Stpm Trial 2009 Phy Q&a (kedah)

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96011

STPM TRIAL 2009

PHYSICS (FIZIK) PAPER 1 (KERTAS 1) MULTIPLE-CHOICE (ANEKA PILIHAN)

One hour and forty-five minutes (Satu jam empat puluh lima minit)

PEPERIKSAAN PERCUBAAN BERSAMA SIJIL TINGGI PERSEKOLAHAN MALAYSIA (STPM) 2009 ANJURAN PERSIDANGAN KEBANGSAAN PENGETUA-PENGETUA SEKOLAH MENENGAH MALAYSIA (PKPSM) KEDAH

Instructions to candidates: DO NOT OPEN THIS BOOKLET UNTIL YOU ARE TOLD TO DO SO There are fifty questions in this paper. For each question, tour suggested answers are given. Choose one correct answer and indicate it on the multiple-choice answer sheet provided. Read the instructions on the multiple-choice answer sheet provided. Answer all questions. Marks will not be deducted for wrong answers . A Data Booklet is provided.

Arahan kepada calon: JANGAN BUKA KERTAS SOALAN INI SEHINGGAANDA DIBENARKAN BERBUAT DEMIKIAN. Ada lima puluh soalan dalam kertas info Bag; setiap soa/an, empat cadangan jawapan diberikan. Pilih satu jawapan yang betul dan tandakan jawapan ffu pads he/sian jawapan sneka pilihan yang dibekalkan. Saca arahan pada he/alan jawapan aneka pilihan itu dengan lel;ti. Jawab semua soalan.Markah tidak akan ditolak bagi jawapan yang salah. Buku Data dibekalkan.

This question paper consists of 37 printed pages (Kertas soalan ini terdiri daripada 37 halaman bercetak)

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1 A student uses the symbols L, M, T, Nand for the dimensions of length, mass, time. quantity of matter and temperature. Based on these symbols, what is the dimension for R in the equation p V", = nR1?

A ML'T'e-'

B M' L'T' e-'

C ML'T' N-' e-'

D MLT'N'

2 An object moves from rest with a unifonn acceleration. Which of the graphs below represents changes in kinetic energy T with distance x?

A

B

T.

o C

1l

D

T

o

·x

o

x

x

T

o

x

3 A body with mass

In is thrown with a speed vat an angle 9 from the horizontal so that it can reach maximum height h. Based on the principle of conservation of energy. the potential energy

of the body at maximum height h is equal to C V2micos 9 4 Mass m l and mass tnz have the same idnelic e nergy. The ratio of momentum for "'I to momentum for "'2 has the same value as

C "ml/ln2

5 A car of 1000 kg is moving with a constant speed of 20 m 5. 1 along a straight road with an OUlput power of 20 kW . If this output suddenly increases 10 60 kW, what is the acceleration of Ihe car at Ihal moment? B 0.2 m S·2

D 2.0 m S·2

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6

lo an experiment, a stone is thrown vertically upwards from the surface of the Earth . The slone wi ll reach a maximum height and then will fall back to the Earth. If the air resistance is negligible, which of the physical quantities below will remain unchanged throughout the whole fl ight? A Force

B Acceleration

C Momentum

D Potential energy

7 A solid cylinder and a hollow cylinder are of the same mass and radius. Both the cylinders are placed at the same height and on the same inclined plane. Which of the fo llowing statements is true? A B

the solid cylinder reaches the bottom of the inclined plane earlier because it has less rotational kinetic energy. the solid cylinder reaches the bottom of the 'inclined plane earlier because it has morc

rotational kinetic energy. C

The solid cylinder reaches the bottom of the inclined plane later because it has less rolational kinetic energy.

o

The solid cylinder reaches the bottom of the incl ined plane later because it has more rotational kinetic energy.

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The diagram below (not to scale) shows (he relative positions of the Earth and the Moon.

Eanh

--------------------------800n y

X

The line XY joins the surface of the Earth to the surface of the Moon. Which following diagrams shows the variation of gravitational potential Valong the line XV? B

A

v

v

o ~X~---======,. y

X Y o f-'-'-----+------'' -'.>

D

C

v

v X Y o~------'-_i>

X Y o ~,____-----"'--i>

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9 The diagram below shows a sphere in static equilibrium. The reaction force acting at the end P of the rod PQ is R.

