45
SUPERVISOR TO ATTACH PROCESSING LABEL HERE Figures Words STUDENT NUMBER Letter 9LFWRULDQ &HUWL¿FDWH RI (GXFDWLRQ 2011 PHYSICS Written examination 2 7XeVGa\ 1 1oYemEer 2011 5eaGinJ time 11 am to 1200 noon 1 minXteV WritinJ time 1200 noon to 10 Sm 1 KoXr 0 minXteV 48(S7I21 $1' $1SW(5 %22. StrXFtXre oI EooN Section Number of questions Number of questions to be answered Number of marks $ ± Core ± $reaV oI VtXG\ 1. Electric power 18 18 37 2. Interactions of light and matter 13 13 29 % ± 'etaiOeG VtXGieV 1. Synchrotron and its applications 25 12 12 24 2. Photonics 25 12 12 24 3. Sound 12 12 24 Total 90 6WXGHQWV DUH SHUPLWWHG WR EULQJ LQWR WKH H[DPLQDWLRQ URRP SHQV SHQFLOV KLJKOLJKWHUV HUDVHUV VKDUSHQHUV UXOHUV XS WR WZR SDJHV RQH $ VKHHW RI SUHZULWWHQ QRWHV W\SHG RU KDQGZULWWHQ DQG RQH VFLHQWL¿F FDOFXODWRU 6WXGHQWV DUH 127 SHUPLWWHG WR EULQJ LQWR WKH H[DPLQDWLRQ URRP EODQN VKHHWV RI SDSHU DQGRU ZKLWH RXW OLTXLGWDSH 0ateriaOV VXSSOieG 4XHVWLRQ DQG DQVZHU ERRN RI SDJHV $ IRUPXOD VKHHW $QVZHU VKHHW IRU PXOWLSOHFKRLFH TXHVWLRQV InVtrXFtionV :ULWH \RXU VtXGent nXmEer LQ WKH VSDFH SURYLGHG DERYH RQ WKLV SDJH &KHFN WKDW \RXU name and VtXGent nXmEer DV SULQWHG RQ \RXU DQVZHU VKHHW IRU PXOWLSOHFKRLFH TXHVWLRQV DUH FRUUHFW anG sign your name in the space provided to verify this. 8QOHVV RWKHUZLVH LQGLFDWHG WKH GLDJUDPV LQ WKLV ERRN DUH not drawn to scale. $OO ZULWWHQ UHVSRQVHV PXVW EH LQ (QJOLVK $t tKe enG oI tKe examination 3ODFH WKH DQVZHU VKHHW IRU PXOWLSOHFKRLFH TXHVWLRQV LQVLGH WKH IURQW FRYHU RI WKLV ERRN StXGentV are 127 SermitteG to ErinJ moEiOe SKoneV anGor an\ otKer XnaXtKoriVeG eOeFtroniF GeYiFeV into tKe examination room 9,&725,$1 &855,&8/80 $1' $66(660(17 $87+25,7<

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Page 1: SUPERVISOR TO ATTACH PROCESSING LABEL HERE 2011 · SUPERVISOR TO ATTACH PROCESSING LABEL HERE Figures Words STUDENT NUMBER Letter 9LFWRULDQ &HUWL¿FDWH RI (GXFDWLRQ 2011 PHYSICS Written

SUPERVISOR TO ATTACH PROCESSING LABEL HERE

Figures

Words

STUDENT NUMBER

Letter

2011

PHYSICSWritten examination 2

e a 1 o em er 2011 ea in time 11 am to 12 00 noon 1 min te Writin time 12 00 noon to 1 0 m 1 o r 0 min te

S I SW Str t re o oo

Section Number of questions

Number of questions to be answered

Number of marks

Core rea o t1. Electric power 18 18 372. Interactions of light and matter 13 13 29

etai e t ie1. Synchrotron and its applications 12 12 242. Photonics 12 12 243. Sound 12 12 24

Total 90

ateria ie

In tr tiont ent n m er

name and t ent n m eran sign your name in the space provided to verify this.

not drawn to scale.

t t e en o t e examination

St ent are ermitte to rin mo i e one an or an ot er na t ori e e e troni e i e into t e examination room

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S C I – continued

S C I Core

In tr tion or Se tion a or ot

pen.

g –2.

rea o t Pa e

Electric power ............................................................................................................................................................ 3

Interactions of light and matter .................................................................................................................................. 15

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3 2011 PHYS EXAM 2

SECTION A – Area of study 1 – continuedTURN OVER

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AArea of study 1 – Electric power

Use the following information to answer Questions 1 and 2.Two identical bar magnets of the same strength are arranged at right angles and are equidistant from point P, as shown in Figure 1.

