For each of the questions, there are four possible

choices. Choose the one you consider coruect and

record your choice.

d 1. The vernier calipers shown below has no zero

error. What is the length of the glass slide?

do. What is the zero error shown below?

glass slide

A 1.3 mm

C 2.2 mm

B 1.4 mmD 2.3 mm

0cm

0

A -0.4 mm

C 0.04 mm

A 9.17 cm

C 9.35 cm

lcm

510B -0.04 mmD 0.4 mm

510Figure 2

B 9.26cmD 9.39 cm

()

v

\\,g

IV0

2. What is the reading shown by the verniercalipers below?

lOcm 1l cm

0 510B 11.00 cm

D 102.8 mm

5. Figure I showsthereadingof apairof vernier

calipers when its jaws are totally closed.

Figure 2 shows the reading of the same pair ofvernier calipers when it measures the diameter

of a steel rod. What is the diameter of the steel

rod?

Ocm lcm

5

Figure I

9cm 10 cm

A 1.3 mm

C 2.2mmB l.4mmD 2.3 mm

()

()

(

0 10

A 10.27 cm

C ll.8 cm

3. The vernier calipers shown below read 0. I mmwhen totally closed. What is the length of the

glass slide?

)

1

glass slide

Unit 1 Physical Quantities, Units and Measurement

UNIT 1

Physical Quantities, Unitsand Measurement

0

Measurement

Theme I

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Uu What is the zero error shown below?0cm

main scale

5

vernier scale

lcm

0

A -0.06 cm

C 0.04 cm

B -0.04 cm

D 0.06 cm ()

w7 . Figure I shows the reading of a pair of vernier

calipers when its jaws are totally closed.Figure 2 shows the reading of the same pair ofvernier calipers when it measures the diameterof a steel rod. What is the radius of the steel

rod?

llI Irrrr

cm0

I

cm0

I

lr il lr rrl0510

Figure I

A O.27 cm

C 0.57 cm

lrrIrrl0510

Figure 2

B 0.34 cm

D 0.67 cm ()

U 8. When the ratchet head of the micrometerscrew gauge turns 7 revolutions, what will be

the distance between the anvil and the spindle

and how many revolutions does the thimblerevolve?

rachet head

Distance between

anvil and soindle

A 3.50 mmB 3.50 mm

C 7.00 mmD 7.00 mm

Revolution ofthimble

3.5

7

3.5

7( )

2

d

d

d

U

9. What is the reading shown by the micrometerscrew gauge below?

5

30

25

20

l5

10. What is the zero error shown by the micrometer

screw gauge below?

A 5.212mmC 722mm

A -0.03 mm

C 0.03 mm

A -0.48 mm

C 0.02 mm

A 3.48 mm

C 4.03 mm

B 5.12mmD 7.72 mm

B -0.03 cm

D 0.03 cm

B -0.02 mmD 0.48 mm (

)

()

()

l0

5

0

45

I l. What is the zero error shown by the micrometerscrew gauge below?

5

0

45

q

12.The micrometer screw gauge shown below

read -0.05 mm when totally closed. When itis measuring the thickness of a thin disc, it isas shown below. What is the actual thickness

of the disc?

l0

5

0

45

B 3.98 mmD 4.08 mm

Unit I Physical Quantities, Units and lvleasurement

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w

13. Figure I shows the reading of a micrometerscrew gauge when the spindle is totallyclosed. Figure 2 shows the reading of the same

micrometer screw gauge when it measures the

diameter of a wire. What is the diameter of the

wire?

l0

5

0

45

Figure I

5

0

45

q

14. Figure 1 shows a micrometer screw gauge

when it is completely closed. Figure 2 shows

the reading of the extemal diameter of a pipe.

If the pipe has a thickness of 1.00 mm, what is

the internal diameter of the pipe?

A 3.94 mm

C 4.48 mm

A 8.-50 mm

C 10.47 mm

Figure 2

B 4.44mmD 4.52mm (

()

5

0

45

40

5

0

45

40

0

Figure I

Figure 2

B 9.50 mm

D 10.50 mm

U

U

W

15. A man walks l0 m to the east followed byanother 4 m to the east. What is the distance

travelled by the man and his displacement?

Distancetravelled DisplacementA 6m 6mB 6m l4mC l4m 6mDl4ml4m()

16. A man walks 10 m to the east followed byanother 4 m to the west. What is the distance

travelled by the man and his displacement?