Smooth hinge

Uniform rod

Q Smooth sphere

Which diagrams below shows the correct reaction R of the force acting on the rod ?

R p

p

R B

A

R

p

p

R

C

o

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10 The graph below shows the variation of displ acement x agai nst time t produced by the oscillation of a particle a l speed 5.0 km S·I.

Timel J1S

The wavelength is A IOmm

C20 mm

B 15mm

D IOO mm

11 The diagram shows a longitudinal wave travelling along a slinky spri ng in the direction shown. Coils X and Y are on either sides of a rarefaction. Direction of Wave motion

.' . IlOOO 00 OOllOoo 0000000000 OOIlO' x

y

/

.

I Rarefaction Which of the following correctly shows the direc tions of the instantaneous displ acements of coils X and Y? A

x

y

B

x

...'m5... C

x

y

...'m5

+-

y

'm5

+- +-

D

x

y

'm5

+-

+-

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12 A particle performs simple harmonic motion with ampl ilUde 30 em and period 2.0 second. When it is 15 em from the equilibrium position, its acceleration is

A O.8 m s·2

B 1.3 rn

D 1.5 m s·2

S·2

13 The diagram below shows a stationary wave generated between two fi xed ends X and Y. Which of the following points are in the same phase as poi nt P ?

"

x,

" y

Bl and3

A land2

C 1, 2and3

o

3 only

14 Which of the following LEAST determines the rate al which the amplitude of a damped simple hannonic mOlion is decreasing ? A

The oscillating mass

B

The damping force

C

The damping constant

D

The frequency

15 A pipe which is opened at one end only has length L. What is the length of a pipe which is opened at both ends and has the same fundamental frequency as the first pipe ?

CL

D 2L

16 A source that emits sound of frequency 500 Hz is fixed to the e nd of rod 0.5 m long. The rod 1 is TOtaled in a horizontal c ircle wilh angular velocily 50 rad 5- • Whal is the maximum frequency received by a slationary observer ? (The speed of sound in air = 340 m A 500 Hz

1 5- ]

B 540 Hz

C 537 Hz

D 579 Hz

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nver.

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17 A particle moves so thai its potenLial energy U is directly proportional to the square o f its displacement x. Which of the following graphs shows the correct relationship between the force F and the displacement of the particle F F

B

A

x x

D

C F

x

x

18 For a diato mic gas at temperature T. each degree o f freedom has an average energy of

A ~ kT 2

D ~ kT

B kT

2

4

19 When the pressure of an ideal gas is increased fro m 6.0 x 10 Pa to 1.0 x 105 Pa, its vo lume decreases from 3.0 x 10-) m} to 1.0 x 10-3 mJ . If the ini tial root mean square speed of the gas molecules is v, what is the final root mean square speed of the gas mo lecules in tenns o f v ?

A v

B 0.56v

C 0 .75v

D

l.34v

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20 The diagram below shows an ideal gas undergoes a cyclic process. Pressure

- --1 \

~C 0,: . ... .. .

..

.

o

Volume

Which statement is true about ihe changes?

A

Be represents an adiabatic expansion

8

The work done by the gas in the process AB is the same as that done on the gas in the process CD

C No work is done on the gas in the process DA o No work is done by the gas in the process Be

2] The temperature of a body at 100° C is increased by /10 0 C as measured on the Celsius scale.

How is this temperature change expressed on the Kelvin scale? A MJ

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B M + 100

C tJ.O + 273

D tJ.O+ 373

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22 The graph below shows the variation of temperature 8 with the di stance from the hot end of a rod XZ.

.'C

91

-.- •• •• •• '-~-.'r----,

Based on the graph above, which of the following is true?

A The portion YZ is co mpletely in sulated. B The temperature 8 1 is higher than the room temperatu re. C The rate of flow of heat along the rod is constant.

D The rate of nct fl ow of heat at the end of Z is zero.