S N

SN

P

Figure 1

Question 1

1 mark

Question 2The bar magnets are replaced by two weaker magnets. The two new magnets are identical to each other. They are arranged at right angles and are equidistant from point P.

single

S N

SN

directionof Earth’s

magnetic field

P

Figure 2

and Earth.2 marks

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SECTION A – Area of study 1 – continued

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A

Use the following information to answer Questions 3–7.

NS

5.0 cm

J

K

M

L

X

Y

I

Figure

Question

Question

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SECTION A – Area of study 1 – continuedTURN OVER

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AQuestion

N

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SECTION A – Area of study 1 – continued

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AQuestion

A

time

time

C

time

time

Question

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SECTION A – Area of study 1 – continuedTURN OVER

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AUse the following information to answer Questions 8 and 9.

2

N S N

orientation A orientation B orientation C

N S S

Figure

to the vertical.

Question

A

C

Question

V

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2011 PHYS EXAM 2 8

SECTION A – Area of study 1 – continued

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Use the following information to answer Questions 10–12.A small bar magnet is moved through a circular wire loop, as shown in Figure 5. The magnet moves with constant speed through the centre of the loop, in the direction shown by the arrow. An emf is generated in the wire loop. The wire loop is connected to an oscilloscope, as shown in Figure 5.

N S

loop

Figure 5

Question 10Explain why an emf is generated in the wire loop.

2 marks

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SECTION A – Area of study 1 – continuedTURN OVER

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AQuestion 11

downwards as positive.

emf

time

Question 12

in an anticloc wise anticloc wise direction.

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2011 PHYS EXAM 2 10

SECTION A – Area of study 1 – continued

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A

Use the following information to answer Questions 13–16.A small town is supplied with electricity from a small hydroelectric generation plant about 20 km from the town. Electricity is transmitted to the town through a two-wire high-voltage transmission line. The input voltage to the transmission lines at the generator end is 50 000 VRMS AC. The current in the lines is 15 ARMS. At the edge of town, a transformer converts this into 250 VRMS AC for use in the town.The system is shown in Figure 6.

250 VRMS ACto town

transformer49 400 V

primarycoils

secondarycoils20 km

50 000 VRMS AC

hydroelectric plant

Figure 6

Question 13Calculate the power supplied to the transmission lines. Show your working.

W

2 marks

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11

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AQuestion 1

safely at a lower transmission voltage.

Question 15

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2011 PHYS EXAM 2 12

SECTION A – Area of study 1 – continued

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At the edge of town, a transformer is used to reduce the voltage to 250 VRMS AC for use in the town. The voltage at the input to the substation is 49 400 VRMS.

Question 16Assuming that the transformer is ideal, calculate the value of

current in the secondary coilscurrent in the primary coils

2 marks

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13

SECTION A – Area of study 1 – continuedTURN OVER

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A –4 T.

Question 1

AB

CD

0.01 0.02 0.03time (s)

force on one metre of wire (N)

6 × 10–3

–6 × 10–3

4 × 10–3

–4 × 10–3

2 × 10–3

–2 × 10–3

0force (N)

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EN OF AREA OF STU Y 1SECTION A – continued

Question 1

6 V, 2 A

6 V, 2 A12 V 12 V

12 V, 1 A 12 V, 1 A 12 V, 1 A

A B

Figure

in your answer.

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15N

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SECTION A – Area of study 2 – continuedTURN OVER

Area of study 2 – Interactions of lig t and matter

Use the following information to answer Questions 1–4.

They use a laser of d 1 and S2

P

P

CC

d

S1 S2

laser

L

Figure 1

Question 1

2P – S1

nm

Question 2L

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SECTION A – Area of study 2 – continued

Question 3L is reset to its original value.

d

Question

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17N

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SECTION A – Area of study 2 – continuedTURN OVER

Use the following information to answer Questions 5–9.Students set up the apparatus shown in Figure 2 to study the photoelectric effect.

