NATIONAL SENIOR CERTIFICATE NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 12

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1 NATIONAL SENIOR CERTIFICATE NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 1 PHYSICAL SCIENCES: PHYSICS (P1) FISIESE WETENSKAPPE: FISIKA (V1) FEBRUARY/MARCH/FEBRUARIE/MAART 013 MEMORANDUM MARKS/PUNTE: 150 This memorandum consists o 3 pages. Hierdie memorandum bestaan uit 3 bladsye.

2 Physical Sciences P1/Fisiese Wetenskappe V1 DBE/Feb. Mar./Feb. Mrt. 013 Learning Outcomes and Assessment Standards Leeruitkomste en Asseseringstandaarde LO/LU 1 LO/LU LO/LU 3 AS 1.1.1: Design, plan and conduct a scientiic inquiry to collect data systematically with regard to accuracy, reliability and the need to control variables. Ontwerp, beplan en voer ʼn wetenskaplike ondersoek uit om data te versamel ten opsigte van akkuraatheid, betroubaarheid en die kontroleer van veranderlikes. AS 1..1: Deine, discuss and explain prescribed scientiic knowledge. Deinieer, bespreek en verduidelik voorgeskrewe wetenskaplike kennis. AS 1.3.1: Research, discuss, compare and evaluate scientiic and indigenous knowledge systems and knowledge claims by indicating the correlation among them, and explain the acceptance o dierent claims. Doen navorsing, bespreek, vergelyk en evalueer wetenskaplike en inheemse kennissisteme en kennisaansprake deur die ooreenkoms aan te dui en verduidelik die aanvaarding van verskillende aansprake. AS 1.1.: Seek patterns and trends, represent them in dierent orms, explain the trends, use scientiic reasoning to draw and evaluate conclusions, and ormulate generalisations. Soek patrone en tendense, stel dit in verskillende vorms voor, verduidelik tendense, gebruik wetenskaplike beredenering om gevolgtrekkings te maak en te evalueer, en ormuleer veralgemenings. AS 1.1.3: Select and use appropriate problem-solving strategies to solve (unseen) problems. Kies en gebruik geskikte probleemoplossingsstrategieë om (ongesiene) probleme op te los. AS 1.1.4: Communicate and deend scientiic arguments with clarity and precision. Kommunikeer en verdedig wetenskaplike argumente duidelik en presies. AS 1.. Express and explain prescribed scientiic principles, theories, models and laws by indicating the relationship between dierent acts and concepts in own words. Verduidelik en druk voorgeskrewe wetenskaplike beginsels, teorieë, modelle en wette uit deur die verwantskap tussen verskillende eite konsepte in eie woorde aan te dui. AS 1..3: Apply scientiic knowledge in everyday lie contexts. Pas wetenskaplike kennis in kontekste van die alledaagse lewe toe. AS 1.3.: Research case studies and present ethical and moral arguments rom dierent perspectives to indicate the impact (pros and cons) o dierent scientiic and technological applications. Vors gevallestudies na en lewer etiese en morele argumente uit verskillende perspektiewe om die impak (voordele en nadele) van verskillende wetenskaplike en tegnologiese toepassings aan te dui. AS 1.3.3: Evaluate the impact o scientiic and technological research and indicate the contribution to the management, utilisation and development o resources to ensure sustainability continentally and globally. Evalueer die impak van wetenskaplike en tegnologiese navorsing en dui die bydrae tot bestuur, benutting en ontwikkeling van bronne om volhoubaarheid kontinentaal en globaal te verseker.

