Topic 4 Waves test 10_11_answers

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Advanced Level - AS

Unit 2: Physics at Work

T ic 3- Waves

Scientific calculator

Ruler

• Read each question carefully before you start to answer it.

• Keep an eye on the time.

• Try to answer every question.

• Always check your answers.

Instructions

• Use black ink or ball-point pen (blacklhlue).

• Fill in the boxes at the top of this page with your names and the date.

• Answer all questions (there are 22 questions and 1 bonus question).

• Answer the questions in the spaces provided - there may be more space than you need.

• In calculations you should show all the steps in your working, giving your answer at each stage.

Information

• The total mark for this paper is 81.

• The marks for each question are shown in brackets - use this as a guide as to how much time to spend

on each question.

• Questions labelled with an asterisk (*) before the number of the question, are ones where the quality

of your written communication will be assessed - you should take particular care with spelling,

punctuation and grammar, as well as the clarity of expression, on these questions.

• The question with an asterisk (*) after the number of the question is a challenge question. Itis more

searching and deeper and it is intended to challenge your knowledge and understanding of physics.

I t is a honus question and you should attempt it only if you have time.

• The list or data, formulae and relationships is provided separately.

• You may use a scientific calculator

Advice

Turn over



SECTION A

Answer ALL questions.

For questions 1-10, inSection A, select one answer from A to D and put a cross in the box!Zl.

Ifyou change your mind, put a line through the box o S and then

mark your new answer with a cross ! Z I .

1 Ultrasound pulses are used to detect shoals of fish in the sea. A shoal of fish is at a

depth of300 m and the speed of ultrasound in water is 1500 m S-I. The time interval

between transmitting and receiving the pulse will be

o

J g j

o

o

A 0.20s

B 0.40 s

C 2.5 s

D 5.0 s

,--------<._------, (_,_T,otalor Question 1=1mark) _

2 Which line of the table correctly summarises the changes in wave characteristics when

moving from ultraviolet to infrared in the visible spectrum?

I

gI

~ I 0 A

~II

~

I0 B

Ii r'! I 0 Cl

II

II

II J 8 l D

} I

I

Ing

iI

IWavelength ~peed ina vacuum

II Decreases I Increases I

I, Increases ! Decreases II --1

I Decreases I Remains the same iI I

I II Increases I Remains the same

(Total for Question 2 = 1 mark)

../3



distance

3 The graph shows the displacement of molecules against their distance from a wave

source. Which of the points A to D, marked on the graph, has a phase difference of 2700

with point X?

displacement

X

~ A

o B

o C

o D


. I f A source of light emits a train of waves lasting 0.04 I l S . The light has a wavelength of 600

D i n and the speed of light is 3.0 x 108m S-l~How many complete waves 'are' sent out? .

[8 1 A 2.0 x 107g@

j

0 B 4.5 107

Ix

0 1010I C 2.0 x

I 0 D 4.5 X 1013

I1

W

~




--------~--------------------------.----

r---. "I ~~:;l~I 5 Which of the following statements about standing waves is true? I

I

I!

o A particles between adjacent nodes all have the same amplitude.

o B particles undergo no disturbance at an antinode.

1 8 I C particles immediately either side of a node are moving in opposite directions.

o D particles between adjacent nodes are out of phase with each other.

(Total 1 mark)

6 The diagram shows a wave on a rope. The wave is travelling from left to right.

. . .

M

L

At the instant shown, point L is at a maximum displacement and point M has zero

displacement. Which row in the table correctly describes the motion of points Land M

during the next half cycle of the wave?

. -/s



;-

-J-- - - - - - - - - - - - - ' - - - - - - - - - - - - - - - - - - - - - - - - - - - = - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - ~ - - - -!Leave 1

:, blank

IElectromagnetic waves are produced by oscillating charges. Sound waves are produced

by oscillating tuning forks. How are these waves similar?

o A they are both longitudinal waves.

o B they are both transverse waves.

J R i C they both have the same frequency as their respective sources.'

o D they both require a medium to travel through.