A

V

metal plate

collector electrode

light sourcefilter

voltmeter variable DC voltage source

photocell

+

ammeter

Figure 2

The apparatus consists of

is shown in Figure 3.

I ( A)

V (volts)XO

Figure 3

Question 5

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2011 PHYS EXAM 2 18

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SECTION A – Area of study 2 – continued

S14

14

14

14

14

Question 6

maximum kinetic energy of

photoelectrons(eV)

0 1 2 3 4 5 6 7 8

–3

–2

–1

1

0

2

3

f(Hz × 1014)

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SECTION A – Area of study 2 – continuedTURN OVER

Question h

eV s

Question longest wa elengt

nm

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SECTION A – Area of study 2 – continued

Question

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SECTION A – Area of study 2 – continuedTURN OVER

Use the following information to answer Questions 10–12.

Question 10

eV

Question 11

eV

Question 12

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2011 PHYS EXAM 2 22

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END OF SECTION A

Question 13Figure 4 shows the energy level diagram for the hydrogen atom.

ionisation energyn = 6n = 5

n = 4

n = 3

n = 2

n = 1 ground state0

10.2

12.1

12.8

13.113.213.6

energy (eV)

Figure 4

An atom of hydrogen is in the n = 4 state.List below all the possible energies, in eV, of photons that could be emitted as this atom decays to the ground state.

3 marks

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SECTION B – continuedTURN OVER

SECTION B – Detailed studies

Instructions for Section BSelect one

all in pencil

andcorrect

not

g –2.

Detailed study Page

Synchrotron and its applications ................................................................................................................................ 24

Photonics .................................................................................................................................................................... 30

Sound ......................................................................................................................................................................... 35

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2011 PHYS EXAM 2 24

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SECTION B – Detailed study 1 – continued

Detailed study 1 – Synchrotron and its applications

Question 1

storage ring

booster ring

beam line

linac

Figure 1

The main components in the Australian Synchrotron are shown in Figure 1 above.The main purpose of the storage ring is toA. store the high energy X-rays for experiments.B. increase the energy of the electrons to the maximum value.C. maintain the energy of the electrons at the maximum value.D. focus the electron beam for injection into one of the beam lines.

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SECTION B – Detailed study 1 – continuedTURN OVER

Question 2

electron beam

electron source

X Y

Figure 2

7 m s–1 .

–31 –19

A. + 2 000 VB. – 2 000 VC. + 15 000 VD. – 15 000 V

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2011 PHYS EXAM 2 26

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SECTION B – Detailed study 1 – continued

Use the following information to answer Questions 3 and 4.Electrons with a velocity of 1.30 × 106 m s–1

–31 kg and charge –1.6 × 10 C.

× × × × ×× × × × ×× × × × ×× × × × ×× × × × ×× × × × ×× × × × ×× × × × ×× × × × ×× × × × ×× × × × ×× × × × ×× × × × ×

0.350 m

v = 1.30 × 106 m s–1

Figure 3

Question 3

A. –13

B. 2.1 × 10–5

C. 4.2 × 10–2

D.

Question 4

A. 0 m s–1

B. much less than 1.30 × 106 m s–1

C. 1.30 × 106 m s–1

D. greater than 1.30 × 106 m s–1

Question 5

A. slowing down of electrons in the storage ring.B. change of direction of electrons in the storage ring.C. linear acceleration of electrons in the storage ring.D. linear acceleration of electrons in the booster ring.

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SECTION B – Detailed study 1 – continuedTURN OVER

Question 6

A.B.C.D.

Question

A.B. increasing the speed of the electrons in the storage ring.C.D.

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2011 PHYS EXAM 2 28

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SECTION B – Detailed study 1 – continued

Use the following information to answer Questions 8–10.X-rays of wavelength 0.140 nm emerge from a synchrotron beam line onto a crystal under investigation.

Question 8Which of the following best gives the energy, in eV, of these X-rays?A. 1.7 × 10–15 eVB. 8.9 × 10–6 eVC. 3450 eVD. 8900 eV

Question 9

A. 0.072 nmB. 0.27 nmC. 0.54 nmD. 2705 nm

Question 10

A. 5.0° and 7.5°B. 30° and 45°C. 31° and 51°D. 45° and 89°

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END OF DETAILED STUDY 1SECTION B – continued

TURN OVER

Question 11

A.B.C.D.

Question 12

A. 0.025 nmB. 0.24 nmC. 0.25 nmD.

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SECTION B – Detailed study 2 – continued

Detailed study 2 – Photonics

Question 1

A. wide spectrum and coherent.B. narrow spectrum and coherent.C. wide spectrum and incoherent.D. narrow spectrum and incoherent.

Question 2

A. thermal motion of valence electronsB.C.D.

Use the following information to answer Questions 3 and 4.

Question 3

A. –21 eVB. –19 eVC. –9 eVD. 2.0 eV

Question 4

increasing

A.B.C.D.

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SECTION B – Detailed study 2 – continuedTURN OVER

Use the following information to answer Questions 5 and 6.

–4 –3 –2 –11 2 2.2 3 4

40

30

20

10

–10

–20

–30

O

I (mA)

V (volt)

Figure 1

3.0 V

LEDR

Figure 2

Question 5

A.B.C.D.

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SECTION B – Detailed study 2 – continued

Question 6

3.0 VLED 1

LED 2

R

Figure 3

A.B.C.D.

Question

A.B.C.D.

Question 8

n = 1.36

n = 1.42

not to scale

air n = 1.00 cladding

core

Figure 4

A. 17°B. 45°C. 47°D. 73°

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33 2011 PHYS EXAM 2N

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SECTION B – Detailed study 2 – continuedTURN OVER

Use the following information to answer Questions 9 and 10.

n = 1.32

n = 1.48

not to scale

n = 1.00

cladding

light source

core

Figure 5

Question 9

A.B.C.D.

Question 10

n = 1.33

light source

Figure 6

A.B.C.D.

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END OF DETAILED STUDY 2SECTION B – continued

Question 11

A.B. modal dispersion.C. material dispersion.D.

Question 12

A.B. 8.0 C.D. 20

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SECTION B – Detailed study 3 – continuedTURN OVER

Detailed study 3 – Sound

R S

P

Q

Figure 1

The speed of sound in air is 320 m s–1.

Question 1

A.B. It moves in direction S with a constant speed less than 320 m s–1.C.D. It moves in direction S at a constant speed of 320 m s–1.

Use the following information to answer Questions 2 and 3.

–4 –2.

Question 2sound intensity le el

A.B.C.D.

Question 3

sound intensityA. –5 –2

B. –5 –2

C. –4 –2

D. –4 –2

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2011 PHYS EXAM 2 36

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A

SECTION B – Detailed study 3 – continued

Use the following information to answer Questions 4 and 5.Ashley is doing an experiment at school using audio equipment. The equipment includes an oscillator that provides

oscillator amplifier

Figure 2

20 100 500 1 000 5 000 10 000

1201101009080706050403020100

120

100

80

60

40

20

0

sound intensity level(dB)

frequency (Hz)

lines of equalloudness (phon)

Figure 3

Question 4

A. 30B. 37C.D.

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Question 5

A.B.C.D.

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2011 PHYS EXAM 2 38

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SECTION B – Detailed study 3 – continued

Use the following information to answer Questions 6 and 7.

1.1 m

water

gas

loudspeaker

transparent box

Figure 4

Lee has been given the task of determining the speed of sound in a particular gas. The equipment he uses is shown in

above it. The water level is set as shown in Figure 4 to give a length of gas column of 1.1 m. The frequency of the

Figure 5 below shows possible standing pressure waves in the top section of the tube. The pressure scale represents the amount the pressure in the tube differs from the normal pressure of the gas in the transparent box.

water water water water

A. B. C. D.

1.1 m

0 0 0 0

Figure 5

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Question 6pressure ariation P,

Question

A. 300 m s–1

B. 320 m s–1

C. –1

D. 400 m s–1

Question 8

rst lowest resonance

tube

A.

0

B.

0

C.

0

D.

0

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2011 PHYS EXAM 2 40

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SECTION B – Detailed study 3 – continued

Question 9Robin is asked to address a large crowd on an oval at the school athletics day. There are two public address systems; each system has a total power output of 160 W. Option A (see Figure 6a) has a single loudspeaker of diameter 0.10 m that can handle 160 W. The other system, option B (see Figure 6b), has a long line of 32 speakers of total length 3.2 m connected in parallel. Each speaker is 0.10 m in diameter and capable of handling 5 W.The long line of speakers can be treated as a single wide source.The layout of the oval and two possible public address systems are shown in Figures 6a and 6b.