3 Physical Sciences P1/Fisiese Wetenskappe V1 3 DBE/Feb. Mar./Feb. Mrt. 013 GENERAL GUIDELINES/ALGEMENE RIGLYNE 1. CALCULATIONS/BEREKENINGE Marks will be awarded or: correct ormula, correct substitution, correct answer with unit. Punte sal toegeken word vir: korrekte ormule, korrekte substitusie, korrekte antwoord met eenheid. No marks will be awarded i an incorrect or inappropriate ormula is used, even though there may be relevant symbols and applicable substitutions. Geen punte sal toegeken word waar 'n verkeerde o ontoepaslike ormule gebruik word nie, sels al is daar relevante simbole en relevante substitusies. When an error is made during substitution into a correct ormula, a mark will be awarded or the correct ormula and or the correct substitutions, but no urther marks will be given. Wanneer 'n out gedurende substitusie in 'n korrekte ormule begaan word, sal 'n punt vir die korrekte ormule en vir korrekte substitusies toegeken word, maar geen verdere punte sal toegeken word nie. I no ormula is given, but all substitutions are correct, a candidate will oreit one mark. Indien geen ormule gegee is nie, maar al die substitusies is korrek, verloor die kandidaat een punt. No penalisation i zero substitutions are omitted in calculations where correct ormula/principle is given correctly. Geen penalisering indien nulwaardes nie getoon word nie in berekeninge waar die ormule/beginsel korrek gegee is nie. Mathematical manipulations and change o subject o appropriate ormulae carry no marks, but i a candidate starts o with the correct ormula and then changes the subject o the ormula incorrectly, marks will be awarded or the ormula and the correct substitutions. The mark or the incorrect numerical answer is oreited. Wiskundige manipulasies en verandering van die onderwerp van toepaslike ormules tel geen punte nie, maar indien 'n kandidaat met die korrekte ormule begin en dan die onderwerp van die ormule verkeerd verander, sal punte vir die ormule en korrekte substitusies toegeken word. Die punt vir die verkeerde numeriese antwoord word verbeur. Marks are only awarded or a ormula i a calculation has been attempted. i.e. substitutions have been made or a numerical answer given. Punte word slegs vir 'n ormule toegeken indien 'n poging tot 'n berekening aangewend is, d.w.s. substitusies is gedoen o 'n numeriese antwoord is gegee. Marks can only be allocated or substitutions when values are substituted into ormulae and not when listed beore a calculation starts. Punte kan slegs toegeken word vir substitusies wanneer waardes in ormule ingestel is en nie vir waardes wat voor 'n berekening gelys is nie.

4 Physical Sciences P1/Fisiese Wetenskappe V1 4 DBE/Feb. Mar./Feb. Mrt All calculations, when not speciied in the question, must be done to a minimum o two decimal places. Alle berekenings, wanneer nie in die vraag gespesiiseer word nie, moet tot 'n minimum van twee desimale plekke gedoen word. I a inal answer to a calculation is correct, ull marks will not automatically be awarded. Markers will always ensure that the correct/appropriate ormula is used and that workings, including substitutions, are correct. Indien 'n inale antwoord tot 'n berekening korrek is, sal volpunte nie outomaties toegeken word nie. Nasieners sal altyd verseker dat die korrekte/toepaslike ormule gebruik word en dat bewerkings, insluitende substitusies korrek is. Questions where a series o calculations have to be made (e.g. a circuit diagram question) do not necessarily always have to ollow the same order. FULL MARKS will be awarded provided it is a valid solution to the problem. However, any calculation that will not bring the candidate closer to the answer than the original data, will not count any marks. Vrae waar 'n reeks berekenings gedoen moet word (bv. 'n stroomdiagramvraag) hoe nie noodwendig dieselde volgorde te hê nie. VOLPUNTE sal toegeken word op voorwaarde dat dit 'n geldige oplossing vir die probleem is. Enige berekening wat egter nie die kandidaat nader aan die antwoord as die oorspronklike data bring nie, sal geen punte tel nie.. UNITS/EENHEDE.1. Candidates will only be penalised once or the repeated use o an incorrect unit within a question. 'n Kandidate sal slegs een keer gepenaliseer word vir die herhaaldelike gebruik van 'n verkeerde eenheid in 'n vraag. Units are only required in the inal answer to a calculation. Eenhede word slegs in die inale antwoord tot 'n vraag verlang..3 Marks are only awarded or an answer, and not or a unit per se. Candidates will thereore oreit the mark allocated or the answer in each o the ollowing situations: - Correct answer + wrong unit - Wrong answer + correct unit - Correct answer + no unit Punte word slegs vir 'n antwoord en nie vir 'n eenheid per se toegeken nie. Kandidate sal derhalwe die punt vir die antwoord in die volgende gevalle verbeur: - Korrekte antwoord + verkeerde eenheid - Verkeerde antwoord + korrekte eenheid - Korrekte antwoord + geen eenheid.4 SI units must be used except in certain cases, e.g. V m -1 instead o N C -1, and cm s -1 or km h -1 instead o m s -1 where the question warrants this. SI-eenhede moet gebruik word, behalwe in sekere gevalle, bv. V m -1 in plaas van N C -1, en cm s -1 o km h -1 in plaas van m s -1 waar die vraag dit regverdig.