(Total 1 mark)

g Two points on a progressive wave differ in phase by 7 7 : radian. The distance between4

them is 0.50 m. The frequency of the oscillations is 10 Hz. The maximum speed of the

wave IS

0 A 2.50m S-1

0 B 5.00 m S-1

0 C 12.5 m S-1

~ D 40.0ms-1

(Total 1 mark)

,. '/b



-6-

Use the diagram below for questions 9 and 10.

The diagram shows a ray of light passing through a rectangular glass block.

~9 Which row in the table below correctly identifies the changes to the properties of the

light as it enters the glass block?

Frequency Velocity Wavelength I

~A

no change decreasesdecreases

E] B no change increases increases

0 C Increases increases no change

E] D Increases no change decreases


1 1 0 The refractive index of the glass is

I : : : : : :I ~ C 1.6

i C J D 1.9I

1_=._'""""",.""'.""""'''''''''''''_''''''''',._...ea_ .. t i . _ . ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' _ , ~ : ~ : ~ , . ~ : ~ Q , " " ' u " . . e _ s t. .o " " ' n _ 1 0 " " " " "" ~. .1 " " " m _ a " " r k _ ) _ . , _ . = . " _ _ = .

TOTAL FOR SECTION A = 10 MARKS



-1'-,-------------.--------------.----.------ ..----r--~

(b) Sound travels at 330 m s' in air. Calculate the period of the wave.

· · · . T " " · t · · · , · · · · M . . . . .[ ? f . d · · · · ~ · · f : : : · · · · f _ · · · · · · · · · · ··········~·3·······

.~.T=. . . I . . ; ; o .. _ d _ . . , _ ~.: .Q.~c.. ; ; , . .L.Q..X.(~ £ . e o. " . . ( I i . )

(~ ) u- s so J o < . f - r " Period ~ ..~ ..:.g.kr.~}(3) (

I ! ) A loudspeaker emits a sound wave of wavelength 0.66 m. The diagram shows how

displacement varies with distance from the loudspeaker at one instant of time.

displacement

distance from

source

(a) Which letter indicates the wavelength of the sound wave?

.... .(1)

(Total 4 marks)

: Leave I. blank I

/ ~ State two conditions necessary for total internal reflection to occur at an interface between

air and water.

Condition 1 J..~ 1~f. I J J . ~ . f . . f 4 .. trE~... ( . : ! ! J $ .:.~ ...Ik ...t! tf..l~i .:.. . ! . ; ! . ' h . .I 4 . . ~ ( _ i c : . ( : f . ! . ~. .# .t::.b~'f .:6 ...5 : . : . . / ~ . v r . ('4~ ~

Condition 2 ..... T . 4 . . ~~(e ......f ....... . ~ . : . . ~ . ' . 4 . ~ . ~ . c . . ~...~.~...~ ¥ .~.f.~ ..

. . . . . t 4 . . . ~ . . ' f . i . ~ ~ . f ! ' r : ::!.t.~~... " 4 . . . . ~ . r . I : , q ~ ~ . (.qy..k., .

(Total 2 marks)

-,.·/8



I~ Frequencies below the audible range for humans are called infrasound. Infrasound is

produced by earthquakes.

(a) Describe how sound waves travel through air.

(3)

k M I 4 4 " Q : e : J . .~ f u ~ · t . . . . ~ t < . . f /J?t2c.~ " ..~d~;w4't

...~k-4~~e..~~.{4~~tkI1C!6(::f?:f:~{~~(·«~fe! ..

f?~~ti.I!~-/t>~ 4< :~rt!~;rrl)l!y .~Q ~.:f ~ ~.~.~.(t4~'tf4

~1!f{!a?i~~~91}!l?i;! '!k~tj._ / e n

.......~. htt~64r 5 tJa. lHb/~·&~-6~~ ~4~eI . . P' t{t./f

like (i.e. ~ _/ec nJ).. . ..(c) An infrasound wave has a wavelength of 1500 m and a frequency of2.0 Hz.

Calculate the speed of infrasound in the ground.

(2)

............../.~/d = P . ~ ~ . .~.·.Q~ ..X/£Q()~ ~ J~.or . ..I k/~~< J ..1!1 .