Distancetravelled DisplacementA 6m 6mB 6m l4mC 14m 6mD14ml4m()

17. A man walks 8 m to the east followed by

another 6 m to the south. What is the distance

travelled by the man and the magnitude of his

displacement?

Distance travelledA2mB 8mC l4mD l4m

Disolacement

14m8m2mlOm (

U

U

18. A man walks 8 m to the east followed byanother 6 m to the south. What is his eastward

displacement?

A2m B 6mC 8m D 14m ( )

19. A man walks 8 m to the east followed byanother 6 m to the south. What is his northwarddisplacement?

A -6m B -8mC 6m D 8m ( )

J Unit 1 Physical Quantities, Units and Measurement

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20. A man walks 8 m to the east, 6 m to the south,

8 m to the west and finally 6 m to the north.

What is the distance travelled by the man and

his displacement?

Distance travelled

A 0mB 0mC 28mD 28m

Displacement0m28m0m28m (

M0

L A man walks 8 m to the east for 2 s followedby another 6 m to the south for 3 s. What isthe average speed travelled by the man and his

velocity?

Average speed Velocity

A 2.8 m s-t 2.0 m s-'

B 2.8ms-1 2.8msrC 3.0ms-1 2.0msrD 3.0ms-r 3.0ms' ( )

22. Nurul used a ticker tape timer to investigate

the motion of a remote control car. The tickertape timer is set to a frequency of 50 Hz and a

portion of the tape obtained is shown below.

PQ

What is the time taken between point P and

point Q?

A 0.20 s B 0.22 s

C 500s D 550s ( )

W* Shafiq used a ticker tape timer to investigate

the speed of a remote control car. The tickertape timer is set to a frequency of 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 between point P and point Q?

A 40cmst B 50cms-rC 63cms-1 D 80cms' ( )

tl

?oooo..ooo?tl

IooooI

I

IoooooaoI

V,, Fong Yee used a ticker tape timer to investigate

the acceleration of a remote control car. The

ticker tape timer is set to a frequency of 50 Hz

and a portion of the tape obtained is shown

below.

aRS

r<-}r t<-}r1.0 cm 8.0 cm

What is the acceleration of the remote control

car during the portion shown?

A 350 cm s-2 B 400 cm s-2

C 22OO cms-2 D 2500 cm s' ( )

V,, Jenny used a ticker tape timer to investigate the

acceleration of a remote control car. The tickertape timer is set to a frequency of 2O Hz and a

portion of the tape obtained is shown below.

9Tiaa a a

ttaaaa a a

I

tHt2.0 cm 8.0 cm

What is the approximate acceleration of the

remote control car during the portion shown?

A 60 cm s-2 B 80 cm s-2

C 170cms2 D 240cms-z ( )

d 26. Which of the following pairs of readings shows

that they are measured from a pair of vemier

calipers and a micrometer screw gauge?

A 5.2 cm, 1.33 cm

B 5.2 cm, l.3cmC 5.22 cm, 1.333 cm

D 5.22cm, l cm ( )

d 27. The dimension of a rectangular block of wood

is measured as 12.5 mm,2.0 mm and 3.2mm.What is the measuring instrument used to obtain

such readings?

A half metre rule

B metre rule

C vernier calipers

D micrometer screw gauge ( )

P

P

4

ttllaaooooooatt ll

Unit 1 Physical Quantities, Units and Measurement

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U

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28. The dimension of a rectangular block of woodis measured as 120 mm,5.0 mm and3.22mm.What is/are the measuring instrument(s) used

to obtain such readings?

1. metre rule2. vemiercalipers3. micrometer screw gauge

A land2only B land3onlyC 2and3only D l,2and3 ( )

29. The dimension of a rectangular block of woodis measured as 120 mm,5.0 mm and3.22mm.

What should be recorded as the volume of the

block of wood?

A 1900 mm3 B 1930 mm3

C l932mm3 D 1932.0mm3 ( )

30. The length PS is measured by 3 differentmeasuring equipment. The lengths are

measured as PQ - 12.0 cm, QR = 8.52 cm and

RS = 2.521 cm. What should be the recorded

length of PS?

P RSI

aI

I

OI

ttoa

12 cm

A 23cmC 23.O4 cm

8.52 cm 2.521 cm

B 23.0 cmD 23.041cm ( )

d 31. A pencil is measured using a rule as shown.

What is the apparent length of the pencil seen

by the observer and the actual length of the

pencil?

Y Y:

mm 10 20 30 40

Aooarent lensth

A 42mmB 5mmC 37mmD 37mm

Actual length40 mm

10 mm30 mm40mm (

Urr. ,o m s-r=

U

U

W

A 2.8 x 10jc 0.6

34. 13 600 kg m-3 =

A 0.136

c 13.6

km h-r

B 0.01

D36

33. l0ms2=-kmh2A 7.12 x l0ro B 0.00010c 0.00 077 D 129 600

()

()

()

gcm3

B 1.36

D 136

35. 0.5 pg'Mm-t is equivalent to

A 5 x 1013 kg2 cm-3

B 5 x 10-37 kg2 cm-3

C 5 x l0-r8 kg2 cm-3

D 5 x l0-r2 kg2 cm-3 )

U

\\,g

Mg

W,,

36. Which of the following is the unit of force?

A (mXsr) B (kgXmXs-')C (kgXm)(s) D (kgXmXsr) ( )

37. Which of the following is the unit of energy?

A (kgXm)(s ') B (kg'?)(m'z)(s'z)

C (kg)(m'zXs'z) D (kg)(m'z)(s'z) ( )

38. Which of the following is a possible unit forpower?

A Js B kgm-ts-zC kgm2s-3 D kgm2s-2 ( )

Given that Newton's Law of Gravitation is

given by F = ry where z, is the mass of

particle l, mris the mass of particle 2, F is the

gravitational force, r is the distance between the

2 particles and G is the universal gravitational

constant, which of the following is the unit forG?

A m3s-2kg-r B m 3s 2kg I

C m3s2kg D mrs2kg ( )

5 Unit 1 Physical Quantities, Units and Measurement

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V-

A 1.0 kg mass is 4.0 x 108m away from the

centre of the Earth. What is the gravitationalforce exerted on the mass by the Earth?Given the mass of the Earth is 6.0 x l02a kgand the universal gravitational constant is

6.67 x 10-" m3s-2kg-l.

A 1.0 x 10-3 kg m s-3

B 2.5 x l0-3 kg m s-2

C 4.0 x 10-2 kg m2s-2

D 5.0 x 10-2 kg-r m s-r ( )

Which of the following could be the correctexpression for the velocity of a wave in terms

of p (the density of water), g (the acceleration

of free fall) and .1. (the wavelength)?

A .fil B ,tprh

C E\i D 'tpr ()

d

U

A

42. T\e time taken for a pendulum to swing fromrest position A to B is 0.2 s. What is the timetaken for the pendulum to make I complete

oscillation?

A 0.lsC 0.3s

A 0.8sC 16.0 s

-------t

B 0.2sD 0.4s

B

( )

43. The time taken for a pendulum to swing fromrest position A to B is 0.8 s. What is the timetaken for the pendulum to make 20 complete

oscillations?

\\----,

B l.6s

B

D32.Os ( )

A

6 Unit 1 Physical Quantities, Units and Measurement

U 44. The time taken for a pendulum to swing fromrest position X to its maximum displacement

position Y is 0.5 s. What is the time takenfor the pendulum to make one quarter of an

oscillation?

,x Y

A 0.125 s

C 0.5sB 0.25 s

D 1.0s )

d

IVg

45. Which of the following pendulums has the

shortest period?

D)(( ) C

)( B

A

)

46. A simple pendulum is put into oscillation on

Earth, Pluto, Mars and Jupiter. Given thattheir gravitational accelerations are l0 m s-2,

0.8 m s 2, 3.8 m s-2 and 25.4 m s-2 respectively,

on which celestial body will the simplependulum oscillate the fastest?

A Earth B Pluto

C Mars D Jupiter ( )

(

(

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47. Which of the following statements is true,given that pendulum P is 1 kg, pendulum Q isl0 kg, pendulum R is 100 kg and the effect ofair resistance is negligible?

)PQR

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

(

48. Kee Hong recorded the data of the threependulums (P, Q and R) in the table below.

Mass/g Volume/cm3 Length/cm

P 50 5 100.0

a 50 I 30.0

R 50 J 50.0

a

P

Which of the following statements is true about

their periods?

A Period of P is longer than period of Qbecause P has a bigger volume.

B Period of Q is longer than period of Rbecause Q 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.

()

49. Mathinee did the following experiments toobtain the period of oscillation. The results she

obtained were 7,, Tr,TrandTo.