5 Physical Sciences P1/Fisiese Wetenskappe V1 5 DBE/Feb. Mar./Feb. Mrt GENERAL/ALGEMEEN I one answer or calculation is required, but two given by the candidate, only the irst one will be marked, irrespective o which one is correct. I two answers are required, only the irst two will be marked, etc. Indien een antwoord o berekening verlang word, maar twee word deur die kandidaat gegee, sal slegs die eerste een nagesien word, ongeag watter een korrek is. Indien twee antwoorde verlang word, sal slegs die eerste twee nagesien word, ens. For marking purposes, alternative symbols (s, u, t, etc.) will also be accepted Vir nasiendoeleindes sal alternatiewe simbole (s, u, t, ens.) ook aanvaar word. Separate compound units with a multiplication dot, not a ull stop, or example, m s -1. For marking purposes m.s -1 and m/s will also be accepted. Skei saamgestelde eenhede met 'n vermenigvuldigpunt en nie met 'n punt nie, byvoorbeeld, m s -1. Vir nasiendoeleindes sal m.s -1 em m/s ook aanvaar word. 4. POSITIVE MARKING/POSITIEWE NASIEN Positive marking regarding calculations will be ollowed in the ollowing cases: Positiewe nasien met betrekking tot berekenings sal in die volgende gevalle geld: Sub-question to sub-question: When a certain variable is calculated in one sub-question (e.g. 3.1) and needs to be substituted in another (3. or 3.3), e.g. i the answer or 3.1 is incorrect and is substituted correctly in 3. or 3.3, ull marks are to be awarded or the subsequent sub-questions. Subvraag na subvraag: Wanneer 'n sekere veranderlike in een subvraag (bv. 3.1) bereken word en dan in 'n ander vervang moet word (3. o 3.3), bv. indien die antwoord vir 3.1 verkeerd is en word korrek in 3. o 3.3 vervang, word volpunte aan die daaropvolgende subvraag toegeken. A multi-step question in a sub-question: I the candidate has to calculate, or example, current in the irst step and gets it wrong due to a substitution error, the mark or the substitution and the inal answer will be oreited. 'n Vraag met veelvuldige stappe in 'n subvraag: Indien 'n kandidaat byvoorbeeld, die stroom verkeerd bereken in 'n eerste stap as gevolg van 'n substitusieout, verloor die kandidaat die punt vir die substitusie sowel as die inale antwoord.

6 Physical Sciences P1/Fisiese Wetenskappe V1 6 DBE/Feb. Mar./Feb. Mrt NEGATIVE MARKING/NEGATIEWE NASIEN Normally an incorrect answer cannot be correctly motivated i based on a conceptual mistake. I the candidate is thereore required to motivate in question 3. the answer given to question 3.1, and 3.1 is incorrect, no marks can be awarded or question 3.. However, i the answer or e.g is based on a calculation, the motivation or the incorrect answer in 3. could be considered. 'n Verkeerde antwoord, indien dit op 'n konsepsuele out gebaseer is, kan normaalweg nie korrek gemotiveer word nie. Indien 'n kandidaat gevra word om in vraag 3. die antwoord op vraag 3.1 te motiveer en 3.1 is verkeerd, kan geen punte vir vraag 3. toegeken word nie. Indien die antwoord op bv. 3.1 egter op 'n berekening gebaseer is, kan die motivering vir die verkeerde antwoord in 3. oorweeg word.

7 Physical Sciences P1/Fisiese Wetenskappe V1 7 DBE/Feb. Mar./Feb. Mrt. 013 SECTION A QUESTION 1/VRAAG X-rays/X-strale (1) 1. Momentum (1) 1.3 Huygens (principle)/huygens (se beginsel) (1) 1.4 ampere/ampère Accept/Aanvaar: A I amp/amps no marks Indien amp/ampe geen punte (1) 1.5 Isolated/closed Geïsoleerde/geslote (1) [5] QUESTION /VRAAG.1 B (). A ().3 A ().4 D ().5 A ().6 D ().7 B ().8 A ().9 B ().10 C () [0] TOTAL SECTION A/TOTAAL AFDELING A: 5