__30(J 0 ),(.r - I......................................... " " .

Speed = ~() o 9 . .~[~f

(d) In 2004, a huge earthquake produced a very large tidal wave which swept across

the Indian Ocean towards Sri Lanka. Many large animals in Sri Lanka moved away

from the coast before the tidal wave hit.

Suggest a reason for the animals behaving in this way.

(2)

.....1A /IIJ.tt/{ ~ ..6 : c t < " ' l j f " . ( 4 l < " ' J (t~ ( j f e ' l " " ",.<,·~ ..- t 4 a L t . .

. . . . . . " " ' . . , , d #;..fI:J.. - I 4 e p.~ .L A fo rdO ."'.l, gYa:ue~fi '&-

/ 1 . . < " ~ ~d4f:. f I . ! . d . : . ~ fr~~~e..!.: ..jy ~ ~~t.~.~.6~/ (!,·f

Ift~,( e . J l ~~~'!!.. ...o i~ !c.....~.!~r~~t;'t4tf~~~4./~t:r.(Total fo~Question 14 = 8marks)



~I~i

11I : : / : : A q ~ . . ~ j.t1t:t-::: ' --.:,/_ H H H . 9 rL r · t .tH H = H { P P H H _ H ' /?~H r ~ ~ H

I . . . J,' l~ A! Y . .. . . . " , P ~ 5 "u

I . . . . - 5 > C=:1'-I" ('fO·8~ .

I Critical angle =. . f(~

I (C ) The refractive index ofthis glass for red light is less than for blue light. Add to the

! diagram to complete the path of the red light through the prism. Label this path Y . ~ .

I · . c 9 > d " £ 4 , , / 1 . 6 . . . ~/d. f<pk ~t. s: f::i:~ ':T~t.~(~ . , ; , t , . .

I_ , , - - = C + f - I I I . . . / f I v - w , t ! . > : : : _ _ C : " ' 1 ; ~ ~ . . - - - · - = ~ ~ v ~ 1 = ' _ ' t 1 = - _ : . . ( . ; _ : : k : . _ a _ ' t k _ ~ _ ~ 9 - _ ( . } _ T _ o _ t a _ l _ f o _ r _ Q ~ u _ e _ s _ t i _ o n _ 1 9 _ = _ 7 _ mr _ ~ , _ ; _ ) L - - : - -

I ctL.~r~~~~. e - J . L t J G k ~ ~ a - F":/~ ('L~ ~

I~,.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~§.~.~.~~~

(2)

/~TWO parallel rays oflight, one blue, one red, are travelling in air and are incident on one

side of a glass prism. The blue light passes into the prism and meets the second face at

the critical angle as shown in the diagram.

(a) Add to the diagram the path of the blue light after it meets the second face. Label

this path X.

(b) (i) The speed of blue light in the glass prism is 1.96 x 108 m s'.

Calculate the refractive index of this glass for blue light.

(2)

/S3

Refractive index = I·§".3

(ii) Calculate the critical angle for blue light in this glass prism.



-/0-

A satellite orbiting the Earth obtains electrical energy for its instruments from arrays of

solar cells. These arrays are perpendicular to the Sun's rays. At this distance from the

Sun, the intensity of solar radiation is 1400 W m-2.

Solar

panels

(2)

Leave

blank

Sun's rays

(a) The total area of the arrays facing the Sun is 27 nr', and they are 19% efficient. Show

that the electrical power output is approximately 7 kW.

. . .· · ! . .· 7 : " . f · ·· · · ·· ~ · · P .= :c .. .+ . . , . A .

. . . . . . .~ . .~ ~ ~ ; ; ; .? . . f . l " · · · ~ · · · 7 · ( ; . · : · · A ) . .

. : ~ ; ; ; J ' ! . / ." . .~(t.'1..~.~i1.~~.\.!"ft,.= = :t.(g9 W ~ f-~V. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . . 1·~ ;6., .

(b) (i) Suppose that the same satellite were placed in orbit around Mars, with its arrays

still perpendicular to the Sun's rays. Calculate the new electrical power output.

Treat the Sun as a point source of radiation.

