Cambridge International Examinations Cambridge International Advanced Subsidiary and Advanced Level

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1 ambridge Inernaional Examinaions ambridge Inernaional dvanced Subsidiary and dvanced Level * * HYSIS 972/13 aper 1 Muliple hoice Ocober/November 217 ddiional Maerials: RE THESE INSTRUTIONS FIRST Muliple hoice nswer Shee Sof clean eraser Sof pencil (ype or H is recommended) 1 hour 15 minues Wrie in sof pencil. o no use saples, paper clips, glue or correcion fluid. Wrie your name, enre number and candidae number on he nswer Shee in he spaces provided unless his has been done for you. O NOT WRITE IN NY ROES. There are fory quesions on his paper. nswer all quesions. For each quesion here are four possible answers,, and. hoose he one you consider correc and record your choice in sof pencil on he separae nswer Shee. Read he insrucions on he nswer Shee very carefully. Each correc answer will score one mark. mark will no be deduced for a wrong answer. ny working should be done in his bookle. Elecronic calculaors may be used. This documen consiss of 19 prined pages and 1 blank page. I17 11_972_13/3R ULES 217 [Turn over

2 2 aa speed of ligh in free space c = m s 1 permeabiliy of free space µ = 4π 1 7 H m 1 permiiviy of free space ε = F m 1 1 ( = m F 1 ) 4πε elemenary charge he lanck consan unified aomic mass uni res mass of elecron res mass of proon e = h = J s 1 u = kg m e = kg m p = kg molar gas consan R = 8.31 J K 1 mol 1 he vogadro consan N = mol 1 he olzmann consan k = J K 1 graviaional consan G = N m 2 kg 2 acceleraion of free fall g = 9.81 m s 2 ULES /13/O/N/17

3 3 Formulae uniformly acceleraed moion s = u + 1 a 2 2 v 2 = u 2 + 2as work done on/by a gas W = p V graviaional poenial φ = Gm r hydrosaic pressure p = ρ gh pressure of an ideal gas p = 1 Nm <c 2 > 3 V simple harmonic moion velociy of paricle in s.h.m. a = ω 2 x v = v cos ω 2 2 x v = ± ω ( x ) oppler effec f = o elecric poenial V = fsv v ± v s Q 4πε r capaciors in series 1 / = 1 / / capaciors in parallel = energy of charged capacior elecric curren 1 W = QV 2 I = nvq resisors in series R = R 1 + R resisors in parallel 1 / R = 1 / R / R Hall volage alernaing curren/volage I V H = nq x = x sin ω radioacive decay x = x exp( λ) decay consan λ = ULES /13/O/N/17 [Turn over

4 1 How many cubic nanomeres, nm 3, are in a cubic micromere, µm 3? The maximum heoreical power of a wind urbine is given by he equaion = kρv n where ρ is he densiy of air, is he area swep by he urbine blades, v is he speed of he air and k is a consan wih no unis. Wha is he value of n? Wha is he horizonal componen of he force shown? 2 N 53 horizonal 12 N 16 N 2 N 27 N 4 school has a piece of aluminium ha i uses for radioaciviy experimens. Is hickness is marked as 3.2 mm. suden decides o check his value. He has vernier calipers which give measuremens o.1 mm and a micromeer which gives measuremens o.1 mm. Which saemen mus be correc? The micromeer gives a more accurae measuremen. The micromeer gives a more precise measuremen. The vernier calipers give a more accurae measuremen. The vernier calipers give a more precise measuremen. ULES /13/O/N/17