8 Physical Sciences P1/Fisiese Wetenskappe V1 8 DBE/Feb. Mar./Feb. Mrt. 013 SECTION B/AFDELING B QUESTION 3/VRAAG N downwards/awaarts () OPTION 1/OPSIE 1 Downward positive: Awaarts positie: v = v + a y v i = 0 + (9,8)(0,8) v = 3,96 m s -1 downward /awaarts Downward negative: Awaarts negatie: v = v i + a y v = 0 + (-9,8)(-0,8) v = -3,96 m s -1 v = 3,96 m s -1 downward /awaarts OPTION /OPSIE (E p + E k ) top/bo = (E p + Ek) bottom/onder mgh + 0 = 0 + ½mv (9,8)(0,8) = ½ v v = 3,96 m s -1 downward/awaarts OPTION 3/OPSIE 3 W net = ΔE k /ΔK mgδycosθ = ½ mv - ½ mv i (0,)(9,8)(0,8)cos0 o = ½ (0,)v - 0 v = 3,96 m s -1 downward/awaarts OPTION 4/OPSIE 4 Δy =v i Δt + ½ aδt 0,8 = 0 + ½ (9,8)Δt Δt = 0,404 s Both ormulae Beide ormules v = v i + aδt = 0 + (9,8)(0,404) = 3,96 m s -1 downward/awaarts Accept/Aanvaar: g or/o a Accept/Aanvaar: v = v i + a x v = u + as Accept/Aanvaar: x Accept/Aanvaar: g or/o a Accept/Aanvaar: s = ut + ½ at Δx =v i Δt + ½ aδt v = u + at (4)

9 Physical Sciences P1/Fisiese Wetenskappe V1 9 DBE/Feb. Mar./Feb. Mrt POSITIVE MARKING FROM QUESTION 3..1 POSITIEWE NASIEN VAN VRAAG 3..1 OPTION 1/OPSIE 1 Downward positive/awaarts positie: F net Δt= Δp OR F net Δt = m(v v i ) (-50)Δt = 0,(- 3,43 3,96) Δt = 0,03 s (3 x 10 - s) Downward negative/awaarts negatie: F net Δt= Δp OR F net Δt = m(v v i ) (50)Δt = 0,[3,43 (-3,96)] Δt = 0,03 s (3 x 10 - s) OPTION /OPSIE Downward positive/awaarts positie: F net = ma (-50) = 0,a a = -50 m s - v = vi + a t -3,43 = 3,96 + (-50) t Δt = 0,03 s (3 x 10 - s) both ormulae beide ormules : Substitution: F net and v must have the same sign. Substitusie: F net en v moet dieselde tekens hê. Accept/Aanvaar: v = u + at v = v + a t i Downward negative/awaarts negatie: F net = ma (50) = 0,a a = 50 m s - v = vi + a t 3,43 = -3,96 + (50) t Δt = 0,03 s (3 x 10 - s) both ormulae beide ormules (4)

10 Physical Sciences P1/Fisiese Wetenskappe V1 10 DBE/Feb. Mar./Feb. Mrt POSITIVE MARKING FROM QUESTION 3.. POSITIEWE NASIEN VAN VRAAG 3.. OPTION/OPSIE 1 Ground as zero reerence and downward negative: Grond as nulverwysing en awaarts negatie: Criteria or graph/kriteria vir graiek: Correct shape (both curves) Korrekte vorm (beide krommes) Graph starts at y = 0,8 m at t = 0 s Graiek begin by y = 0,8 m at t = 0 s Second maximum height at y = 0,6 m Tweede maksimum by y = 0,6 m s Contact time shown as space on x axis between two curves. Kontaktyd aangetoon as spasie op x-as tussen twee krommes. Time at which ball leaves the loor shown as t = 0,434 s. Tyd wanneer die bal die vloer verlaat getoon as t = 0,434 s. Marks/ Punte 0,8 Position/Posisie (m) 0,6 0 0,404 0,434 Time/tyd(s)

11 Physical Sciences P1/Fisiese Wetenskappe V1 11 DBE/Feb. Mar./Feb. Mrt. 013 OPTION/OPSIE Ground as zero reerence and downward positive: Grond as nulverwysing en awaarts positie: Criteria or graph/kriteria vir graiek: Correct shape (both curves) Korrekte vorm (beide krommes) Graph starts at y = -0,8 m at t = 0 s Graiek begin by y = -0,8 m at t = 0 s Second maximum height at y = -0,6 m Tweede maksimum by y = -0,6 m s Contact time shown as space on x axis between two curves. Kontaktyd aangetoon as spasie op x-as tussen twee krommes. Time at which ball leaves the loor shown as t = 0,434 s. Tyd wanneer die bal die vloer verlaat getoon as t = 0,434 s. Marks/ Punte Position/Posisie (m) -0,6 0 0,404 0,43 4 Time/tyd(s) -0,8