Distance of Earth from the Sun = 1.5 x 101lm

Distance of Mars from the Sun =2.3 X io" m

· · · · · : r . · · : : : · · · · k . · . . , , ·a . ; 1 : ' · . . . ; ) · . .· ; : t . · · ! ' X . . ·. .f > : : · · · · · ~ · · I 1 1 · · · · J : ; , ~ , , · ·~ ·

...?...T.'f..?. ~.~..~}: ~ ...f.~11f.~.1..!e . . .t t - J ~ . · .. . . .

. . . . . . . . . . . . ~ ..9 . . : J . r . .X / r .~ . t : J. ." t . . " " ' : ~ .: ~ : e ·Sx .

............................................................C ! .. ~ - . s . - .. ~ . . I-' •••••••••••••••••••••••• '. ~~ •••

_ 3eSSLttPower output - .

(3)

.•. /11



-/1-

(ii) Apart from treating the Sun as a point source, what other assumption have you

made in your calculation?

. . . . . . I . V p . t~_(i~·f!~~·.· ·· ·.~ ~~/. .~.~~ b~I..~f.:~

.....?!q t..% :I ...~· :.?:....(t.... f t . ~ t . . _ { ! . . q _ . '.

~.I1.f!!

?...~ ..~.~:,.Explain why this assumption is justified .

. . . ? 1 P , , { f . . ~ . R _ 4 . a .. .~ ~ ~ ~ ~ ~#. ..t 4 , . p . t . " " ' ! , ~t"

. . . . . t : : I J ! . : f . . ~ 1 ' Y : ~.~t.r . .. · ~ · 6 J v . · · · · ~ C.·G~ ..~ ..Q.! · · · · · ( i i

(Total 7 marks)

Leave iblank



-12-

( )

f 1 L 4 ~ - l r t c r i l £ D : / i f 0 : i . . . .li~a-f'4' ..f: ~4t:''1IH,~ ••{ l < : f r - e 4 . 1 4 ' " " " , " " , e . . . .IL

../~~.~. ~ct6~ ./; ...~.tt~tt~!!'1o/!!(:-Ct~.~...A . ! t ~ ~ " c 7 > ' . .~it~...J ~f;4 f~ ........tc lf lr!~~(~ . .: ; ,M ; - ! 4 e f . f .{ ! 4 .~ ..''¢'!lJ/kC~~~~!!!#· i~

I~If you look into a fish pond on a bright sunny day, you sometimes cannot see the fish

because of the glare of light reflected off the surface. When the sunlight is reflected off

the surface of the water it is partially plane-polarised.

(a) State the difference between plane-polarised and unpolarised light.

(b) Explain how Polaroid sunglasses can enable the fish to be seen .

......-rk!Ii~rri.l ~~.~ ~ 4!Y~ i?.b. ~ ~ ~ .,If~~'!~~

. . . . . . . . .t < ~ c . h . ! . ~ /t.~ # " " ~ c : l . 4 : . f y ~r/~<:e. ..(.~·c( ~y.~ 1 fljit!":~ .

···lA~<kJ,~fifL .. ,:I1~)at I d . < J < r i J ' " , : e J '~11"YTil-J'{~~

........f. ~ f4 ¥&?fo£ ~ ~~.~~.~..I / t ' ~J<~ ..~T . 4 ( , ~ .

....~ t . 4 : 't4 4~~J.~ ~.~.~,~ ( ! . 1~~.·4$'(f~.~~~ .C4~~

if~I!!~§Jzlh zt(f'.c~~lg"'fl'fei., . .

(c) State why sound waves cannot be polarised.

0)

ktc..R. til tJ.C>e.r ,a,.., I~4J../ ",4_ " tW < ! f . 7t~ 4 e I;u,.ad'"':!

are 0~ ! ! : : ! t : f t ' h e c . 6 · / ) ~ 4 1 ( ; t J . - f d flk ~ l ie! ~(!.r ~ J r e < = 6~I : : i / ;t r-._.L. & . / l . ,_ . / ~ ,,{.J a..~ c C 4 4 . i u : z . ~ t1.lI'r te..l)•..

