1acape2001unit2paper1

7/29/2019 1acape2001unit2paper1

1/18

FORM TP 21228TEST ODE 0247 4

MAY/JUNE 2OOILA R I B B E A N E X A M I N A T I O N S C O U N C I

ADVANCED PROFICIENCY EXAMINATIONPHYSICS

UNIT 02 - Paper0LI hour 45 minutes

READTHE FOLLO\VING INSTRUCTIONSCAREFULLY

l . T h i s p a p e r o n s i s t s f N I NE q u e s t i o n s .Cand ida t e s us t a t t em p tALL ques t ions .2. Candidates UST rvr i te n th isanswer ookletandal l work ing MUSTbeclear ly hou,n.

Copyright@2001CaribbeanxaminationsouncilAl l r ights eserved.002474|CAPE 001


2/18

- 2 -LIST OF PHYSICAL CONSTANTS

Speedof light in free spacePermeability of free spacePermittiviry of free spaceElementary chargeThe Planck constantUnified atomic massconstantRest massof electronRest massof protonAccelerationof free fallI AtmosphereAvogadro'snumber

cFtoEoehume

ntp

IAtmNrr

3 . 0 0 x 1 0 8 m s ' l4 n x 1 0 - 7 H m ' t8 . 8 5x l 0 - l 2 F m ' t1.60 10-re6 . 6 3 x 1 0 - 3 a J s1.66 t0-27 g9 . 1 1 l 0 - 3 r k g| .67x 10-27g9.81m s '2l . 0 0 x l O s N m - 26.02x 1023 ermole

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3/18

1 .

' - 3 -

(a ) Coulomb established he fundamental aw of electric force be tween two stationary,chargedparticles.StateTHREE propertiesof this electric force.

[3 marks](b) Write an equat ion o expresshe magnitude f the electr ic orce betrveen wo charges.

F igure I sho lvs hreepo in ts charges oca tedat the cornersQr = Qr = 5 PtC,Q: = -2PtCand = l0 cm.

I mark 1of a t r iangle vhere

Q , O 6 e r

Q t @

(c)

( i ) Locate on therespect ively.

Figure Idiagram he forcesF, and Ft act ing on Qr due to Q, and Q2ll mark l

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4/18

- 4 -

( ii) Calculatea value for F,.

( i i i ) Calculatea value or F".

( iv) Flence alculate he magnitudeof the resultant orceact ingon Qr.

[2 marks]

[1 mark ]

[2 marks]Total 10 marks

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5/18

2.- 5 -

(a ) A charged particl, g, moves anticlockwise n a magnetic field which acts at rightangles o the velocity of thecharge. (SeeFigure 2.)

XXXXX

Figure 2Indicateon the diagram he direct ionof the(i) velocityof thecharged arr ic le,

( i i ) magnetic orceact ingon the chargepart ic le, .[1 mark ][1 mark ]

Explain vhy hemagnet ic ielddoesnot affect hekinet icenergy f thecharged art ic le.

[4 marks]

XXXX

(b)

X XX XX X

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6/18

- 6 -

(c) A proton s moving n a circularorbit of radius7.5 cm in a uniforrnmagnetic ield ofmagnitude .4T directed erpendicularo thevelociryof theproton.Calculatehe(i ) orbital speed

[3 marks]( i i ) per iodof revolutionof the electron.

[1 mark ]Total l0 marks

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7/18

- 73. (a) Def ine'capacitance'

(b ) Figure 3 sholvsa parallelplate ai r capacitor vith a constantelectricbetween he plates. The areaof the plates s A and d is their distance[1 mark ]

f ield strength,E,apart.

( i )

( i )

Write a formulaplates, , and,d,

Figure 3for thecapaci tancef th iscapaci torn termsof thearea f thetheird is tance par t .

Henceshow that the-' tU = t%t- whereeo2

[ 1 mark ]energyper unit volume,U, o[ the capacitor s givenbyis thepermitt ivity of freespace.

[3 marks]

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8/18

- 8 -

(c) A parallel-plate apacitorhas areaA = 20.0 cm2 anda plateseparation = 4.5 mm.The electric ield strength, , is 3 x 106V m'1. Calculatehe(i ) capacitancen air

[2 marks](i ) energyper unit volume,U


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9/18

4. (a)

(b)

- 9

Figure shows ow thevalueof an alternatingurrent hanges ith time.

I /A

Figure 4Find he( i ) ampl i tude f thecur renr

( i ) per iod

( i i i ) frequency.

t /ms

I mark ]

I mark

For the waveform representedn Figure 4,alternating urrent, , varieswith time, t.

l l mark Iwriteanequation hich epresentsow he

[2 marks]

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10/18

- 1 0 _(c ) A diode s connected n serieswith a resistorof resistance, , to an a.c.supply asshorvnin Figure 5.

Figure 5(i ) Sketcha graph to shorvhow the current variesas t flows through he reiistor.