12 Physical Sciences P1/Fisiese Wetenskappe V1 1 DBE/Feb. Mar./Feb. Mrt. 013 IF/INDIEN: Ground not taken as zero reerence:/grond nie as nulverwysing geneem is nie: Max./Maks. 4 5 Height above ground as zero reerence and downward negative: Hoogte bokant grond as nulverwysing en awaarts negatie: Criteria or graph/kriteria vir graiek: Correct shape (both curves) Korrekte vorm (beide krommes) Second maximum height at y = -0,6 m Tweede maksimum by y = -0,6 m Contact time shown as space on x axis between two curves. Kontaktyd aangetoon as spasie op x-as tussen twee krommes. Time at which ball leaves the loor shown as t = 0,434 s. Tyd wanneer die bal die vloer verlaat getoon as t = 0,434 s. Marks/Punte Position/Posisie (m) 0-0,6 0,404 0,434 Time/tyd(s) -0,8 Height above ground as zero reerence and downward positive: Hoogte bokant grond as nulverwysing en awaarts positie: Criteria or graph/kriteria vir graiek: Marks/Punte Correct shape (both curves) Korrekte vorm (beide krommes) Second maximum height at y = -0,6 m Tweede maksimum by y = -0,6 m Contact time shown as space on x axis between two curves. Kontaktyd aangetoon as spasie op x-as tussen twee krommes. Time at which ball leaves the loor shown as t = 0,434 s. Tyd wanneer die bal die vloer verlaat getoon as t = 0,434 s. Position/Posisie (m) 0,8 0,6 0 0,404 0,434 Time/tyd(s) (5) [15]

13 Physical Sciences P1/Fisiese Wetenskappe V1 13 DBE/Feb. Mar./Feb. Mrt. 013 QUESTION 4/VRAAG The total (linear) momentum remains constant/is conserved in an isolated/a closed system/the absence o external orces. Die totale lineêre momentum bly konstant/behoue in 'n geïsoleerde sisteem/geslote sisteem/die awesigheid van eksterne kragte. : The mark or 'closed/isolated system' is only awarded i used in conjunction with momentum. Die punt vir 'geslote/geïsoleerde sisteem' word slegs toegeken indien saam met momentum gebruik. Accept: The total momentum beore a collision equals the total momentum ater a collision in a closed system. Aanvaar: Die totale momentum voor 'n botsing is gelyk aan die totale momentum na 'n botsing in 'n geslote sisteem. 4. To the right as positive/na regs as positie: Σ p beore/voor = Σ p ater/na (0,01)(300) + (1,99)(0) = (0,01 + 1,99)v v = 1,5 m s -1 () To the right as negative/na regs as negatie: Σ p beore/voor = Σ p ater/na (0,01)(-300) + (1,99)(0) = (0,01 + 1,99)v v = -1,5 m s -1 v = 1,5 m s -1 Other ormulae/ander ormules: m 1 v i1 + m v i = m 1 v 1 + m v or/o m 1 u 1 + m u = m 1 v 1 + m v or/o m 1 v i1 + m v i = (m 1 + m )v : 3 I no ormula/principle Max. 4 Indien geen ormule/beginsel Maks Inelastic/Onelasties Kinetic energy is not conserved./kinetiese energie bly nie behoue nie. OR/OF Inelastic/Onelasties Objects stick together/voorwerpe heg aan mekaar. OR/OF Inelastic/Onelasties Structural damage to the block./strukturele skade aan blok. OR/OF Inelastic/Onelasties There is deormation to the block/bullet./daar is vervorming van die blok. OR/OF Inelastic/Onelasties Energy converted to other orms such as sound and heat./energie word omgeskakel na ander vorms soos klank en hitte. () (4)

