 1 30.0
B 50 3 50.0
Unit I I Pl rysicrsl {}ursntitres, Unilx c:nd Mecsurement 7
Io
P
Which of the following statements is true about their periods?
A Period of P is longer than period of 0 because P has a
bigger volume.
B Period of 0 is longer than period of R because 0 has a
smaller volume.
C Period of R is shorter than period of P because R has a
shorter pendulum length.
D All three pendulums have the same period. ( )
U 80. N/athinee did the f0ll0wing experiments to obtain the period
of oscillation. The results she obtained were l, T, TrandT4
Masslkg Volume/cm3
1.000 1 0.2 T1
0.800 2 0.2 T2
0.600 3 0.5 T3
0.400 4 0.5 T4
Given that the air resistance is negligible, which of thefollowing is true about the periods?
A T,rTo B \>T2C 4rT, D TrrT, ( )
v
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81. The period, I of the swing of a simple pendulum is given by
l,T =Znl 1, where I is the length of the pendulum and g is the
acceleration due to gravity
Length ofpendulum/m
slm s*2
Period/s
1.000 1 0.2
0.800 1.2 2 0.2 T2
0 600 10 aJ 0.5 T3
0.400 0.8 4 0.5 To
Which of the following is true?
A T,,T, B
C T,To D
Tr'ToT,, T,
()
()
()
length olpendulum/m
Pendulum hobPeriod/s
Pendulum bob
Mass/kg
Volume/cm3
T.
()
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8 lhemel lMeosurement
82. The period, I, of the swing of a 1 kg pendulum bob is given
l,bV T=2nli, where I is the length of the pendulum and g
is the gravitational acceleration. What is the period of thispendulum if the following changes are made?
1. lncrease the length of the pendulum to 21.
2. The experiment is done on planet X with gravitational_1
acceleratton ot Z
g.
3. A pendulum bob of mass 2 kg is being used.
AT B2Tc 4T D Br (
)
83. Which of the following is in ascending order of volume?
A electrons, proton, Earth, lMoon
B atom, proton, Jupiter, [/oonC proton, atom, lVars, Earth
D marble, atom, [t/oon, Earth (
84. Which of the following is in descending order of volume?
A cell, atom, electron, proton
B atom, cell, proton, electronC cell, atom, proton, electronD atom, cell, electron, proton (
)
85. Which of the following is a possible magnitude for thediameter of an orange?
A 1mm B 10mmC 100mm D 1000mm (
)
86. Which of the followlng is a possible mass for a full grown
house cat?
A 0.5k9 B 5ksC 50kg D 500ks ( )
90. Which of the following is a possible magnitude for thediameter of an atom?
A 1x10:m B 1x10$mC 1x10'1om D 1x10'15m (
)
91. Which of the following is an approximate magnitude for thediameter of Earth?
A 1x105m B 1x107mC 1x10sm D 1x101sm ( )
92. Which of the following shows the approximate ratio of thediameter of an atom to the diameter of the Earth?
A 1:105 B 1:1012
C 1:1017 D 1:102s ( )
93. Which of the following shows the approximate ratio of thevolume of an atom to the volume of the Earth?
A'l :1020 B 1:1030
C 1:10a0 D 1:1050 ( )
94. 0dometer of a car indicates the total distance travelled by
the vehicle. A driver looks at his odometer at two instances
while he is driving (as shown below). Given that the diameterof the wheels of the vehicle is 75 cm, what is the average
number of revolutions completed by each wheel in 1 minute?
d
d
M0
v
v
d
d
d
d
d
U
Bl . Which of the following is a possible mass for a normal family
car?
A 0.5 pg B 0.5 mg
c 0.5 kg D 0.5 tr/ls ( )
88. Which of the following is a possible area of an average
secondary school in Singapore?
A 0.05 km'z B 0.5 km'?
C 5km2 D 5Okm'? ( )
89. Which 0f the following is a possible volume of a full grown
man?
A 0.006 m3 B 0.06 m3
C 0.6m3 D 6m3 ( )
95. Drawing is a process whereby a thicker round wire is pulled
through a smaller opening to obtain a thinner wire. The
squeezing effect forces the wire to be thinner and longer. ln
a particulardrawing process, a 12 mm diameterwire is being
drawn to a diameter of 11 mm. Given that there is 500 m
of 12 mm diameter wire to be drawn to 11 mm diameter,
what is the production rate given that the whole process
takes 0.5 hour?
A 5.5cms1 B 11.5cms1C 27.8 cm s-1 D 33.1 cm sr ( )
A 71 rounds
C 1200 rounds
l2:34 HR
clock
l4:04 HR
clock
B 283 rounds
D 12700rounds
v
EXTENSION QUESTIONS
80 km/h
km
1\
od()meter
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W 96. The oil tankof atruck is leakingata rate of 2 drops every3s.From the oil drops shown on the road, calculate the averagespeed of the truck travelling from point A to point B.
roadl0m l0m l0m 15m 15m
a aa a aB
A 5.0msrC 10.0 m s1
B 8.0 m s-r
D 12.0 m s1
Unit I I Physic.al Quoni?ties, Units rsnd Ale*surernent 9
v 99. Joanwantedtocoil upa 500-turn solenoid usinga long piece
of resistance wire.
4.0 cm
<- resistance wire
Given that the outer diameter of the cylinder is 4.0 cm and thediameter of the resistance wire is measured by a micrometerscrew gauge as shown below, what is the minimum lengthof the resistance wire and the length of cylinder needed?
a
v
v
97. The period, I of the oscillation of a spring is given byt-tm
I =ZnJ * , where m rs the mass of the oscillating object andv ('
k is the force constant of the spring.
2325
20
15
10
tJ
Length of resistance wireA 20.0 m
B 20.0 m
C 62.8 m
D 62.8 m
Length of cylinder0.92 m
1.84 m
0.92 m
1.84 m (
What is the period of this pendulum if the following changesare made:(i) Decrease the mass of object to 0.5m.(ii) Conduct the experiment on planet X with gravitational
acceleration of 25.4 m s 2.
(iii) lncrease the value of klo2k.
98. Whichofthefollowingwill changethe periodof a pendulum?
1. Change the string to a much heavier material.?. Conduct the experiment 0n moon (which has a weaker
gravitational f ield strength).3. Conduct the experiment on top of a high mountain.
A 2only B 3onlyC land2only D 1,2and3 (
)
'100. Joan coiled a type of resistance wire round a cylinderwithout overlapping as shown. Given that she has made 50
turns altogether and the length of cylinder covered by theresistance wire is 24 mm, what is the approxlmate radius
of the resistance wire?
1.0 .-J
<-- resistance wire
v
B
D
A
C
ir.TLI
|r4T
A 0.24 mm
C 0.48 mm
B 0.40 mm
D080mm
U 101. Jimmyfound a formula written as 0= nc(T,- I,i. He figuredout that 0, mand f are thermal energy (j), mass (kg)andtemperature (K) respectively. Which of the following is a
possible unit for c?
A ms-] B JkglC JkglKl D OmlTr ( )
()
)
()
Danya
l Edu
catio
n
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