5 5 5 Four possible sources of error in a series of measuremens are lised. 1 an analogue meer whose scale is read from differen angles 2 a meer which always measures 5% oo high 3 a meer wih a needle ha is no fricionless, so he needle someimes sicks slighly 4 a meer wih a zero error Which errors are random and which are sysemaic? random error sysemaic error 1 and 2 3 and 4 1 and 3 2 and 4 2 and 4 1 and 3 3 and 4 1 and 2 6 fooball falls from he op of a all building. Which graph bes represens he way in which he disance x fallen varies wih ime? x x x x 7 Two idenical cars and Q are ravelling along a sraigh road. ar Q is ravelling a wice he speed of car. The brakes are applied o boh cars, producing he same consan deceleraion. Which graph shows how he velociy v of each car varies wih ime? v v v v Q Q Q Q ULES /13/O/N/17 [Turn over

6 8 man sands in a lif ha is acceleraing verically downwards, as shown. 6 lif acceleraion Which saemen describes he force exered by he man on he floor? I is equal o he weigh of he man. I is greaer han he force exered by he floor on he man. I is less han he force exered by he floor on he man. I is less han he weigh of he man. 9 snooker ball of mass 2 g his he cushion of a snooker able a righ-angles wih a speed of 14. m s 1. The ball rebounds wih half of is iniial speed. The ball is in conac wih he cushion for.6 s. ball of mass 2 g velociy 14. m s 1 cushion velociy 7. m s 1 before afer Wha is he average force exered on he ball by he cushion? 2.3 N 7. N 23 N 7 N 1 Two railway rucks of masses m and 3m move owards each oher in opposie direcions wih speeds 2v and v respecively. These rucks collide and sick ogeher. Wha is he speed of he rucks afer he collision? v 4 v 2 v 5v 4 ULES /13/O/N/17

7 11 sone is projeced horizonally in a vacuum and moves along he pah shown. 7 pah of sone X H V T X is a poin on his pah. XV and XH are verical and horizonal lines respecively hrough X. XT is he angen o he pah a X. long which direcions do forces ac on he sone a X? XV and XH XV only XH only XT only 12 Two forces, each of magniude F, ac along he edges of a recangular meal plae, as shown. a F F b The plae has lengh a and widh b. Wha is he orque abou poin? Fa Fb 2Fa 2Fb ULES /13/O/N/17 [Turn over

8 8 13 solid sphere falls a consan (erminal) velociy in a liquid. The hree forces acing on he sphere are shown in he diagram. no o scale drag uphrus U How are he hree forces relaed? weigh W W + = U W > U + W U = W < + U 14 hin horizonal plae of area.36 m 2 is beneah he surface of a liquid of densiy 93 kg m 3. The force on one side of he plae due o he pressure of he liquid is 29 N. Wha is he deph of he plae beneah he surface of he liquid?.88 m 1.1 m 1.8 m 8.7 m 15 ball is hrown verically upwards. ir resisance is negligible. Which saemen is correc? y he principle of conservaion of energy, he oal energy of he ball is consan hroughou is moion. y he principle of conservaion of momenum, he momenum of he ball is consan hroughou is moion. The kineic energy of he ball is greaes a he greaes heigh aained. The poenial energy of he ball increases a a consan rae during is ascen. ULES /13/O/N/17

9 9 16 car of oal mass 156 kg is ravelling wih a consan speed of 32 m s 1. The driving force provided by he car is 68 N. The kineic energy of he car is 8 kj and is momenum is 5 N s. Which wo iems of daa could be used o calculae he useful power oupu of he car? driving force and momenum kineic energy and mass mass and momenum speed and driving force 17 horizonal cylinder of cross-secional area is fied wih a fricionless pison and conains air a pressure. I is immersed in ho waer and he lengh of he air column increases from x o y. The pressure is consan. waer waer air a pressure air a pressure x pison y pison Which equaion represens he work done by he rapped air during his process? y y (y x) (y x) 18 rolley rolls along a horizonal surface and hen ravels up a slope before reaching a second horizonal surface. The slope is of lengh L. The rolley has mass M. The slope is a an angle α o he horizonal surface. The second horizonal surface is a heigh h above he firs surface. M α L h ssume negligible fricional forces. The acceleraion of free fall is known. In order o deermine he minimum iniial velociy of he rolley for i o reach he op of he slope, which addiional values are needed? h and M M, L and h α, L, M h only ULES /13/O/N/17 [Turn over