14 Physical Sciences P1/Fisiese Wetenskappe V1 14 DBE/Feb. Mar./Feb. Mrt POSITIVE MARKING FROM QUESTION 4.. POSITIEF NASIEN VAN VRAAG 4.. Option 1/Opsie 1: W net = ΔK OR /OF F net xcos θ = 1 mv 1 mv (8)Δxcos180 = ()(0 1,5 ) x = 0,8 m i 1 : Accept/Aanvaar: E k Option /Opsie : F net = ma (-8) = a a = - 4 m s - v = v i + a x 0 = (1,5) + (-4) x x = 0,8 m Both ormulae Beide ormules : Accept/Aanvaar: v = v + a y v = u i + as (4) [1] QUESTION 5/VRAAG The total mechanical energy remains constant/is conserved in an isolated/closed system. Die totale meganiese energie bly konstant/bly behoue in 'n geïsoleerde/geslote sisteem OR/OF The sum o the potential and kinetic energy remains constant in an isolated/closed system. Die som van die potensiële en kinetiese energies bly konstant in 'n geïsoleerde/geslote sisteem : The mark or 'closed/isolated system' is only awarded i used in conjunction with energy. Die punt vir 'geslote/geïsoleerde sisteem' word slegs toegeken indien saam met energie gebruik. ()

15 Physical Sciences P1/Fisiese Wetenskappe V1 15 DBE/Feb. Mar./Feb. Mrt Free-body diagram Accept/Aanvaar: Force diagram/kragtediagram Vrye kragtediagram w w w Accepted labels/aanvaarde benoemings F g /F w /orce o Earth on boy/weight/39 N/mg/gravitational orce F g /F w /krag van Aarde op seun/gewig/39 N/mg/gravitasiekrag (1) 5.. Free-body diagram Vrye kragtediagram N w Accept: Force diagram Aanvaar: Kragtediagram N w OR/OF N w // OR/OF w w Accepted labels/aanvaarde benoemings w F g /F w /orce o Earth on girl/weight/15,6 N/mg/gravitational orce F g /F w /krag van Aarde op meisie/gewig/15,6 N/mg/gravitasiekrag F riction /F /riction F wrywing /F /F w /wrywing N F N /F normal /normal orce/orce o slide or surace on girl N w // (3) K i + U i = K + U OR mv i (40)(9,8)(1,5) = (40)v v = 5,4 m s -1 + mgh i = mv + mgh : Accept/Aanvaar E p & E k (4)

16 Physical Sciences P1/Fisiese Wetenskappe V1 16 DBE/Feb. Mar./Feb. Mrt Option 1/Opsie 1 W net = ΔK w xcos θ + xcos θ = mg xcos θ + xcos θ = 1 1 mv mvi 1 1 mv mv i 1 ()(9,8)(3)cos60 + (1,9)(3)cos180 = ()(v 0 ) v = 5,37 m s -1 Option /Opsie W net = ΔK w// xcos θ + xcos θ = ½ mv ½ mv i 1 1 mgsin θ xcos θ + xcos θ = mv mvi 1 ()(9,8)sin30 (3)cos0 + (1,9)(3)cos180 = ()(v 0 ) v = 5,37 m s -1 Option 3/Opsie 3 W net = ΔK mghcosθ + xcos θ = 1 mv 1 mv ()(9,8)(1,5)cos0 + (1,9)(3)cos180 = ()(v 0 ) v = 5,37 m s -1 Option 4/Opsie 4 W net = ΔK - U + W = K - (mgh mgh i ) + W = K i 1 Accept/ Aanvaar: y/ x Accept/ Aanvaar: y/ x Accept/ Aanvaar h/ y/ x Accept/ Aanvaar h/ y/ x 1 - (0 ()(9,8)(1,5) + (1,9)(3)cos180 = ()(v 0 ) v = 5,37 m s -1 (5) 5.5 Equal to/gelyk aan (1) [16]

17 Physical Sciences P1/Fisiese Wetenskappe V1 17 DBE/Feb. Mar./Feb. Mrt. 013 QUESTION 6/VRAAG The approaching observer (higher ) passes the source at t = 6 s and moves away (lower ) rom the source. Die naderende waarnemer (hoër ) beweeg verby die bron by t = 6 s en beweeg weg (laer ) van die bron a. (1) OPTION 1/OPSIE 1 Approaching observer: Naderende waarnemer: v ± v L v + vl L = s OR/OF L = s v ± v s v v L 900 = (850) 340 v L = 0 m s -1 OPTION / OPSIE Observer moving away: Waarnemer beweeg weg: v ± v L v vl L = s OR/OF L = s v ± v s v 340 v L 800 = (850) 340 v L = 0 m s -1 Notes: Any other Doppler ormula, e.g. v vl L = - Max. 3 v v 4 s Aantekeninge: Enige ander Dopplerormule, bv. v vl L = - Maks. 3 v v 4 s (5) 6.. POSITIVE MARKING FROM QUESTION 6..1 POSITIEWE NASIEN van VRAAG 6..1 Option 1/Opsie 1: 1 Δx = v Δt + a t i = (0)(6) + ½(0) t x = 10 m Option /Opsie : Δx = vδ t = (0)(6) x = 10 m Accept/Aanvaar: s = ut / s = vt s = ut + Δy = v i Δt 1 at + t 1 a (3) [9]