23 One end of an insulated metal rod is maintained at 100°C and the other end is placed in icewater mi)(turc. The bar has a length of 50.0 em and cross-seclional area of 0.800 cm2 , The heat conducted by the rod mehs 3.00 g of ice in 5.0 minutes. Calculate the thermal conductivity of the metal. [Latent heat of fusion of ice = 3.33 x 10 5 J kg' l] A

2.08 W

m -I

K-I

B 3.33 W m ' l K'!

C 4. 16 W of' K" l

0 10.2 W m - I K-I

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24 An oil drop 0 carries a charge 4e, where e is the charge of electron. The drop is placed between two plates which are 5 mm apart and al a potential difference of 600 V. Calculate the mass of the oil drop. +

o

A 7.7 x 10-15 kg

25

•

5mm

4e

B 5.2 x 10·" kg

600 v

C 3.0 X 10·" kg

I < .--~~--.------.--+qJ

+ql

1:-

20cm

-:1

-q2

em

.1

What is the total force exerted on the point charge qJ by the other two point charges?

B 2.8 x 10-' N

A 28 N

C -2.8 x 10-' N

0 -28 N

26 To increase the capacitance of a paralle) plate capaci tor, which of the foll owing quantity

must be increased '! A Surface area of the plates. B The distance of separation of the plales. C The voltage applied across the plates. D The thickness of the plates.

96011 .T1.:~ ~, ...",; .... "

............ r ; co rA""'Pl npl\fTlA I " nl, 1 ,h .. pyo:. rn;n !>'; nn if;: nVf'r

rONFmF.NTJA J ,.

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27 Fo ur ide ntical capacitors with capacitance 2 J.lF each are connected together so that their resultant capacitance is al so 2 F. Which of the following arrangement will yield the required resultant capacitance?

-i H H H IA

B

C

D

28 When the potential difference across a metallic conductor is increased, which of the fo llowing statements is true?

A The electric fi eld intensity in the conductor remains the same. D The drift velocity of the charge carriers increases. C The charge carrier per unit volume increases.

D The current density remains the same.

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29 In the circuit below, delenni ne hand 12 if the internal resistance of the two cell s are negligible. 1.5 V

~-d/'

1.5 V

II

In

}Iz 2n

Iz

A

I, 0.75 A

0 .75 A

B

0.75 A

1.25 A

C

2.25 A

0.75 A

D

2.25 A

1.25 A

30 Tbe diagram below shows a circuit :

- v ___

r----JII-'----, R Which of the following graph shows how the temlinal potential difference V across the ceU varies with the cxternaJ resistance R?

:~

R

'L 0

A

lL,

R

B

'~ R

0

C

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D

,.Y~m ; mu i nn; ~

" "" r

rr\Nl?rOJi'I\JTI ...

I ,.

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31 An electron moves into a unifonn magnetic field with a certai n velocity. If the velocity of the electron is in the same direction as the magnetic field , which of the following statements about the subsequent mo~ ~on of the electron in the magnetic field is true 1. A The electron accelerates to the left.

B The electron accelerates to the right. C The electron continues to move with ils original velocity.

D The electron is de nected and moves in a circle at constant speed. 32 Whe n the load decreases, the speed of rotation of an electric motor increases and lhe current nowing through it decreases. This happens because A the back c. m.f. increases

B the frictional force decreases C the resistance of the armature coil increases D the inductance of the armature coil increases

33 The planes of vibration of the electric and magnetic fields in an electromagnetic wave are A parallel to each other and parallcl to the direction of lhe propagation of the wave B parallel to each other and perpendicular to the directi on of the propagation of the wave C perpendicular to each other and parallel to the direction of the propagation of the wave D perpendicular to each other and perpendicular to the direction of the propagation of the wave

34 An aitem ating current I which flow s through a 10 Q resistor is given by 1 = 3 sin ( lOOt). If I is in amperes and t in seconds, what is the mean power generated in the resistor? A lOW

B 30W

C 45W

D IOOW

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35 The diagram below shows the variation of voltage V across a capacit9r with time t.

v O ~--~-----+----~-

t

Which of the following graphs show the variation of the current I through the capacitor with time t ? I

I

A

/

I

I

C

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)I

D

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36 An op-amp has several terminals for connecti ng to external components. How many terminals are made use of in normal use? A

4; namely input terminal. output terminal, supply voltage terminal and feedbac k

terminal. B

4; namely non-inverting input terminal, inverting input terminal, o utput terminal and supply voltage terminal.