10 19 The diagram shows an arrangemen used o find he oupu power of an elecric moor. 1 The wheel aached o he moor s axle has a circumference of.5 m and he bel which passes over i is saionary when he weighs have he values shown. moor wheel bel 2 N 5 N When he wheel is making 2 revoluions per second, wha is he oupu power of he moor? 3 W 5 W 6 W 7 W 2 sample of meal is subjeced o a force which increases o a maximum value and hen decreases back o zero. force-exension graph for he sample is shown. force Y X exension When he sample conracs, i follows he same force-exension curve as when i was being sreched. Wha is he behaviour of he meal beween X and Y? boh elasic and plasic no elasic and no plasic plasic bu no elasic elasic bu no plasic ULES /13/O/N/17

11 11 21 load is hung from he end of a meal wire. The load is increased and he wire sreches elasically. The able shows he lengh of he wire for differen loads. load / kn lengh / mm When he load is 4. kn, wha is he srain energy sored in he wire? 16 J 32 J 1. kj 2. kj 22 The graph shows how he displacemen of a paricle in a wave varies wih ime. displacemen / cm ime / s 1 2 Which saemen is correc? The wave has a period of 2 s and could be eiher ransverse or longiudinal. The wave has a period of 2 s and mus be ransverse. The wave has a period of 4 s and could be eiher ransverse or longiudinal. The wave has a period of 4 s and mus be ransverse. ULES /13/O/N/17 [Turn over

12 12 23 wave ravels along a coiled spring. The graph shows he variaion wih ime of he displacemen of a poin on he spring. displacemen ime / s Wha is he frequency of he wave?.13 Hz.2 Hz 5. Hz 7.5 Hz 24 n elecrical signal is displayed on a cahode-ray oscilloscope (c.r.o.). The ime-base seing is 5 ms div 1. The Y-gain seing is 2 V div 1. Wha is he ampliude of he signal? 2 V 4 V 5 V 1 V ULES /13/O/N/17

13 13 25 source of sound of frequency F a poin Z is moving a a seady speed. The paern of he emied wavefrons is shown. X Z Y Which row describes he frequencies of he sound heard by saionary observers a X and Y? frequency heard a X frequency heard a Y <F <F <F >F >F <F >F >F 26 car ravelling a a seady speed in a sraigh line passes close o a saionary observer. The observer measures he frequency of he sound from he engine. s he car approaches, he observed frequency is 22 Hz. When he car moves away, he observed frequency is 18 Hz. The speed of sound in air is 34 m s 1. Wha is he speed of he car? 8.5 m s 1 31 m s 1 34 m s 1 38 m s 1 27 Which frequency of elecromagneic radiaion could be ulraviole? Hz Hz Hz Hz ULES /13/O/N/17 [Turn over

14 14 28 n elecromagneic wave ravels in a sraigh line hrough a vacuum. The wave has a frequency of 6. THz. Wha is he number of wavelenghs in a disance of 1. m along he wave? beam of laser ligh is direced owards a narrow sli. cross-secion of beam of ligh panel sli fer emerging from he oher side of he sli, he ligh hen falls on a screen. Wha is he paern of ligh seen on he screen? ULES /13/O/N/17

15 15 3 The diagrams show four pairs of waves. In each case he displacemen y measured a a fixed poin is ploed agains ime. Which pair of waves is no coheren? y y y y y y y y ULES /13/O/N/17 [Turn over

16 16 31 The diagram shows he elecric field near a posiively charged sphere and a negaively charged sphere. Four elecrons,, and are shown a differen posiions in he field. On which elecron is he direcion of he force on he elecron shown correcly? + 32 Lighning can occur beween a charged cloud and he Earh s surface when he elecric field srengh in he inervening amosphere reaches 25 kn 1. The diagram shows he elecric field beween he base of a cloud and he Earh s surface. base of cloud 2. km Earh s surface Wha is he minimum poenial difference beween he Earh and he base of a cloud, 2. km high, for lighning o occur? 12.5 MV 25 MV 5 MV 1 MV ULES /13/O/N/17

17 33 The number densiy of conducion elecrons in copper is m Wha is he average drif speed of elecrons in a copper wire of diameer.42 mm when he curren in he wire is.57? m s m s m s m s 1 34 simple circui comprises a source of elecromoive force (e.m.f.) conneced o a load. How does he oupu power of he source depend on he inernal resisance r of he source and he resisance R of he load? is independen of boh r and R. depends on r bu no on R. depends on R bu no on r. depends on boh r and R. 35 n ideal diode has zero resisance when forward biased and infinie resisance when reverse biased. The diode is conneced in series wih a 2 Ω resisor across he erminals of a source having elecromoive force (e.m.f.) 3 V and inernal resisance 1 Ω, as shown. 3 V 1 Ω diode 2 Ω V high-resisance volmeer is conneced across he diode and resisor. Which row gives he readings of he volmeer for he wo ways of connecing he diode? forward biased reverse biased 1 V 3 V 2 V V 2 V 3 V 3 V V ULES /13/O/N/17 [Turn over

18 18 36 Two cells, each wih elecromoive force (e.m.f.) E, bu differen inernal resisances r 1 and r 2, are conneced in series o a resisor R. The reading on he volmeer is V. V E E r 1 r 2 R Wha is he resisance of R? r 1 r 2 r 1 + r 2 r 1 r 2 r 1 + r 2 37 Three idenical cells each have elecromoive force (e.m.f.) E and negligible inernal resisance. The cells are conneced o hree idenical resisors, each of resisance R, as shown. E R Q E R R E Wha is he poenial difference beween and Q? E 3 2E 3 E ULES /13/O/N/17

19 38 In each arrangemen of resisors, he ammeer has a resisance of 2 Ω. 19 Which arrangemen gives he larges reading on he ammeer when he same poenial difference is applied beween poins and Q? 1 Ω 2 Ω Q 1 Ω 2 Ω Q 1 Ω 2 Ω Q 1 Ω 2 Ω Q 39 Each opion shows he number of neurons, proons and elecrons in wo aoms, some of which are ionised. Which pair of aoms in he able are isoopes of he same elemen? neuron proon elecron Which combinaion of up (u) and down (d) quarks forms a proon? u u u u u d u d d d d d ULES /13/O/N/17

20 2 LNK GE ermission o reproduce iems where hird-pary owned maerial proeced by copyrigh is included has been sough and cleared where possible. Every reasonable effor has been made by he publisher (ULES) o race copyrigh holders, bu if any iems requiring clearance have unwiingly been included, he publisher will be pleased o make amends a he earlies possible opporuniy. To avoid he issue of disclosure of answer-relaed informaion o candidaes, all copyrigh acknowledgemens are reproduced online in he ambridge Inernaional Examinaions opyrigh cknowledgemens ookle. This is produced for each series of examinaions and is freely available o download a afer he live examinaion series. ambridge Inernaional Examinaions is par of he ambridge ssessmen Group. ambridge ssessmen is he brand name of Universiy of ambridge Local Examinaions Syndicae (ULES), which is iself a deparmen of he Universiy of ambridge. ULES /13/O/N/17

0 time. 2 Which graph represents the motion of a car that is travelling along a straight road with a uniformly increasing speed?

0 time. 2 Which graph represents the motion of a car that is travelling along a straight road with a uniformly increasing speed? 1 1 The graph relaes o he moion of a falling body. y Which is a correc descripion of he graph? y is disance and air resisance is negligible y is disance and air resisance is no negligible y is speed and