18 Physical Sciences P1/Fisiese Wetenskappe V1 18 DBE/Feb. Mar./Feb. Mrt. 013 QUESTION 7/VRAAG B (1) 7. Constructive intererence Konstruktiewe intererensie c = λ 3 x 10 8 = 4,54 x λ λ = 6,61 x 10-7 m 7.3. POSITIVE MARKING FROM QUESTION POSITIEWE NASIEN VAN VRAAG OPTION 1/OPSIE 1 1 centralband tan θ = screen dis tance 1 (0,) tan θ = 1,5 θ = 3,81 mλ sin θ = a (1)(6,61 10 sin3,81 = a a = 9,95 x 10-6 m 7 ) Accept/Aanvaar v = λ Accept inal answer in range: 9,94 x10-6 to 9,95 x10-6 m Aanvaar inale antwoorde in die gebied: 9,94 x10-6 to 9,95 x10-6 m IF distance is not hal o central band: Max 6 4 INDIEN astand nie helte van sentrale band is nie: Maks 6 4 () (3) OPTION /OPSIE 1 centralband tan θ = screen dis tance 1 (0,) tan θ = 1,5 θ = 3,81 mλ sin θ = a ( 1)(6,61 10 sin(-3,81 ) = a a = 9,95 x 10-6 m 7 ) Accept inal answer in range: 9,94 x10-6 to 9,95 x10-6 m Aanvaar inale antwoorde in die gebied: 9,94 x10-6 to 9,95 x10-6 m IF distance is not hal o central band: Max 6 4 INDIEN astand nie helte van sentrale band is nie: Maks 6 4 (6) 7.4 Decreases/Verminder (1) [13]

19 Physical Sciences P1/Fisiese Wetenskappe V1 19 DBE/Feb. Mar./Feb. Mrt. 013 QUESTION 8/VRAAG Stores (electric) charge/energy. Stoor (elektriese) lading/energie. OR/OF Releases (stored) charge instantly/very ast. Stel (gestoorde) lading onmiddellik vry/baie vinnig vry. (1) 8. The brightness o the bulb decreases (gradually) until it stops glowing/dies. Die helderheid van die gloeilamp verminder (geleidelik) (V) OR/OF The bulb glows dimmer until it stops glowing/dies. Die gloeilamp gloei louer totdat dit ophou gloei/uitbrand. IF/INDIEN: 1 Decreases/Aneem - Max/Maks. The bulb glows/die gloeilamp gloei. Max/Maks. 0 The bulb does not glow. /Die gloeilamp gloei nie. Max/Maks. 0 The bulb stops glowing ater a while./die 1 gloeilamp hou op gloei na 'n ruk. Max/Maks. (1) (1) V (1) POSITIVE MARKING FROM QUESTION POSITIEWE NASIEN VAN VRAAG E = d V 1 = 3 5,4 10 =, x 10 3 V m -1 (, V m -1 ) (3) 8.4. POSITIVE MARKING FROM QUESTION POSITIEWE NASIEN VAN VRAAG F E = q, x 10 3 F = 19 1,6 10 F = 3,56 x N (3) ,4 mm 3,8 mm = 1,6 mm (1)

20 Physical Sciences P1/Fisiese Wetenskappe V1 0 DBE/Feb. Mar./Feb. Mrt POSITIVE MARKING FROM QUESTION 8.4. & POSITIEWE NASIEN VAN VRAAG 8.4. & W = FΔxcosθ = (3,56 x )(1,6 x 10-3 )cos 0 Accept/Aanvaar: = 5,69 x J W = Eqd = (, x 10-3 )(1,6 x )(1,6 x 10-3 ) = 5,69 x J (4) [15] QUESTION 9/VRAAG Potential dierence/potensiaalverskil (1) 9.1. Temperature/Temperatuur Resistance/Weerstand (1) Current is directly proportional to potential dierence. Stroom is direk eweredig aan potensiaalverskil OR/OF The ratio o potential dierence to current is constant. Die verhouding van potensiaalverskil tot stroom is konstant. IF/INDIEN: Current is proportional to potential dierence. Stroom is eweredig aan potensiaalverskil. () ,18 0 Gradient/m = = 0,36 0,5 0 1 R = =,78 Ω 0,36 : Accept any set o correct values rom the graph. Aanvaar enige stel waardes vana die graiek. (4) = + Rp R1 R 1 1 = R p = 3,75 Ω (3)