{/)Il.. Ur. 01Vl,... 7,(Yo 4.f~V;P;> (TOtalfor Question 12 = 5 marks)

... /3



-13-

BLANI{PAGE

rJ

TURN OVER FOR QUESTION 17

.. .1 1 4



*j~Ready-meaIS that can be heated in a microwave oven always have the instruction that

the food should be stirred properly before eating. This is because 'hot and cold spots'

within the oven lead to uneven heating of the food.

A microwave source within the oven emits coherent waves in all directions. The waves

are reflected off the walls and so the microwaves arrive at one spot by several different

routes. The waves interfere with each other and set up standing waves.

(a) Explain what is meant by the following words:

Coherent ...~ .....~ .. u..~ ~~«~ .. a0r?:f:~. f 4 4 - ~ . .

t : e 4 i c . r . . / 4 :r (i.g •..~ a . . . . . .1~/~'Yl~ .... t.Iliff... W 4 !

Standing wave ... j;'~ ve.~(:(J,,~LIc1fr.'i:!f.cfe.d"iJ~~0

{~~~~Lt:a~~1!:~~~:s}h~;~«"

Microwave

source

The wavelength of the microwaves is 12 em.

Explain why S is a 'cold spot'. Assume that no other microwaves arrive at that point.

• • • ' 1 . 5

c :



(c) Uneven heating can be reduced by placing the food on a rotating turntable. Explain

why this will reduce the uneven heating of the food .

.# c . .~.....t.tAf.,~ . J : 1 . ' 1 ~ ~ ~ < 4 . . " 'd : . ~ . . .·t4-M A1~ .....

........J{ qr(~ ~~.~ 4rr. ~ tf)~ ~ ~·4.!J t t . . ~ f l t t L (

.t~ !f -Ik H: '".I7<C4 iUe <t . ./'// .. ,' (0.;-<". oIl<" f .:1.........~..A,fl i4 1 L . < ~ l ! : JJf'-tk.,~wJ(l b € . . 1 h .1 o 'e ,e u .e " , . . .

_. .._.. ,, ._~"_._ ~ JT~!!!.!.orQU!~~~.~arkst~~ _



*I~The diagram shows an experiment with sound waves.

metal

plateoscilloscope

signal

generator

microphone

loudspeaker

8

A loudspeaker is connected to a signal generator. A microphone is connected to anoscilloscope. Sound waves reach the microphone directly from the loudspeaker and

after reflection from the metal plate.

As the microphone is moved towards the loudspeaker, the amplitude of the wave

displayed on the oscilloscope varies through a series of maxima and minima.

(a) Explain why the amplitude of the sound varies in this way.

(4)

,[4pg,~~'GtI5j ,4l~jAik~~atA.J. . tJ~~t¥&,@'

....f.~ ~ ~~(~ ..~f~ f2 .~.~~'? ~.~ ~ ~ £{~''!J ~~.~~. . . . . . I ! A ) c ; ~ ~ ( q , " t i . t o 4 ) f o & . · · · .t4 ~~ ....~ ..#<~~ ... ..4 ~ . a T / ' c {

( ) c c £ i . t 1 u 1 ( ! , ~ I 4 I ~ ~ · Att~'<~·~ P j d , 9 ; { / I t ( " ' , . ( 4 , r 4 d . £ - " ' : : ~ ~

.... .....~ ...~tr~ ...4....1f:;f4.~~/.~~( ...~~ll .tCl . .. ..t!t~ .... ...~..(...

1 · · , i ~ ~ C 4 ~ e ~ : : ~ : ~ i ; : : ~ : o £ o L~n twOadj~~~ntmaxUnaism

~ O .O SOm .r~ Calculate the wavelength of the sound wave.

Wavelength =...a.rs;

,. .. ........ .



/1'

=- r--

(ii) The frequency of the sound wave is 3.3 kHz.

Calculate the speed of sound in air.

1 ! .~!.d .....~~?)(.(9~/(~~(}.·I~ ....330 Ju./-I

Speed of sound in air =3301£,../-(

(c) The microphone is placed close to the loudspeaker and gradually moved towards

the metal plate. The graph shows how the amplitude of the wave displayed on the

oscilloscope varies with the position of the microphone.

Amplitude

20 2510 1 5

Distance between loudspeaker

and microphone / em

(i) Explain why the minima never have a zero value.

7 4 4 4ziA.lhc.~ I ! £ u - - e r - J . t t f J - e . d ~ 'In{.~€ jf2(&l~ ..J . , ~ l;."i.'!.t.

····?~/44......tI(_~ .~~II~ .~~/.i~~~.~e;6 ~ ...('!f.~J~'f,·'J), ...: 4 . . . .k~ ...i f t .& . :

.~~~~i<:~;urJ<:tlf1}!p1,t!f.rY.4... a > , < t , ( ~ . ! J . .a t . . 'W . . .~(ii) As the microplione is moved towards the metal plate, the amplitudes at the

minima gradually decrease. Suggest why this happens.

(4)

. . . . . . : r . . . . . . . . . /)1/.qf!4~ (IJ.~ ...~~!4 .....k ....11 fl'f4 .e1!~ '!·~.. ..·I~t4 ...

.......~ r.L .I{~ ..!f ~ @I.lf"~~ 41 .~~ ..~~r.e.~~ ~J t4

...4./o/?·f.tt.~ Y ~ 4'!-:WJ.tt ~.~ . r : I i ~ : 6 c ~ .

(Total for Question 20 = 12marks)

· . ·/(8



'-·---------------------·-----------r-I~

: . ? ) i blank I* /J About 100 years ago X-rays were first used in hospitals. At that time, many of the doctors I

who worked with X-rays died young. Explain why this occurred and the implications it

has for the use of new technology today .

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. . A r r t . f..~/;,~... .~ /1g<.~~ ... . ~ ~ t t f : . ~.Q : ~ r : . . ( l J . g . .£ 4 f . ~ f . 4 . l . ' 1 f ) .tf:~J

...~ ¢:kf~.l ..···.{~b.t::K.,(~ # ' 5 . t > - . . . .h.... : : - . .r.~'fI...~~!. :...! : I . ~ .

...y . . .k Q ~ . .! . ; ( f . 1 . . .r lf J : ! . !t J . . . . .~ J . . ~ . . . . .~ . « . : . . . . . . 4 . /?!./?~'<~.~.w... l . . . 4 . t !

..~f.(J,(h.~ .... . . .-(i..4t../J.~~~~t~#.~. . . . .~5r. ~~ ....:!~/'!:.~~.....

...~~r..v..4_.(.qtf~£~.·.7J.~f.&.~~tlJ!.~~p..1~~.t!..A ~ ..~ ...~ ..~.4.~; t i l Y l R hutr- ~ d l ! ( J ' W e ~ fodllll~ C o ~ ~ a , P , ( T ~ 4 marks)

-l~-

:;.~ The following apparatus is set up. When the frequency of the VIbrator is 60Hz, the

. standing wave shown in the diagram is produced.

vibration

generator

(a) What is the wavelength of this standing wave?

3 . c _ . . .= ' 0 S~ :;) ~ :::.J.k i · . L c . , ~ (.Ot... Wavelength = ....l:.9.~...(1)

(b) The frequency of the vibrator is altered until the standing wave has two more nodes.

Calculate the new frequency.

: : ( 0 < . :t (()= ~ ~ 1 r " J = ( . Q ~

..s:d r = - ( . .11-.. ::;, _ I ( = - ~r"" -:::o- 6'""

~ / ~

~j/ A: o. ('" = - 6 - - a ( ( t:X t- 0..... ~f - = - ~ ~ ~ . r ( ' t : J ~ = = / ' 1 r J ! f - t :

_ ((}(J{~Frequency - ..

(2)

(Total 3 marks)

. ,.. 'If '



. 1 ) The siren of an ambulance emits a sound of a certain frequency. As the ambulance

passes a pedestrian, the frequency of the sound he hears changes.

(a) What name is given to this effect?

.,

(b) Describe and explain how the movement of the ambulance causes the frequency of

the sound he hears to change.