[2 marks]

To smoothen he rectified potentialdifferenceacross he resistor,a capacitor splaced n the circuit of Figure5. Indicateon Figure 5 whereyou would placethis capacitor. [l mark 1Show on the graphyo u sketched n part (c) (i) theeffecton thecurrentof placingthe capacitor n the circuit . [1 mark ]On thesketched raph,abel he egionwhere hecapacitors beingcharged.

[1 mark ]Total10marks

( i i )

( i i i )

( iv)

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11/18

- l l -

5. (a ) A transforrner s a device ha t usesmutual nduction o changea given a.c.voltage nt oa largeror smaller a.c.voltage. With the aid of a labelleddiagramexplain he principleof operation of an ideal transformer.

[5 marks](b) An ideal ransformer tepsup thevoltagesupplied o i t by a generator. he generatorst tppl ies currentof t5 Aat 500V. Thisvoltagessteppedp to l0 000V and ransmittedalong a transmission ableof total resistance 0 f l . On reaching he consumer hisvoltage s steppedback dorvn to 500 V.

Calculate he(i) current n the transmission able

[1 mark ]( i i ) polver ost n the transmissionable

[2 marks]

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12/18

6.

(i i)

(a)Figure 6

Draw a truth table or this network.

- L 2 -

Percentage ower lost in the transmissioncable if the voltage was not steppeduP.


Figure 6 showsa logic network.

[5 marks]

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13/18

- 1 3 -

Design a logic network using a combination of AND and NOR gates o give the sameoutput as n part (a) (i).

[3 marks]

(c ) Nameanddraw hesingle atewhich s equivalento thenetwork n (i ) and ii).

[2 marks]Total 1.0marks

o)

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14/18

7.

- 1 4 -

Figure 7 shows the energy level diagram which representsatomic hydrogen.

Ground state

the four lowest energy levels of

-1 .36 x 10-re-2.4 x l0-reJ

-5.44x l0-teJ

-21.16x 10- re

(a )Figure7

Why are heenergy alues f theseevelsnegative?

(b ) ( i )

( i i )

(c) ( i )

( i ) Indicateon the right side ofwhich the absorbingelectronthe energy evel diagramrises.

[2 marksJthe possible evel(s)' o

[1 mark ]

[2 marks]An incoming lect ron f k inet icenergy 0.0x t0- le J col l idesnelast ica l lyv i ththehydrogen lectron n its groundstate. ndicate, y means f vert icalarrorvson the efrsideof theenergy eveldiagram, ossible ransit ions f thehydrogenelect ron vhich anoccurasa resul t f th iscol l is ion. t2 marks lWhat becomes f the ncidentelectron?

l l mark lAn incoming hoton f wavelength .02x l0-7m coll ideswith asimilarhydrogenelectron n i ts groundstatealso. Calculate heenergyof this photon'

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15/18

- 1 5 -(iii) Whatbecomes f the ncident hoton?

I mark ](iv) Statewhat would be thecase n (cXi) if the photonhad a shorterwavelengrhof0.95 x 10-7m.

I mark ]Total 0 marks

8. (a ) Complete he following nuclear eactions.( i ) t H + ' H = o H . +l 1 2(ii) 'iiu* ln= 'lfr-o fle' *

(b) Using hegivenmasses elorvMasses:

;H = 3.315 10'27g ti iu = 390173 l0-r7 giH = 5.008 t0-27g 'r*fm= 245.565 10'27glH. = 6.647 10-27g lltr = 140.960 l0'r7 g] n = 1 . 6 7 3x 10 '27 g0( i ) Calculateheenergy eleasedn EACH of the eact ions ive n Par t a) .

[3 marks]

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[2 marks]

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16/18

(i )

- 1 6 -

Calculate he energy eleased er unit massof combiningnuclides or EACH ofthe reactionsgiven in Part (a).

( i ) Give ONE problemassociatedvith using eact ion a) (i) as[2 marks]

a source f energY.

[1 mark ]( i i ) Give ONE problemassociated ith using eact ion a) ( i i ) asa source f energy.

[1 mark ]( i i i ) How can the second eactionbe control led?

[1 mark ]Total l0 marks

(c)

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17/18

9.

- t 7(a) For radioactive decayA = LN.

Give rhe name of EACH term an d the corresponding .I . Unit in this relationship.

Term Name of Term S.I.Unit

( i) A( i ) I( i i i ) N

[3 marks]yet a s t r ic t mathemat ica l awcondit ionwhich ensures good

[1 mark( i ) Calculate henumberof atoms n tg of 2i*6Rn.

( i )b) Radioact iv i ty decaY s aN = No exp (-1"t)applies.thoughnot exactobedience

random processState he physicalto this law.

t lCalculate

mark li tsvalue(c) ( i ) A part icular adioact ive lementhashalf - l i feof 100years.

of ), .

[2 marks]

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18/18

- 1 8 -

(ii) After horvmanyyears vill it takeawholeyearor thiselemento emit hesamenumberof partici.t ut it does n onedaynorv?I year=365 daYs.


END OF TEST

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