21 Physical Sciences P1/Fisiese Wetenskappe V1 1 DBE/Feb. Mar./Feb. Mrt POSITIVE MARKING FROM QUESTION POSITIEWE NASIEN VAN VRAAG OPTION / OPSIE V p = I 10 Ω R = 0,6 x 10 = 6 V Any one V Enige een p I p = Rp 6 = 3,75 = 1,6 A Do not penalise or subscripts. Moenie penaliseer indien onderskrite weggelaat is nie. OPTION 1/OPSIE V 10 Ω = I 10 Ω R = 0,6 x 10 = 6 V I 6Ω = R V Any one Enige een Do not penalise or subscripts. Moenie penaliseer indien onderskrite weggelaat is nie. = 6 6 = 1 A I tot = 1 + 0,6 = 1,6 A (4) 9..3 POSITIVE MARKING FROM QUESTION POSITIEWE NASIEN VAN VRAAG E = I(R + r) 30 = 1,6(3, r) r = Ω (4) [19]

22 Physical Sciences P1/Fisiese Wetenskappe V1 DBE/Feb. Mar./Feb. Mrt. 013 QUESTION 10/VRAAG Q/split ring commutator/commutator Q/splitringkommutator/kommutator (1) 10. Replace Q/split ring commutator with slip rings. Vervang Q/splitringkommutator met sleepringe. (1) 10.3 AC can be stepped-up at power stations/ws kan by die kragstasie verhoog word to reduce energy loss during transmission./om energieverlies tydens transmissie te verminder. () Imax/maks I rms/wgk = 0,35 = I = 0,5 A rms/wgk I subscripts omitted: no mark or ormula Indien onderskite weggelaat is: geen punt vir ormule (3) OPTION 1/OPSIE 1 Vrms/wgk Pave / = R = R R = 960 Ω gemid OPTION /OPSIE P ave/gemid = I rms/wgkr 60 = (0,5) R R = 960 Ω OPTION 3/OPSIE 3 Vrms/ wgk R = Irms/ wgk 40 = 0,5 = 960 Ω Do not penalise i subscripts are omitted. Moenie penaliseer indien onderskrite weggelaat is nie Accept/Aanvaar: V R = as ormula/ormule I (3) [10]

23 Physical Sciences P1/Fisiese Wetenskappe V1 3 DBE/Feb. Mar./Feb. Mrt. 013 QUESTION 11/VRAAG Quantum/packet o energy/kwantum/pakkie energie ound in light/in lig gevind () OPTION 1/OPSIE 1 E = hc λ 6,9 x (6,63 10 = λ λ =,9 x 10-7 m 34 8 )(3 10 ) OPTION / OPSIE E = h 6,9 x = 6,63 x = 1,04 x Hz c = λ 3 x 10 8 = 1,04 x λ λ =,88 x 10-7 m Both ormulae Beide ormules Accept/Aanvaar: v = λ (5) 11.. E = W o + Ek 6,9 x = 6,4 x E k E k = 5 x 10-0 J (3) Increases/Vermeerder More photons (packets o energy) strike the surace o the metal per unit time./meer otone (pakkies energie) tre die oppervlakte van die metaal per eenheid tyd. More (photo)electrons ejected per unit time./meer (oto)elektrone vrygestel per eenheid tyd. (3) Increases/Vermeerder (Photo)electrons are emitted with higher kinetic energy/move aster./ (Foto)elektrone word vrygestel met hoër kinetiese energie/beweeg vinniger. Increase in rate o low o charge./same number o charges pass a point in a shorter time./toename in tempo van vloei van lading/dieselde aantal lading beweeg verby 'n punt in 'n korter tyd. (3) [16] TOTAL SECTION B/TOTAAL AFDELING B: GRAND TOTAL/GROOTTOTAAL: