There Are Fifty Questions in This Paper. Answer All Questions. Marks Will Not Be Deducted For Wrong Answers

2005 STPM Physics Papers 1 and 2
Time: 1h 45 min
There are fifty questions in this paper.
Answer all questions. Marks will not be deducted for wrong answers.
1. The dimension of angular velocity is
A T1
C LT2
1
B LT
D L2T1
1 mu2 1
Pt + mgh =
mv2
2
2
1
1
2
D Pt + mgh = mv mu2
2
2
2. A ball is thrown upwards several times at the

same velocity at different angles of projection.
Which of the following graphs shows the
variation of the horizontal range R with the
angle of projection ?
A
C
5. Work done for a displacement ds is given by
A dW = F . d s
C dW = F d s

B dW = F . s
D dW = F s
6. The period of a particle which moves at speed
v in a horizontal circle of radius r is
2
2r
A
C
v
v
v
v
B
D
2
2r
7. The diagram below shows two bodies of

masses 0.50 kg and 1.00 kg connected by a
light rigid rod of length 4.00 m and placed on
a smooth surface. A body P of mass 0.50 kg
which moves at velocity 4.00 m s1 collides
and sticks to the body of mass 0.50 kg and
the system of masses rotates about the centre
of mass.
3. An athlete leaps over a hurdle of height

1.0 m. The athlete leaps at a distance of
2.0 m before the hurdle and lands 2.0 m after
the hurdle. If the angle of the leap is at 45
with the horizontal line, what is the speed at
which the athlete leaps?
A 4.4 m s1
C 8.9 m s1
1
B 6.3 m s
D 9.8 m s1
4.00 m s1
4. A car of mass m with effective power P climbs

a hill of height h at initial velocity u. The car
arrives at the peak of the hill at velocity v in
time t. Which of the following is true of the
motion?
[Neglect the friction and resistance of motion.]
1 mu2 =
1 mv2 + mgh
A Pt +
2
2
1 mv2 =
1 mu2 + mgh
B Pt +
2
2
The angular velocity of the system of masses is

A 0.25 rad s1
C 0.50 rad s1
1
B 0.33 rad s
D 1.00 rad s1
8. A steel ball of mass m and radius r rolls on
a surface without slipping. The moment of
inertia of the ball about the axis through the
2
2
. The ratio of the translational
centre is mr
5
1
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Booklet 2005 STPM Phy P1 & 2 (08).indd 1
3/7/2008 4:51:01 PM
kinetic energy to the rotational kinetic energy

is
A 2:5
C 2r : 5
B 5:2
D 5r : 2
The frequency of the wave is

A 0.5 Hz
C 5.0 Hz
B 2.5 Hz
D 12.5 Hz
12. The graph below shows the variation of
acceleration a with displacement x of a particle
performing a simple harmonic motion.
9. If the gravitational field strength at a certain

area is uniform, which of the following
statements is true?
A No work is done when a mass is displaced
in that area.
B The gravitational field strength is the same
at all points in that area.
C The gravitational potential is the same at
all points in that area.
D The gradient of the gravitational field
strength is of the same magnitude as the
gravitational potential.
The frequency of oscillation of the simple

harmonic motion is
A 0.87 Hz
C 4.77 Hz
B 1.15 Hz
D 34.41 Hz
10. The diagram below shows a block of weight W

being pulled by force T on a rough horizontal
surface.
13. A particle performs an oscillation without

damping. Which of the following quantities
is not constant for the oscillation?
A Force
C Total energy
B Amplitude
D Angular frequency
If the block is not tilted up, with N the normal

reaction of the horizontal surface on the block
and F the friction between the block and the
surface, which of the following diagrams shows
the correct line of reaction force?
A
C
14. When sound waves propagate in air, two

particles which are 0.2 m apart vibrate
antiphase. If the speed of sound in air is
320 m s1, the frequency of the sound waves is
A 64 Hz
C 800 Hz
B 80 Hz
D 1600 Hz
15. Standing waves on a string can be produced by
vibrating one end of a taut string at a certain
frequency with the other end fixed. Standing
waves can also be produced in a closed pipe
by putting a vibrating tuning fork near the
open end. Which of the following is true of the
standing waves on the string and the standing
waves in the pipe?
A Both standing waves vibrate with the speed
of sound in air.
B The sound of both standing waves cannot
be heard because standing waves do not
propagate.
C The standing waves on the string have
nodes while the standing waves in pipe
do not have nodes.
D The standing waves on the string are
transverse waves while the standing waves
in the pipe are longitudinal waves.
11. Diagram (a) below shows a graph of

displacement y against distance x for a
progressive wave at a certain time. At time
0.4 s later, the profile of the wave is shown
in diagram (b).
(a)
(b)
3/7/2008 4:51:05 PM
20. The graph below shows the variation of

pressure p with volume V of an ideal gas
undergoing a cyclic process. The points P, Q
and R represent three states of the gas.
16. The diagram below shows the variation of force

F with separation r between two atoms.
The shaded area represents

A the energy required to ionise both atoms
B the energy to break the bond between the
two atoms
C the kinetic energy of the two atoms at the
equilibrium separation
D the energy to change the bond in solid
state to the bond in liquid state
Which states of the gas are the coldest and

the hottest?
Coldest
Hottest
A P
Q
B P
R
C Q
R
D R
Q
17. A wire is stretched without exceeding the

proportional limit. The following data is
obtained.
Force exerted on the wire
Cross-sectional area of wire
Extension of wire
Original length of wire
21. The specific heat capacity at constant volume

of an ideal gas is 2.4 102 J K1 kg1. The
change in the internal energy of 5.0 103 kg
of the gas when the temperature of the gas is
increased from 27 C to 327 C is
A 32 J
C 180 J
B 49 J
D 360 J
100 N
106 m2
2 103 m
2m
Which of the following statements is not true?

A The strain produced is 1 103.
B The stress produced is 1 108 N m2.
C The force constant is 5 104 N m1.
D The energy stored in the wire is 50 J.
22. The electric field strength at point P at distance

20 cm from a point charge is 0.40 V m1. The
electric potential at point P is
A 0.02 V
C 0.20 V
B 0.08 V
D 0.80 V
18. Which of the following influence the degree

of freedom of a gas molecule?
A The number of atoms per molecule and
the temperature of the gas
B The mass of the gas molecule and the
temperature of the gas
C The mass of the gas molecule and the
pressure of the gas
D The rms speed of the gas molecule and
the pressure of the gas
23. The diagram below shows charges +q, +q and

q which are fixed at points X, Y and Z of a
circle respectively.
19. The rms speed of the molecules of a certain

gas is c. When the volume and pressure of
the gas are doubled, the rms speed of the gas
molecules is
1
A c
C 2c
2
1
B c
D 2c
2
The resultant electric field at centre O of the

circle is in the direction of
A OY
C YO
B OZ
D ZO
3
3/7/2008 4:51:05 PM
27. A cell of internal resistance 2.0 is connected

to a resistor of 8.0 . The percentage of power
from the cell which is supplied to the resistor
is
A 20%
C 80%
B 64%
D 100%
24. The diagram below shows a uniform rod of

length x and cross-sectional area A which is
perfectly insulated. The two ends of the rod are
maintained at temperatures 1 and 2, where
1 > 2.
If the same material

following set-ups will
of flow of heat as the
A
28. A 5 F capacitor is charged until the potential

difference is 12 V before it is disconnected
from the supply. The capacitor is then
connected in parallel to an uncharged 10 F
capacitor. The common potential difference of
the two capacitors is
A 4.0 V
C 9.0 V
B 6.0 V
D 12.0 V
is used, which of the

produce the same rate
above set-up?
C
29. In the circuit shown below, capacitor C can

be fully charged and then fully discharged by
using a two-way switch.
Which of the following influences the time

constant of the circuit when capacitor C is
discharged?
A Voltage V
C Resistance R2
B Resistance R1
D Resistance R3
25. A wire of length and cross-sectional area A has

a resistance R. If the resistivity of the material
of the wire is , the electrical conductivity
is
AL
R
A
C

R
B
D
RA
LA
30. An electric circuit is shown below.
26. Two cylindrical resistors are each made from

copper and aluminium. The cross-sectional
area and resistivity of aluminium are three
times the cross-sectional area and resistivity of
copper. If the volume of the two resistors are
the same, what is the ratio of the resistance
of the aluminium resistor to the resistance of
the copper resistor?
A 9:1
C 1:3
B 3:1
D 1:9
If the current flowing through the 10 resistor

is 2.0 A, the current I flowing through the
15 resistor is
A 0.50 A
C 1.33 A
B 0.67 A
D 1.50 A
4
3/7/2008 4:51:06 PM
34. When the load of an electric motor is

decreased, the speed of rotation of the motor
increases while the current that flows through
it decreases. Which of following statements
explains the decrease in the current?
A The resistance of the coil of the motor
increases.
B The power dissipated in the coil of the
motor increases.
C The back emf induced in the coil of the
motor increases.
D It is more difficult for the current to flow
into the coil of the motor.
31. The coil of a moving coil galvanometer has N

turns and area A. The coil is in a radial field
of magnetic flux density B. When current
I flows, the coil is deflected through angle
of the galvanometer is
. The sensitivity
I
proportional to
1
A BAN
C
BAN
1
D
B BAN2
BAN2
32. Which of the following statements about the
motion of a charged particle entering a uniform
magnetic field is not true?
A The path of the particle is parabolic if the
direction of motion of the particle is parallel
to the direction of the magnetic field.
B The path of the particle is circular if
the direction of motion of the particle
is perpendicular to the direction of the
magnetic field.
C The magnitude of the magnetic force is
directly proportional to the charge of the
particle.
D The magnitude of the magnetic force is
maximum if the direction of motion of the
particle is perpendicular to the direction
of the magnetic field.
35. When a resistor is connected directly to a

sinusoidal voltage supply of 240 V rms, the
current has a peak value of 10 A. What are
the resistance of the resistor and the power
dissipated?
Resistance
Power dissipated
A 24
1700 W
B 24
2400 W
C 34
1700 W
D 34
2400 W
36. A steady current I produces power P in a
resistor. When an alternating current flows
through the resistor, the power produced is
1 What is the peak value of the alternating
P.
4
current?
1
A I
C 2I
4
1
B I
D 2I
2
33. The diagram below shows three parallel long

wires X, Y and Z each carrying current I of
the same magnitude in the directions shown.
37. The diagram below shows an operational

amplifier which is connected to a voltage
supply of +15 V and 15 V.
If the distances between X and Y and between

Y and Z are the same, which of the following
diagrams shows the directions of forces acting
on the wires X, Y and Z?
A
C
I
D
I
If the input voltage is + 0.5 V, what is the

potential at point X?
A 15 V
C +5 V
B 5 V
D +15 V
5
3/7/2008 4:51:07 PM
38. Which of the following statements is not true

of an electromagnetic wave?
A It can be polarised.
B It is a transverse wave.
C It consists of vibrations in magnetic and
electric fields.
D The expression for its speed is 00.
43. The diagram below shows two coherent light

sources S1 and S2 of wavelength which
produce an interference pattern on the
screen.
39. A monochromatic light propagates in vacuum

and enters a glass medium. Which of the
following is true of the light in the glass?
Speed
Wavelength Frequency
A Increases
Increases
Increases
B Decreases
Decreases
Decreases
C Decreases
Increases
No change
D Decreases
Decreases
No change
If the mth dark fringe is formed at P, what is

the path difference (S2P S1P)?
A
C m
1
B
m
D (m + 1)
2
40. A convex lens of focal length 6 cm is in contact

with a concave lens of focal length 12 cm. The
focal length of the combined lens is
A 6 cm
C 12 cm
B 4 cm
D 18 cm
44. According to de Broglie, an electron of velocity

v may behave like a wave of wavelength .
Which of the following graphs shows the
variation of with v?
A
C
41. A plane-polarised light is passed through a

polariser. The polarisation axis is adjusted
until the intensity of light produced is at its
maximum value Imax. Through what angle
should the polariser be further rotated so that
the intensity of light becomes 25% of Imax?
A 30.0
C 60.0
B 41.4
D 75.5
42. Light with constant intensity is incident onto
a photo cell which is connected to a direct
current voltage source. Which of the following
graphs shows the variation of the current I
through the photo cell with the voltage V of
the source?
A I
C
I
45. In 1913, Niels Bohr suggested several postulates

to explain the origin of the spectrum of the
hydrogen atom. Which of the following is not
true of the suggestion?
A The energy of an atom is discrete.
B The angular momentum of an orbiting
electron is quantised.
C The linear momentum of an orbiting
electron may have any value.
D The radiation energy emitted corresponds
to the difference between two energy
levels.
D
I
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46. The diagram below shows several energy levels

of the hydrogen atom.
If the two positive ions carry the same charge,

m2 is equal to
x
d m
A m
C
d 1
d+x 1
d
x m
B
m
D d+
1
d + 2x 1
2
A radiation of wavelength 486 nm from a

hydrogen discharge lamp is detected. Which
of the following transitions emits this
radiation?
A n=3n=1
B n=3n=2
C n=4n=1
D n=4n=2
49. Which of the following statements is not true

of radioactive decay?
A Radioactive decay is a random process.
B Radioactive decay emits an -particle,
a -particle or -rays.
C A radioactive nucleus decays immediately
to a stable nucleus.
D A radioactive nucleus decays and changes
the numbers of neutrons and protons.
47. The penetration power of X-rays which is

produced from an X-ray tube can be upgraded
by
A increasing the current which flows through
the cathode
B increasing the potential difference between
the anode and the cathode
C focusing the electron beam by using a
collimator
D using an anode from an element of large
atomic number
50. The following equation represents the

13
bombardment of a stationary nucleus of 6 C
with a proton of energy 2 MeV.
1
1
P+
13
6
13
7
N+
1
0
What is the energy released and can the

reaction occur?
13
1
[Mass 6 C = 13.003355 u, 1H = 1.007825 u,
13
48. The diagram below shows two paths of

positive ions in a mass spectrometer. Point P
is the effect of a positive ion of mass m1 and
point Q is the effect of a positive ion of mass
m2.
N = 13.005739 u,
A
B
C
D
1
0
n = 1.008665 u.]
1 MeV and the reaction can occur

1 MeV and the reaction cannot occur
+5 MeV and the reaction can occur
+5 MeV and the reaction cannot occur
3/7/2008 4:51:09 PM
Time: 2h 30 min
Section A [40 marks]
Answer all the questions in this section.
1. (a) Define a vector quantity.
(b) The diagram below shows a 5.0 kg street light suspended by two cables.
Calculate the tension in each of the cables.
[1 mark]
[5 marks]
2. (a) State the conditions for equilibrium of a rigid body.

[2 marks]
(b) The diagram below shows a 20.0 kg mass hanging at the end of a horizontal beam. The
beam of length and negligible mass is hinged on the wall at point A. A cable at an angle
of 30 to the horizontal line is used to support the load.
(i) Calculate the tension in the cable.

(ii) Determine the reaction on the beam by the wall.
[2 marks]
[2 marks]
3. A lens of refractive index 1.52 is coated with a layer of transparent material of refractive index
1.38. The thickness of the coating material is such that the reflection of light at wavelength
400 nm can be eliminated.
(a) Determine the condition for interference to occur.
[3 marks]
(b) Calculate the minimum thickness of the coating material.
[2 marks]
4. (a) State the differences between gaseous, liquid and solid phases in terms of their atomic
arrangements and movements.
[2 marks]
(b) The variation of repulsive force Frep with distance r between two atoms can be represented
by the equation
a
Frep = ,
rn
where a and n are positive constants.
(i) Sketch a graph of Frep against r.
[1 mark]
(ii) Based on the graph in (b)(i), explain why a gas can be compressed but it is almost
impossible for a solid.
[2 marks]
3/7/2008 4:51:10 PM
5. The diagram below shows two point charges 1.2 C and +1.0 C separated at a distance of
0.6 m. Point O is the midpoint of the two charges. Calculate the electric potential at point P which is
1.2 m vertically above O.
[5 marks]
6. (a) What is meant by eddy current?

(b) How is power loss in a transformer measured?
(c) How is power loss due to eddy current reduced?
[2 marks]
[1 mark]
[2 marks]
7. The work function for Cesium is 2.14 eV. Calculate the maximum kinetic energy of photoelectrons
emitted from Cesium surface when illuminated by light of wavelength 565 nm.
[4 marks]
8. A radioisotope tracer was injected into a human body. After 24 hours, the activity of the radioisotope
has reduced to 6% of its initial activity. Calculate the half-life of the radioisotope.
[4 marks]
Section B [60 marks]

Answer any four questions in this section.
9. (a) Describe briefly a projectile motion.
[2 marks]
(b) A marble of mass 30 g rolls off the edge of a table at height 2.0 m and strikes the floor at
a horizontal distance of 2.8 m from the edge of the table.
(i) Calculate the time taken by the marble to reach the floor.
[2 marks]
(ii) Determine the speed of the marble just before it falls.
[2 marks]
(iii) Calculate the magnitude and direction of the velocity of the marble just before it reaches
the floor.
[5 marks]
(iv) Determine the average power of the marble.
[4 marks]
10. (a) State the characteristics of electromagnetic waves.
[2 marks]
(b) The displacement y at distance x and time t of a sound wave propagating in air can be
represented by
y = 7.5 104 sin (315t 1.05x),
where x and y are in metres and t is in seconds.
T where T is the
(i) Sketch, on the same axes, a graph of y against x at times t = 0 and t = ,
4
period of the wave.
[2 marks]
(ii) Determine the velocity and the frequency of the wave.
[4 marks]
(iii) Calculate the phase difference of a point 2.0 m from the origin.
[3 marks]
(c) Describe the principle of Doppler radar used by the police to determine the speed of an
automobile.
[4 marks]
9
3/7/2008 4:51:10 PM
11. (a) (i) What is meant by work done in an isolated gas system?
[1 mark]
(ii) Differentiate between internal energy and thermal energy of a gas system.
[2 marks]
(iii) State the first law of thermodynamics and the meaning of each symbol used. [2 marks]
(b) An isolated system of 3.0 moles of an ideal gas is initially at pressure p1 and volume V1. It
is then allowed to expand at constant temperature T = 350 K to new pressure p2 and new
volume V2 which is twice the initial volume V1.
(i) Sketch the p-V diagram to show the expansion process and shade the region representing
the work done during the process.
[2 marks]
(ii) Calculate the work done during the process.
[3 marks]
(c) The diagram below shows an insulated window glass of a house which consists of two glass
panels separated by a layer of air.
The area of the window is 2.0 m 1.5 m. The thicknesses of the outer glass, inner glass
and air layer are 5.0 mm, 3.0 mm and 3.0 cm respectively. If the temperature outside the
house is 45 C and the temperature inside the house is kept at 20 C, calculate the energy
per hour that is prevented from entering the window.
[5 marks]
[Thermal conductivity of glass = 0.84 W m1K1,
thermal conductivity of air = 0.023 W m1K1.]
12. (a) State two functions of the dielectric in a capacitor.
[2 marks]
(b) Two pure capacitors of capacitance C1 = 5.0 F and C2 = 10.0 F are connected in series
to a 10.0 V battery.
(i) Derive an expression for the effective capacitance CT of the circuit and calculate the
value of CT .
[4 marks]
(ii) Calculate the total energy stored in the circuit.
[2 marks]
(c) The battery in (b) is replaced by an alternating current supply of maximum voltage 10 V
and frequency 120 Hz.
(i) Calculate the reactance of the combined capacitor.
[2 marks]
(ii) Calculate the maximum current in the circuit. Comment on the phase of the current
with reference to the voltage supplied.
[3 marks]
(iii) Describe briefly the behaviour of the energy stored in the combined capacitor during
a cycle of the alternating current supply.
[2 marks]
13. (a) State de Broglies hypothesis and give the relationship between momentum p and wavelength
of a particle.
[2 marks]
(b) In an electron diffraction experiment, an electron beam which is accelerated on a potential
difference is incident normally on a very thin gold film. Several circular diffraction rings
are seen on a photographic film.
(i) If the voltage at the anode is increased, what happens to the circular rings? [1 mark]
(ii) If a particular ring of radius R is chosen and different values of accelerating voltage V
1 Deduce that the experiment is in agreement
are recorded, sketch a graph of R against .
V
with de Broglies hypothesis.
[6 marks]
10
3/7/2008 4:51:11 PM
(c)
(i) A 60 kg marathon runner runs at a speed of 5.1 m s1. Calculate the de Broglie
wavelength of the marathon runner.
[2 marks]
(ii) Explain briefly the production of continuous and characteristic X-rays.
[4 marks]
14. (a) (i) Define nucleon number and proton number.

[1 mark]
(ii) What are isotopes?
[1 mark]
(b) The diagram below shows a schematic model of a mass spectrometer. An ion enters the
velocity selector with electric field E and magnetic field B1. The velocity of the ion of charge
q at slit S is v. The ion then enters the region of magnetic field B2 where it is deflected in
a circular path of radius r.
[1 mark]
(i) Express v in terms of E and B1.
(ii) Derive an expression for the mass m of an ion in terms of E, B1, B2, r and q. [2 marks]
(iii) If B1 = B2 = 0.01 T and r = 20.0 cm, calculate two different electric fields to enable
63
65
the mass spectrometer to differentiate singly charged copper isotopes Cu and Cu.
29
29
[3 marks]
63
[Atomic mass of isotope

atomic mass of isotope
(c)
29
65
29
Cu = 62.929601 u,
Cu = 64.927794 u.]
(i) Why does a fusion reaction take place at high temperatures?

(ii) Calculate the energy released in the following fusion reaction.
13
6
Cu +
14
[1 mark]
N
[3 marks]
13
[Atomic mass of isotope

1
1
14
7
Cu = 13.003355 u,
H = 1.007825 u,
N = 14.003074 u,
1u 931 MeV.]
(d) Explain briefly the controlled fission reaction in a nuclear reactor.
11
[3 marks]
3/7/2008 4:51:11 PM
21. D U = mc(T ) = (5.0 103)(2.4 102)(327 27)

= 360 J
Q
Q
22. B E = ,
V = = rE = (0.20)(0.40) = 0.08 V
40r
40r 2
23. B
PAPER 1
1. A Unit is rad s1
2. C R is maximum when = 45
3. B Vertical motion: v = u sin 45, v = 0, a = g,
s = 1.0 m. Use v 2 = u 2 + 2as
1
1
4. A Work done = Pt = mv 2 mu 2 + mgh
2
2
5. A Work done is the dot () product of force and
displacement
distance travelled in a complete circle
6. C Period =
speed
7. C After collision, distance of centre of mass from
1.0 kg mass
(0.5 + 0.5)(4.00) + (1.00)(0)
x = = 2.00 m
(0.5 + 0.5) + 1.00
Angular momentum is conserved,
[(0.5+0.5)(2.00)2 + (1.00)(2.00)2] = (0.5)(4.00)(2.00)
= 0.50 rad s1
1
mv 2
2
m(r )2
5
8. B = =
1 2
2 2 2
2
mr
I
2
5
[Note: The moment of inertia of the ball about the
2
axis through the centre is mr 2.]
5
9. B E = constant for the whole region
10. C W must act through the centre of gravity (C.G.).
Taking moments about C.G.,
clockwise moments of T and F = anticlockwise
moment of N.
In D, there is no anticlockwise moment about the C.G.
11. D Distance travelled by the wave in 0.40 s
= (0.10 0) = 0.10 m
0.10
Speed v = = 0.25 m s1, = 0.02 m
0.40
v
0.25
f = = = 12.5 Hz
0.02
12. A amax = 2x0 = (2f)2(0.02) = 0.6
f = 0.87 Hz
13. A F = m( 2x), varies with displacement x
v
320
14. C = 2(0.2) m, f = = = 800 Hz
0.40
15. D
16. B Area under F-r curve = work done (or energy required)
1
1
17. D Energy stored = Fe = (100)(2 103) = 0.10 J
2
2
18. A f depends on whether the molecule is monatomic,
diatomic or polyatomic, and f is greater at high
temperatures
19. D pV = nRT, c T . (2p)(2V ) = nRT1
T1 = 4T, c1 4T , c1 = 2c
20. B pV = nRT, T pV. At P, pV = 100 J.
At Q,
pV = 400 J. At R, pV = 500 J
24.
25.
26.
27.
Oxford Fajar Sdn Bhd (008974T) 2006
28.
29.
30.
31.
32.
33.
1
1
1 2
(1 2)
2
2
dQ
A = kA = kA
dt
x
0.5 x
RA
1

B = , =
=
RA

A
1

= and R =
C Volume = C A = A(3A),
3
A
c
RA A
1
= =
3
RC C
Power in resistor IV
R
8.0
C = = = = 0.80
Power from cell
IE
R + r 8.0 + 2.0
A Charge conserved, Q = (5 + 10)V1 = (5)(12)
V1 = 4.0 V
D Time constant of discharge circuit = CR 3
5
A I = (2.0) = 0.50 A
5 + 15
BNA
A BINA = k, = BAN
I
k
A When v is parallel to B, force on the charge, F = 0.
Path is a straight line
D Currents in the same direction, wires attract; currents
in opposite directions, wires repel
34. C Back emf speed of rotation

V0
240 2
35. C R =
= = 34
10
I0
1 2
1
P = I 0 R = (10)2(34) = 1700 W
2
2
1
1 2
1
2
36. B P = I R, P = I 0 R. Hence I0 = I
4
2
2
Rf
100
37. B V0 = Vi = (0.5) = 5V
10
Ri
1
38. D Speed, c =
00
39. D v = f, f unchanged
1
1
1
40. C = + , F = 12 cm
F
6 12
12
3/7/2008 4:51:11 PM
41. C I = (0.25)Imax = Imax cos2 . Therefore = 60.0

42. D Characteristic curve of a photocell
1
3
43. B For dark fringe: Path difference = , ,
2
2
h
44. D =
mv
45. C Linear momentum is quantised
hc
(6.63 1034)(3.0 108)
= 2.55 eV
46. D E = =
(486 109)(1.60 1019)

= E4 E2
47. B Penetration power increases when decreases.
hc
=
eV
mv 2
qBr
d
48. C F = qvB = , m = r. m2 = m1
r
v
d+x
49. C Product of decay need not be stable
50. B Energy released, E
= [(1.007825+13.003355)(934 MeV) + 2 MeV]
(13.005739+1.008665)(934 MeV) = 1 MeV
Reaction cannot occur because total energy before
< total energy after
T1
T2
W
=
=
sin 30
sin 50
sin 100
(5.0 9.81)(sin 30)
T1 = = 24.9 N
sin 100
(5.0 9.81)(sin 50)
T2 = = 38 N
sin 100
2. (a) Conditions of equilibrium of a rigid body:
Resultant force = 0
Resultant torque about any point = 0
(b) (i)
Let T = tension in the cable and taking moments

about A,
T ( sin 30) = (20.0 9.81), T = 392 N
(ii) Let R = reaction at A, and Rx and Ry the
horizontal and vertical components of R.
Equating horizontal forces,
Rx = T cos 30 = 392 cos 30 = 339 N
Equating vertical forces,
Ry + T sin 30 = (20.0 9.81)
Ry = (20.0 9.81) (392 sin 30) = 0
Hence reaction at A, R = Rx = 339 N
perpendicular to the wall
PAPER 2 Section A
1. (a) A vector quantity is a physical quantity which has
magnitude and direction
(b)
3. (a)
Resolving forces horizontally,

sin 50
T1 sin 50 = T2 sin 30, T2 = T1
sin 30
Resolving forces vertically,
T1 cos 50 + T2 cos 30 = 5.0g
sin 50
T1 cos 50 + T1 cos 30 = 5.0g
sin 30
5.0 9.81
T1 = = 25 N
cos 50 + (sin 50 cos 30/ sin 30)
sin 50
T2 = T1 = 38 N
sin 30
Condition for (destructive) interference:
1
Path difference between AP and BQ = m
2
1
2n1t = m for m = 1, 2, 3,
2
1
2(1.38)t = m (400 nm)
2
[t = thickness of coating material]
(b) Thickness t is minimum when m = 1.
1
1 (400nm)
2
Minimum thickness =
2(1.38)
= 72.5 nm
Alternative solution [Note: Shorter answer]

Since the forces W, T1 and T2 are in equilibrium,
they can be represented by the triangle of forces.
Using the sine rule,
4. (a)
Gaseous
Atomic
No
arrangement arrangement
at all,
constantly
changing
13
Liquid
Solid
Constantly
random
nonuniform
pattern
over short
range
Regularly
repeated
pattern
over long
range
3/7/2008 4:51:13 PM
Movement
(b)
(i)
Random
Free
motion
random
motion with
high speeds
Section B
Atoms
vibrate
about
mean
positions
9. (a) Horizontal: Motion under constant speed.

Vertical: Motion under uniform acceleration (a = g,
acceleration of free-fall).
Path of projectile is a parabola
(b) (i)
Frep
Large
force
Solid
Very small
force
r
Gas
Considering vertical motion,

initial velocity = 0, a = g, s = 2.0 m
1
1
Using s = ut + at 2, 2.0 = 0 + (9.81)t 2
2
2
2(2.0)
t = = 0.639 s
9.81
(ii) Considering horizontal motion,
2.8
2.8 m = vx(t), vx = = 4.38 m s1
0.639
(iii) After a time t = 0.639 s, vertical component
of velocity,
vy = 0 + (9.81)(0.639) = 6.27 m s1
vx = 4.38 m s1
(ii) For a gas, r is very large (r ). From the

graph, the repulsive force is very small.
Hence a gas can be compressed.
For a solid, r is small. From the graph, the
repulsive force is very large.
Hence it is very difficult to compress a solid
5. Distances of the point P from the two charges are the
same. r = (0.3)2 + (1.2)2 = 1.24 m
q1
q2
Electric potential at P, V =
+
40r
40r
(1.2 + 1.0) 106
=
= 1.45 103 V
4(8.85 1012)(1.24)
v = v 2x + v y2 = (4.38)2 + (6.27)2 = 7.65 m s1
6. (a) Eddy current is the current induced in a conductor

placed in a changing magnetic field. Direction of the
eddy current opposes the change in the magnetic
flux.
(b) Power loss = power input power output
= Ip Vp Is Vs
Ip = current in the primary coil
Vp = input voltage
Is = current in the secondary coil
Vs = output voltage
(c) Power loss is reduced by
reducing the eddy current. Use laminated core
to increase the resistance of the core.
reducing the resistance of the primary and
secondary coils
vy
6.27
= tan1
at an angle tan1
vx
4.38
= 55.1 below the
horizontal
(iv) Average power of the marble,
mv 2 (30 103)(7.65)2
P = =
2t
2(0.639)
= 1.373 W
10. (a) Characteristics of electromagnetic waves (state any

two):
All em waves travel with the same speed of
3.0 108 in vacuum.
Are transverse waves or can be plane-polarised.
Require no medium for propagation or can travel
in vacuum
(b) (i)
y = (7.5 10 4)sin (315t 1.05x)
When t = 0, y = (7.5 10 4)sin (1.05x)
= (7.5 10 4)sin (1.05x)
7. Maximum kinetic energy, Emax

hc
(6.63 1034)(3.00 108)
= W =
2.14 eV
(565 109)(1.60 1019)

2
= 6.02 10 eV
8. If A0 = initial activity, after t = 24 hours,
activity A = 6%A0 = 0.06A0
A0 x
A0
Using A = ,
2 =
= 16.67
x
0.06A 0
2
t
log 16.67
24
x = = = 4.06, T1 = = 5.91 hours
2
log 2
4.06
T1
2
14
3/7/2008 4:51:14 PM
(ii) y = (7.5 104)sin (315t 1.05x)

2
Comparing with y = a sin 2ft x
2f = 315
2
Frequency, f = 50.1 Hz. Also, = 1.05
= 5.98 m
Velocity, v = f = (50.1)(5.98) = 300 m s1
(iii) = 5.98 m phase difference 2 rad.
For a distance of 2.0 m, phase difference
2.0
= (2)
5.89
= 2.10 rad
(c) If the window consists of only the outer glass panel,

rate of heat flow,
dQ
d
45 20
= kA = (0.84)(2.0 1.5)
dt
dx
5.0 103
= 1.26 10 4 W
For the insulated window,
dQ
temperature difference
rate of heat flow, =
dt
total thermal resistance
(45 20)(2.0 1.5)
= = 57.1 W
(0.005 + 0.003) 0.030
+
(0.84)
0.023
Energy prevented from entering the room in 1 hour
= (1.26 104 57.1)(3600) = 4.52 107 J
(c) If f = frequency of radar, frequency received by a

car travelling with a speed u towards the source
c+u
is f1 = f
c
Frequency reflected by car (which acts as the
source) is
c
c
c+u
c+u
f2 = f1 = f = f
cu
cu
c
cu
12. (a) Functions of dielectric:

It acts as insulator, so that charge does not flow
across the capacitor.
It increases the capacitance of the capacitor
(b) (i)
Superposition of the reflected waves of frequency

f2 and emitted frequency f produces beats of
frequency
c+u
2u
= f2 f = f f = f
cu
cu
The greater the speed u of the car, the higher is

the beat frequency
11. (a)
(i) In an isolated gas system, work is done by

the gas to increase the separation between
the gas molecules when the gas expands
(ii) Internal energy is the total kinetic and potential
energy of the gas molecules.
Thermal energy is the energy transferred
between the gas and the surrounding due to
a temperature difference
(iii) First law of thermodynamics
Q = U + W
Q : heat supplied to the gas
U : increase in internal energy of the gas
W : work done by the gas
(b) (i)
(ii)
(c)
(i)
(ii)
(iii)
V2
(ii) Work done = nRT ln
V1
= (3.0)(8.31)(350)
2V1
= 6.05 103 J
ln
V1
Charge on both capacitors = Q

[the same]
Q
Q
V1 = ,
V2 =
C2
C1
Q
Q
V = V1 + V2 = +
C2
C1
V
1
1
1
1
1
= = + = +
Q
C T C1 C2 5.0
10.0
C T = 3.33 F
1
Energy stored = CTV 2
2
1
= (3.33 10 6)(10.0)2 = 1.67 10 4 J
2
1
Reactance, Xc =
2fC
1
=
= 398
2(120)(3.33 10 6)
Vmax
10
=
Maximum current, Imax =
398
Xc
= 2.51 102 A
The current leads the voltage by radians

2
T
1
From t = 0 to t = first -cycle , energy
4
4
flows into the capacitor.
T
T
1
From t = to t = second -cycle , energy
4
2
4
flows from the capacitor back to the battery.
The process is then repeated during the third
1
1
-cycle and final -cycle
4
4
15
3/7/2008 4:51:15 PM
Because the fraction of the kinetic energy of

the electron which is converted into a photon
of X-ray is random in nature, X-rays of various
wavelengths are produced.
These X-rays form the continuous spectrum.
A photon of the characteristic X-rays is
produced when
a fast electron from the cathode ejects an
electron from the inner shell of the target
atom.
when an electron from a higher shell
drops to the lower shell to fill the vacancy.
The difference in the energy, (E2 E1) of
this electron is emitted as a photon of
characteristic X-ray
13. (a) de Broglies hypothesis: A particle moving with a

velocity v behaves as a wave of wavelength .
h
de Broglies wavelength, =
p
[h = Plancks constant]
(b) (i) When the voltage increases, decreases and
the radii of the circular rings decreases
(ii)
Velocity v of electron after being accelerated

through a voltage V is given by
14. (a)
(i) Nucleon number: Number of nucleons (or

protons and neutrons) in the nucleus.
Proton number: Number of protons in the
nucleus
(ii) Isotopes have the same proton number but
different nucleon number
E
(b) (i) v =
B1
(ii) In the magnetic field B2,
mv 2
qvB2 =
r
qrB2 qrB1B2
m = =
v
E
qrB1B2
qrB1B2
(iii) From m = , E =
E
m
(1.60 1019)(0.200)(0.01)(0.01)
63
For 29 Cu, E =
(62.929601)(1.66 1027)
= 30.6 V m1
(1.60 1019)(0.200)(0.01)(0.01)
For 65
Cu,
E
=
29
(64.927794)(1.66 1027)
= 29.7 V m1
(c) (i) Hydrogen nuclei require a large amount
of energy to overcome the repulsive force
between each other.
Kinetic energy of the hydrogen nuclei is raised
by increasing its temperature to a very high
value
(ii) Mass difference, m
= (13.003355 + 1.007825)u 14.003074 u
= 8.106 103 u
Energy released
[1 u 934 MeV]
= (8.106 103)(931 MeV) = 7.55 MeV
(d) Water is used as a moderator to slow down the
neutrons.
Contol rods of cadmium are used to absorb two out
of the three secondary neutrons so that the fission
reaction occurs at a constant rate
2eV
1
mv 2 = eV, v =
m
2
[m = electron mass]
h
de Broglies wavelength, =
mv
h
h
= =
2eV
2meV
m
m
(c)
Using Braggs equation, 2d sin = n, when

is small, sin = rad.
2d = n, d(2) = n
R
Since is small, 2 rad = tan 2 =

h
Hence, from d(2) = n and = ,
2meV
R
h
nh
1
d = n , R =

d 2meV
2meV
V
The experimental result is in agreement with
de Broglies hypothesis
h
(i) de Broglies wavelength, =
mv
6.63 1034
=
(60)(5.1)
= 2.2 1036 m
(ii) Continuous X-ray spectrum is produced when
fast electrons are decelerated during collisions
with a heavy metal.
16
3/7/2008 4:51:16 PM

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2005 STPM Physics Papers 1 and 2

2. A ball is thrown upwards several times at the

5. Work done for a displacement ds is given by

7. The diagram below shows two bodies of

3. An athlete leaps over a hurdle of height

4. A car of mass m with effective power P climbs

The angular velocity of the system of masses is

Majlis Peperiksaan Malaysia 2005

2005 STPM Physics Papers 1 and 2

kinetic energy to the rotational kinetic energy

The frequency of the wave is

9. If the gravitational field strength at a certain

The frequency of oscillation of the simple

10. The diagram below shows a block of weight W

13. A particle performs an oscillation without

If the block is not tilted up, with N the normal

14. When sound waves propagate in air, two

11. Diagram (a) below shows a graph of

Majlis Peperiksaan Malaysia 2005

2005 STPM Physics Papers 1 and 2

20. The graph below shows the variation of

16. The diagram below shows the variation of force

The shaded area represents

Which states of the gas are the coldest and

17. A wire is stretched without exceeding the

21. The specific heat capacity at constant volume

Which of the following statements is not true?

22. The electric field strength at point P at distance

18. Which of the following influence the degree

23. The diagram below shows charges +q, +q and

19. The rms speed of the molecules of a certain

The resultant electric field at centre O of the

Majlis Peperiksaan Malaysia 2005

2005 STPM Physics Papers 1 and 2

27. A cell of internal resistance 2.0 is connected

24. The diagram below shows a uniform rod of

If the same material

28. A 5 F capacitor is charged until the potential

is used, which of the

29. In the circuit shown below, capacitor C can

Which of the following influences the time

25. A wire of length and cross-sectional area A has

30. An electric circuit is shown below.

26. Two cylindrical resistors are each made from

If the current flowing through the 10 resistor

2005 STPM Physics Papers 1 and 2

34. When the load of an electric motor is

31. The coil of a moving coil galvanometer has N

35. When a resistor is connected directly to a

33. The diagram below shows three parallel long

37. The diagram below shows an operational

If the distances between X and Y and between

If the input voltage is + 0.5 V, what is the

Majlis Peperiksaan Malaysia 2005

2005 STPM Physics Papers 1 and 2

38. Which of the following statements is not true

43. The diagram below shows two coherent light

39. A monochromatic light propagates in vacuum

If the mth dark fringe is formed at P, what is