C 5; namely non-inverting input terminal , inverting input terminal, output terminal, supply voltage terminal and feedback terminal

D

5; namely non-inverting input tcnninal , in verting input terminal, output tenninal. positive supply voltage terminal and negative supply voltage tenninal.

37 The diagram below shows an op-amp circuit.

R, V, V,

R,

R,

o--C==:J--L-i

~----~-----oV,

-9V

What is lhe magnitude of the output voltage, Vo? A V = R3V +R3 V: ° R[I R22

8

Vo =~",,+R2 V2 R]

C V, = (V, +v,

R)

)(~) R, +R,

38 When an electromagnetic wave travels from o ne medium to another, which of the fo llow ing quantities remains uncha nged ? A Speed

B Frequency

C Wavelength

o

Amplitude

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39 Di agram (a) below shows an inverted image formed on a screen by a convex lens.

f : Object

~<3 Image (a)

What happens to the image when a cardboard is used

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cover up the upper half of the lens

as shown in diagram (b) below? Cardboard

T I Screen

Object (b)

A The whole object appears as image on the screen with the same brightness as before. B The whole object appears as image on the screen with reduced brightness.

C Only the upper half of the object appears as image on the screen.

D QnJy the lower half of the object appears as image on the screen .

40 Which two optical devices always yield virtual and upright images'! A

A

concave mirror and a concave lens.

H A concave mirror and a convex lens.

e

A convex mirror and a concave lens.

D A convex mirror and a con vex lens.

41 A diffraction grati ng with 1500 slits per centimeter is illuminated with light of wavelength 500 nm. What is the highest order that can be observed with thi s grating? A

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Il 13

C 14

D 27

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42 Which of the following graphs best represents the variation of the maximum velocity v of photoelectrons emitted from a metal with the frequency fof the incident light ?

v

v

o

o

f

A

v

v

o

o C 43

f

B

f

D

f

If electron A has twice the kinetic energy of electron B, the ratio of the de Broglie wavelength of e lectron A to thai of electron B is

AI:2

81 :,h

C2: 1

D ~2: 1

44 The diagram below shows two adjacenl lines in the spectrum of a hot gas.

x

y

I I Line X is brighter than line Y because A line X has higher frequency

B line X has longer wavelength C line X originates in the houer part of the gas D more electrons undergo transitions between two energy level s involved in the emission

for line X 960/1 *This question paper is CONFIDENTIAL until the examination is over.

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45 In an X-ray tube, an accelerating potential V produces X-rays of minimum wavelength 1.2 x 10,10 m. In order (0 produce X-rays of minimum wavelength 0.6 x 10. 10 m, the accelerating potential should be

A

.!.V

B

4

.!.V 2

C

D

2V

4V

46 Laser pulses of wavelength 5 14 nm and power 1.50 W are used in eye surgery. Each pulse lasts for 0.040s. How many number of photons are there in each pulse? A 8.57 x 10"

B 1.55 x 10"

D 9.69 x 10"

C 3.88 X 10"

47 Two deuterium nuclei fuse together to fonn a Helium-3 nucleus, with the release of a neutron . The reaction is represented by ~ H + ~ H ~ ; He + ~ n + cnergy The binding energies per nucleon are for ~ lf 1.09 MeV for ; He 2.54 MeV How much energy is released in this reaction? A 0.36 MeV

B 1.45 MeV

D 5.44 MeV

C 3.26 MeV

48 The half-life of a certain radioactive clement is such that

i

of a given q uan ti ty decays in 12

days. What fraction remains undecayed after 24 days?