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n • • • • • • • • ~ ~ • . • !l!.t:i'~l..T b . ! t 4!.<~L<..~ tte.~¢.'!.~,,~..t!.'!!~.~~~<~~. .~CJ/

I · · ·~sl!~~~tte~E~~~~~::~~~eI

(2)

I....:z I ..I4 .~ .q :'!fJ .4 .(~~(,(~ ..~lYi'yfo&·t4 . 4 . < ; ~ e . « ! " " ' J ~ . d! . . ttlt..' {(1l4 .~t< -·~~.~~~!~i4 ..dl.!;'If4P.?~~~~~£~~~~!-flI J...

1 •• "f4l~··/~~:/~4.···q/t(·1.t~~<···4iJJ~c:=4ttf{fsf~ ../~.... ....

~ 5 ~ . f ! 4 . 5 Y ~ · · fitz ··~~~~fet:~9?···f~~ . .

I (Total for Question 14 = 6 marks)

.. .;. 0



[~'e4~ ..ful llt. .j?c«cf,J,hf. ! . .a / . c ( a~c(0)J26"'f1.~k<"4H......... 1 f ) ·.(_f i("" 0 {i/It,. z4 · ~/~~.~.e·.(~ ~<~ ..~ .

........ ..r1~ . .~r~ ~ ~ e l : ~ 4 a . ~ i 4 : : #.~fl...:rt~~~.4:4 t : t 0.t{&:4:t.

· . · · f 4 ~ r e 4 6 ( 1 J t ! 4 , ' p . ZX~[ I 4 ~ 0.:~ ~~ ~~~.~.~ ~~ ~~ ..

... ~ It'.~ ~kr:~ ...~ f? ! f - ) . .~...~,· .It/q'<'r.I~ ~~!.~'Yt~f1ix/..

... ~~.~i(i.~ /4.~/~.~ ..~ t. !I·{( . .? ~ ~ . C A r . ~~~i.'!J ~ ~ .· · · · · · · · t ~ f 4 . · · · · 4 / ~ 4 . 4~&.~tI:~~ ~ t~'f!.~ .

. ... ./ l f4 I / / I . 4 + , g A ( g = : J t ..«~i(lC~It~.ft46J·<.:I'{-)

..........[r ~~1 < J ~ ~ ~~rr.4 ! t.:{f.~~te;( r . ' 4 . f . < o / . e ~I!, ..~o/~~.1:(.u.e

...~4/?~rp~'tfi·;n., ~Jtf.o.~(~( .f# ri4 ~ ·!Y ...~....~4ff~~/.f'j(rt .

.........~..~....e.~1j.A . .. . . . . .t-!. ':t~6w ,...(;(~r()~'.6.'.~.(~ ...e . . ~ . .~. . ~.~.o;.'~~~

tJl'/R cRco., . p'''( : " , ' ! ; t «k~1t:tir;r Question 14=5 marks)

*~When oil floats on water, coloured interference patterns are often seen. The

interference patterns are fanned because of the thin film of oil. A thin film of oil can

also produce interference patterns with monochromatic light.

The diagram shows light from a monochromatic source, incident on a film of oil.

Explain why interference patterns may be seen.

water



- 21-

BLANI(PAGE

TURN OVER FOR QUESTION 23*

.. .1 22



-22-

E

Figure I

Figure f shows the cross-section of a glass prism) refractive index n, with the angles indicated

showing a light ray passing through it. OS is perpendicular to EF.

(i) Express angle BOC in terms oft).

(ii) Determine the angle < p in terms of e .(iii) For what value of e is e = 'P ? What condition does this impose on n if total

internal reflection occurs at O?

(Iv) What is the angle between the incident and emergent rays when e = 'P ?

[ 1 O J

-1 "C i ; E80- {o-& .

::: (SO" - -'-e

" " "io c..

. . .123



-23-

- r A t (11)6·c&.1. atz 9/e,

bt..d f ! t . J o e ' - .<...../ ,

.r/u c - It - I .L:- J -

~~it, 1 ' 0 < 1 c : : t n

~ V t > I

.I/e, c«: c 9 ),

" r /·€. ,_>

JI ~ ( - 1 - $ " < 1 -1D9~ f4 > /.[-,1

;(= 130· -(0<+.1)

: : : '10 '"

(Total for Question 23* = 10 marks)

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