(

R

( )

1

IVg

Unit 1 Physical Quantities, Units and Measurement

Length ofpendulum/m

Pendulum bobPeriod/s

Mass/kg Volume/cm3

1.000 I 0.2 T1

0.800 2 0.2 T,

0.600 3 0.5

0.400 4 0.5 T,

Given that the air resistance is negligible, whichof the following is true about the periods?

A Tt>74c T4>72

BT3DT.,

)7,)7, ()

\$1iUSO. 1ltre period. I, of the swing of a simple pendulum

rris given by T = rn li . where L is the length

of the pendulum and g is the acceleration due

to gravity.

Length ofpendulum/m m s-2

Pendulum bob

Period/sMass/

kgVolume/

cm3

1.000 25 I 0.2 T,

0.800 1.2 2 0.2 T2

0.600 10 J 0.5 TI

0.400 0.8 4 0.5 T4

W'

Which of the following is true?

A Tt>73 B TrlToc rt>74 D T3>72 ( )

The period,I, of the swing of a 1 kg pendulum

rrbob is given by T - r"li, where L is the

length ofthe pendulum and g is the gravitationalacceleration. What is the period of thispendulum if the following changes are made?

l. Increase the length of the pendultmto2L.2. T\e experiment is done in planet X with

gravitational acceleration * i r.

3. A pendulum bob of mass 2 kg is beingused.

AT B2Tc4T D8r ( )

T.Dan

yal E

duca

tion

d 52. Which of the following is in the ascending order

of volume?

A electrons, proton, Earth, MoonB atom, proton, Jupiter, Moon

C proton, atom, Mars, EarthD marble, atom, Moon, Earth ( )

d 53. Which of the following is in the descending

order of volume?

A cell, atom, electron, proton

B atom, cell, proton, electronC cell, atom, proton, electronD atom, cell, electron, proton ( )

Extension Questions

VS+. fn" oaometer of a car indicates the total distance

travelled by the vehicle. A driver looks at hisodometer at two instances while he is driving(as shown below). Given that the diameter ofthe wheels of the vehicle is 75 cm, what is the

average number of revolutions completed byeach wheel in I minute?

12:34HR

clock

A 71 rounds

C 1200 rounds

14:04 HR

clock

B 283 rounds

D 12700 rounds

(

8

20590.5

60 km/h

odometer

km20650.5

80 km/h

\odometer

km

U,, Drawing is a process whereby a thicker roundwire is pulled through a smaller opening toobtain a thinner wire. In a particular drawingprocess, a12mm diameter wire is being drawnto a diameter of 1l mm. Given that there is500 m of 12 mm diameter wire to be drawn to11 mm diameter, what is the production rate

given that the whole process takes 0.5 hour?

A 5.5cms' B 11.5cms1C 27.8cmsr D 33.1cms' ( )

N1iUS0. Iitre oil tank of a truck is leaking at a rate of

2 drops every 3 s. From the oil drops shown

on the road, calculate the average speed ofthetruck travelling from point A to point B.

road

10m 10m lOm 15m 15m

oA

ooa a oB

A 5.0 m s-t

C 10.0ms'B 8.0ms'D 12.0 m s-l ()

\s1iUSZ. ttre period. f. of the oscillation of a spring is

given by f = 2n,l !, where m is the mass of\lk

the oscillating object and k is the force constant

ofthe spring.

What is the period of this pendulum if the

following changes are made:

(i) Decrease the mass of object toO.5m.

(ii) Do the experiment on planet X withgravitational acceleration of 25.4 m s-2.

(iii) Increase the k value to 2ft.

A tT B !742

czT D4T ( )

tI

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V,, Joan wanted to coil up a 500-turn solenoid using

a long piece of resistance wire.

4.0 cm

resistance wire

Given that the outer diameter of the cylinderis 4.0 cm and the diameter of the resistance

wire is measured by a micrometer screw gauge

as shown below, what is the minimum length

of resistance wire and the length of cylinderneeded?

25

20

15

10

Lensth ofresistance wire

A 20.0 mB 20.0 m

C 62.9 m

D 62.9 m

Length ofcvlinder

0.92m1.84 m

0.92m1.84 m (

Vtr. Joan coiled a type of resistance wire round a

cylinder without overlapping as shown. Giventhat altogether she has made 50 turns and the

length of cylinder covered by the resistance

wire is 24 mm, what is the approximate radius

of the resistance wire?

4.0 cm

A 0.24 mm

C 0.48 mm

cylinder

resistance wire

B 0.40 mmD 0.80 mm ()

9 Unit 1 Physical Quantities, Units and Measurement

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