A 0

B

1 128

C

1

D

64

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49 An event on a distant star causes the emission of a burst of radiaLion containing p panicles, y rays and light. Which of the following statements about the order in which these radiations arrive at Ihe Earth is correct? A The light would arrive first B The y ray s would arrive first C AlIlhree would arrive together D The light and the y rays would arrive together, ahead of the

Pparticles

SO Which of the following abou t the elementary particles is Dot true? A Electrons are mesons. B Hyperons are baryons. C A meson consists of two quarks. D The mass of a baryon is equal to or greater than that of a proton.

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96012

STPM TRIAL 2009

PHYSICS (FIZIK) PAPER 2 (KERTAS 2) STRUCTURE AND ESSAY (STRUKTUB DAN ESEIl

Two and a half hours (Dua jam setengah)

PEPERIKSAAN PERCUBAAN BERSAMA SIJIL TlNGGI PERSEKOLAHAN MALAYSIA (STPM) 2009 ANJURAN PERSIDANGAN KEBANGSAAN PENGETUA-PENGETUA SEKOLAH MENENGAH MALAYSIA (PKPSM) KEDAH Instruction to candidates: Answer all the questions in Section A in the spaces provided. All

working must be shown. For calculations, relevant values of constants ;n the Data Booklet must be used. For numerical answers, units must be quoted wherever they are appropriate. Answer any four questions from Section B. For this section, write your answefS on the answer sheets provided. Begin each 8nSW6fon a fresh sheet of paper, and 8ff8nge your anSW8fS in numerical order.

For examiner's use (Untuk kegunaan pemeriksa)

, 2

3

rIB your

4

answersheet this booklet. Answers may be written In either English or Malay.

5

Arahan kepada calon:

7

6

Jawab s emus soalan dalam Bahagian A dalam ruang yang disediakan. Semua kerja mestilah ditunjukkan. Bag; penghitungan. nilai pemaJar yang berkaitan dalam Buku Data mestilah digunakan. BagIjawapan berangka, unit mestilah dinyatakan di mana-mana yang sesuai. Jawab mana-mana empat soalan daripada Sahagian B. Untuk bahagian ini, tulis jawapan anda pada helsian jawapan yang dibekalkan. Mu/akan setiap jawapan pada helaian kertas yang baru, dan susun jawapan anda mengikut tertib berangka. /kat he/aianjawapan anda bersama oongan buku SOB/an inl. Jawapan bo/eh ditulis da/am bahasa Inggeris atau bahasa Me/ayu.

8 9

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'2 13 14 Tolal (Jumlah)

This question paper consists of 25 printed pages (Kertas soalan ini terdiri daripada 25 halaman bercetak)

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Answer all questions in this section .

1 The diagram below shows a rock of mass 3.0 kg projected from a building which is 49.0 m above the ground with a speed of 29.4 m 5. 1 at an angle of 3et' below the horizontal.

m= 3.0 k~

49.0m

1 Find the kinetic energy of the rock when it hits the ground.

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In some harbours, the rise and fall of the water level is simple hannonic. In one harbour, the

equation for the depth II of water is given by h =5.0 + 3.0sin ~, where II is in metres and t is the 45600

time in seconds. (a) What is meant by simple hannonic motion?

[1 mark]

(b) Ca1cu!ate the maximum depth of water.

[2 marks]

(c) Ca1culate two values of I which the water is 5.0 m deep

[2 marks]

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3 A vacuum flask contains 0.52 kg of water. The initial temperature of the water is 81°C. A cylindrical cork of cross-sectional area 5.0 x 10-3 m2 and thickness of 30 nun is used to close the flask. 45 minutes later, the temperature of the water drops to 76°C. The average temperature of the inner and outer surfaces of the cork are 52 °C and 21°C respectively. (a) Calculate the fraction of the total heat lost from the flask which passes through the cork.

[3 marks]

(b) Suggest a way by which the remaining heat is lost. [Specific heal capacity of water = 4.2 x 10) J kg-' KI; cork = 5.2 x 10-2 W m-I K ' ]

[2 marks] thenna] conductivity of

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4 The diagram below shows a circuit consisting of a 126 n resistor, a 275 n resistor, a 182 ).IF capacitor, a switch and a 3.0 V battery all connected in series. Initially the capacitor is uncharged and the switch is open. At time t = 0 the switch is closed. 1260

3.0V

182""

(a) What cbarge will the capacitor have after the switch is closed for a long time?

[2 marks]

(b) At what time will the charge on the capacitor be 80 % of the value found in (a) ,

[3 marks]

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5 The diagram below shows an amplifier circuit. 330kfi .1 5V

1\ ~--C:>---'r----.j. 10 kfi

> .....-~v. - 15 V

(a) State the name of the amplifier circuit whicb is connected to various inputs.

[I mark]

(b) Ca1culate the output voltage Vo if VJ = 0.50 V and V1 = 0.20 V .

[2 mar ks]

(b) What happen to the output vollage if the supply ± IS V is replaced with ±9 V? [I mark]

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6 A thin aluminium foil is placed in between two Oat glass slides to fonn an air wedge. The edge of

the foil is at a distance 80.0 mm from the line of contact of the slides. When light of wavelength 5.89 x 1O-7 m illuminates nonnally the plates. the interference pattern between 2 consecutive bright fringes formed have a separation of 2.50 tnm .

(al Calcu late (i) the wedge angle, and

[I mark]

(ii) the thickness of the foil

[I mark]

(b) What happens 10 the fringe pattern when the air wedge is filled with water of refractive index [3 marks]

1.33.

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7 (a) Describe how an emission

s~ trum

is produced.

[1 mark]

(b) The diagram below shows the energy levels of a hydrogen atom.

o,v -0.8.5 eV - 1..5 1 eV

- 3.40eV

- J3.6eV

(i) What is meant by energy level at 0 eV?

[J mark]

(ii) What is the ionization e nergy of the hydrogen atom in l ouie?

[1 mark]

(iii) Transition between which two energy level takes place when a pholon of wavelength 660 nm is emitted ? [2 marks)

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8 (0) How is the nuclear binding energy usually measured?

papercollection [I mark]

(b) A fusion reactor is based on the reaction: ~H + ~H -+ ;He + ~n Nuclide

'n

Relative atomic number 1.008665

'H ' He 'H

4.002603 3.0 16050

2.0 14102

If 150 g of a suitable mixture of hydrogen isotopes is used, how much energy may be produced? [4 marks]

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Section B [60 marks] Answer any four questions in this section.

9 (a) What is meant by proj ectile motion?

[2 marks]

(b) A ball is launched horizontally from one come r, 0, of a smooth flat plane that is inclined at an angle of 30° to the horizontal. The aim is to make the ball to reach the point P at the opposite com er of the plane.

o 2.0

p (i) How lo ng does it take the ball to reach P from O?

[3 marks]

(ji) At what speed should the ball be launched?

[3 mlIrks]

(e) Two blocks of mass M kg and In kg lie on an inclined plane as shown in the diagram below. A force P acts on the M kg mass so that the block is just about to slide down the plane. Assume that the pulley is smooth and the coeffic ie nt of friction between the two blocks and the plane is jJ..

p

II mark]

(i) What is meant by coefficient o/friction?

(ij) Draw the direction of frictional forces acting on the blocks and detemline the magnitude of the frictional forces in terms of M, 111, g, Band Ii.. [3 marks] (iii)If M = 9.0 kg, m = 5.0 kg, Jl= 0.25 and B= 30°, determine the value of P.

[3 mar ks]

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10 ca) State the First Law o!Thennodynamics,

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A \'esse) contains 0.50 mol of an ideal gas at temperature 27 DC and pressure 200 kPa. The gas is healed and allowed to expand at constant pressure until its temperature reaches 77 DC. The molar heat capacity of the gas at constant pressure is 21.6 J mariK", Calculate (i) the volume of the gas at 27 DC

[4 marks]

Oi) the amount of heat absorbed by Lhe gas when the temperature of the gas reaches 77 DC [3 marks]

(iii) the increase in internal energy of the gas when the temperature of the gas reaches 77 DC [3 marks]

(iv) the work done by the gas when the temperature of the gas reaches 77 DC [3 marks]

11 (a) (i) A thin bar magnet is placed in a uniform magnetic field. State the orientation of the poles of the bar magnet relative to the direction of the magnetic field. [1 mark] (ii) Define magnelic flUX density.

[2 marks]

(iii) State two differences between the force due to e lectric field and the force due to magnetic field on a charged particle. [2 marksJ

(iv) A straight cond uctor of length L carrying a current 1 lies in a magnetic fi e ld of magnetic flu x density B which is perpendicular to the direction of current I. Starting from the magnetic force d ue to a moving charge, deri ve an expression for the magnitude of the magnetic force on the conductor in tenns of L. I, and B. [4 marks] (b) (i) The earth's magnetic flux density is 2.0 x lO.s T . A magnetic flux of equa l magnitude can be produced at a distance of 10.0 cm from a wire carrying a current I. Calcu late the value of I required. [3 marks]

(ii) Calculate the force per metre between two long parallel straight wires 10.0 cm apart, each carrying a current equal to the value of I in (b) (i) above. [2 marks]

(iii) If the force produced in (b) (ii) above is a repulsive force. state the directions of the· currents flowing in the two wires. [I markJ

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12 (a) The diagram below shows a narrow parallel beam of light rays propagate along the principal axis of a convex mirror.

Light rays Principal axis (i) What happens to the light rays, with reference to the focal point of the mirror, after it is reflected by the mirror? [2 marks]

[I mark]

(Li) What is the sign aCthe focallengtb of the mirror?

A convex mirror has radius of curvature 1.0 m. A 2.0 m object is placed 5.0 m away from the mirror. (iii) Where is the image? (3 marks] (iv) What is the image height? [I mark] (v) Is the image real or virtual? [I markJ

(b) The diagram below shows a spherical surface which acts as a boundary between two medium with refractive indices " 1 and "2.

Nonnalline

"1

'"

I,

o _u--+

r-

v

- - - -+

An object 0 is placed in the medium of refractive index "I at a distance " from the surface. The image J is produced at a distance v from the surface. (i) Using the relationship

for refraction of light passing from one medium to another, where i l and h are angles as shown in the diagram, and assuming that i l and ;2 are small, show that ~+~=~-~

u

v

r

where r is the radius of curvature of the spherical surface.

(4 marks)

(ii) A speck of dust is 2.0 cm from the centre of a sphere of radius 6.0 c m. The material of the sphere has a refractive index of 1.5. Find the image distance, as viewed along the diameter through the speck from the far side. [3 marks]

96012 · Thi s question paper is CONFIDENTIAL until the examination i... nv,.r

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[I mark J

13 (a) What is meant by photoelectric effect ? (b) Einstein's photoelectric effect equation is gi ven as follow:

(i) State the meaning of the terms hf,

.!. m~Vm2, and W in the equation above. 2

[3 marksJ (ii) Explain why pho toelectrons released have different velocities even though an incident

[1 mark]

rad iation of fixed frequency is used. (c) A light of wavelength 450 om fall s o n ceasium with a work functio n of 2.0 eV.

Ca1culate (0 the threshold frequency,

[3 marks1

(ii) the maximum kinetic energy of the liberated electrons.

[2 marksJ

(iii) the stopping potential.

[2 marksJ

(d) What is the de Broglie wavelength of an electron with a kinetic energy of 120 eV ?

[3 marksJ

14 (a) Radioactivity is a random and spontaneous process. Explain the meaning of random and spontaneous in the above statement. [2 marks] (b) All rad ioactive decay can be represented by the equation dN = .'J..N dl (i)

What is represented by dN and N? dl

[2 marksJ

(ii) By using the above equalion. deri ve the relationship between l. and its half life T . j

[3 marksJ (e) One of the dangers of radioactive fallout from a nuclear bomb is its SIO Sr which decays with a 28.7 year half· life. A mega· ton bomb produces approximately 400 g of SIOS r . If the fallo ut spreads uniformly over a 200 knl area,

(i) what will be the count·rate in S!Ci m-2,!

[5 marksJ

[I Ci = 3.7 x 1010 ,.'J

(ij) how long will it take for the activity of 2.0 j.lCi m-2 ?

Ol'nn

90 Sr

to reach agricultural safe level of [3 marksJ

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