0.10 m 3.2 m

single 160 W speaker line of 32 speakers handling 5 W each

Option A Option B

crowd crowd

Figure 6a Figure 6b

Robin must choose the system that will ensure that most of the people, dispersed all over the oval, will be able to hear.Which of the statements below gives the correct choice, and the best reason for the choice?A. System A, since diffraction effects produce a wide maximum.B. System A, since a single loudspeaker produces a better quality sound.C. System B, since it produces more audio power.D. System B, since diffraction effects produce a wide maximum.

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41 2011 PHYS EXAM 2N

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SECTION B – Detailed study 3 – continuedTURN OVER

Question 10Microphones are transducers that convert sound energy into electrical energy; loudspeakers convert electrical energy into sound energy. The method used to make such conversions depends on the type of microphone or loudspeaker used.

Which one of the following statements is correct?A. Crystal microphones rely on electromagnetic induction for their operation.B. Velocity microphones rely on the piezo-electric effect for their operation.C. Electret-condenser microphones rely on electromagnetic induction for their operation.D. Dynamic loudspeakers rely on electromagnetic forces for their operation.

Question 11A band is marching down a narrow street, as shown from above in Figure 7. Meredith is standing at position X in another street and can hear the music. However, the sound is not what Meredith expected.The sound of the bass drum and the low-frequency instruments is relatively loud, but the high-frequency instruments,

band

X

high building

high building

street

Figure 7

Which of the following statements best explains Meredith’s observation?A. Long wavelength sound diffracts more readily than shorter wavelength sound.B. High-frequency sound is diffracted around the corner of the street.C.D. Short wavelength waves are diffracted around the corner of the street.

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Question 12

angled front view side view

sheet of timber

timber

Figure 8

A.B.C.D.

END OF QUESTION AND ANSWER BOOK

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© VICTORIAN CURRICULUM AND ASSESSMENT AUTHORITY 2011

PHYSICSWritten examination 2

Tuesday 15 November 2011 Reading time: 11.45 am to 12.00 noon (15 minutes) Writing time: 12.00 noon to 1.30 pm (1 hour 30 minutes)

FORMULA SHEET

Directions to students

A question and answer book is provided with this formula sheet.

© VICTORIAN CURRICULUM AND ASSESSMENT AUTHORITY 2011

Students are NOT permitted to bring mobile phones and/or any other unauthorised electronic devices into the examination room.

Victorian Certi cate of Education 2011

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2011 PHYSICS EXAM 2 2

1 photoelectric effect E hf WKmax = −

2 photon energy E = hf

3 photon momentum p h=λ

4 de Broglie wavelength λ =hp

5 resistors in series RT = R1 + R2

6 resistors in parallel1 1 1

1 2R R RT= +

7 magnetic force F = I l B

8 electromagnetic induction emf :ε = −Nt

ΔΦΔ

flux: Φ = BA

9 transformer actionVV

NN

1

2

1

2

10 AC voltage and current V VRMS peak12

I IRMS peak12

11 voltage; power V = RI P = VI

12 transmission losses Vdrop = Iline Rline Ploss = I2line Rline

13 mass of the electron me = 9.1 × 10–31 kg

14 charge on the electron e = –1.6 × 10–19 C

15 Planck’s constanth = 6.63 × 10–34 J s

h = 4.14 × 10–15 eV s

16 speed of light c = 3.0 × 108 m s–1

17 Acceleration due to gravity at Earth’s surface g = 10 m s –2

Detailed study 3.1 – Synchrotron and applications

18 energy transformations for electrons in an electron gun (<100 keV)

12

2m v eV

19 radius of electron beam r = m v/eB

20 force on an electron F = evB

21 Bragg’s law n = 2dsin

22 E Vd

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3 2011 PHYSICS EXAM 2

Detailed study 3.2 – Photonics

23 band gap energy E hc=λ

24 Snell’s law n1 sin i = n2 sin r

Detailed study 3.3 – Sound

25 speed, frequency and wavelength v = f

26 intensity and levels

sound intensity level

(in dB) = 10 100

log II

⎝⎜

⎠⎟

where I0 = 1.0 10–12 W m–2

Pre xes/Units

p = pico = 10–12

n = nano = 10–9

= micro = 10–6

m = milli = 10–3

k = kilo = 103

M = mega = 106

G = giga = 109

t = tonne = 103 kg

END OF FORMULA SHEET