# Physical Sciences Grade 12 P1 NSC Supplementary 2015 Memo

> Grade 12 Physical Sciences Paper 1 memorandum from the NSC Supplementary Exam 2015, 17 pages. Read online or download the free PDF.

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- Updated: 2026-09-27
- Subject: Physical Sciences
- Grade: Grade 12
- Document type: Memorandum
- Year: 2015
- Exam period: NSC Supplementary Exam
- Paper: 1
- Curriculum: CAPS
- Pages: 17

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Physical Sciences · Grade 12 · NSC Supplementary Exam · 2015. Memorandum, 17 pages. Read online or download the PDF.

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### Page 1

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                                        NATIONAL
                                   SENIOR CERTIFICATE
                                       NASIONALE
                                   SENIOR SERTIFIKAAT

                                        GRADE/GRAAD 12

                          PHYSICAL SCIENCES: PHYSICS (P1)
                          FISIESE WETENSKAPPE: FISIKA (V1)

                                  FEBRUARY/MARCH 2015
                                  FEBRUARIE/MAART 2015

                                        MEMORANDUM

MARKS/PUNTE: 150

                        This memorandum consists of 17 pages.
                      Hierdie memorandum bestaan uit 17 bladsye.

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      Physical Sciences P1/Fisiese Wetenskappe V1    2                 DBE/Feb.–Mar./Feb.–Mrt. 2015
                                             NSC/NSS – Memorandum

QUESTION 1/VRAAG 1

1.1        A                                                                                     (2)

1.2        C                                                                                     (2)

1.3        D                                                                                     (2)

1.4        B                                                                                     (2)

1.5        D                                                                                     (2)

1.6        A                                                                                     (2)

1.7        A                                                                                     (2)

1.8        C                                                                                     (2)

1.9        A                                                                                     (2)

1.10       B                                                                                     (2)
                                                                                                   [20]

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Physical Sciences P1/Fisiese Wetenskappe V1    3                          DBE/ Feb.–Mar./Feb.–Mrt. 2015
                                       NSC/NSS – Memorandum

QUESTION 2/VRAAG 2

2.1         When one body exerts a force on a second body, the second body exerts a
            force of equal magnitude in the opposite direction on the first body.
            Wanneer een liggaam 'n krag op 'n tweede liggaam uitoefen, oefen die tweede
            liggaam 'n krag van gelyke grootte in die teenoorgestelde rigting op die eerste
            liggaam.

            OR/OF:
            When body A exerts a force on body B, body B will exert a force of equal
            magnitude but opposite in direction on body A.
            Indien liggaam A 'n krag uitoefen op liggaam B, sal B 'n krag van gelyke grootte
            maar teenoorgesteld in rigting op liggaam A uitoefen.

            ACCEPT/AANVAAR (for 1 mark only/vir slegs 1 punt)
            Action and reaction are equal and opposite.
            Aksie en reaksie is gelyk en teenoorgesteld                                                      (2)

2.2                                              Accept/Aanvaar          Notes/Aantekeninge
                   FA                            Force diagram           Do not penalise for
                                  N
                                                 Kragtediagram           length of arrows
                                                                         Moenie vir die lengte van
                                  f             FA                       die pyltjies penaliseer nie
                                                              N
                                                                         If w is not shown but F //
                                      T                                  and F⊥ are shown give 1
                             w                                 f
                                                                         mark for both.
                                                                         Indien w nie aangetoon
                                                                   T     is nie maar F // en F⊥ is
                                                          w
                                                                         getoon, ken 1 punt toe
                                                                         vir beide.

            Accept the following symbols/Aanvaar die volgende simbole.
            N                      F N ; Normal;/Normaal 
            FA                     40 N
            f                      F f ,f k 
            w                      F G Weight/Gewig; Gravitational force/Gravitasiekrag
            T                      Tension/Spanning; F T ;                                                  (5)

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Physical Sciences P1/Fisiese Wetenskappe V1    4                   DBE/ Feb.–Mar./Feb.–Mrt. 2015
                                       NSC/NSS – Memorandum

2.3.1    OPTION 1/OPSIE 1
         For the 1 kg block/Vir die 1 kg blok;
         f k = µkN
            = µ k mgcosθ
             = 0,29 (1 x 9,8 cos 30o) 
          = 2,46 N

         OPTION 2/OPSIE 2
         BY PROPORTION:/DEUR EWEREDIGHEID
         The smaller mass = ¼ of the larger mass
         Die kleiner massa = ¼ die groter massa
         ∴frictional force/wrywingskrag = ¼ (10) 
                                        = 2,5 N                                                      (3)

2.3.2    POSITIVE MARKING FROM QUESTION 2.2                   Notes/Aantekeninge
         POSITIEWE NASIEN VANAF VRAAG 2.2                     Learners need not show how
                                                              (1) and (2) were combined
         OPTION 1/OPSIE 1                                     Leerders hoef nie aan te toon
         F net = ma                                          hoe (1) en (2) gekombineer is
                                                              nie.
         For 1 kg block/Vir 1 kg blok
                                                              The first correct substitution
         F A – {(T+f k ) + mgsinθ} = ma                       for equation (1) should carry 2
         40 – {T + 2,46 + 1(9,8)(sin30o)}= (1 x) a          marks.
          40 – T – 7,36 = a                                   The second substitution must
           32,64 – T =a........(1)                            carry 1 mark.
         For 4 kg block/Vir 4 kg blok                         Die eerste korrekte vervanging
         T – (mg sinθ + f k ) = 4a                            vir vergelyking (1) moet 2
         T – (4 x 9,8 sin30o + 10) = 4a                      punte tel.
         T- 29,6 = 4a.........(2)                             Die tweede vervanging tel 1
         From (1) and (2)/Vanaf (1) en (2)                    punt.
         a = 0,61 m∙s-2
         T = 29,6 + (4(0,61) 
          T = 32,04 N

         OPTION 2/OPSIE 2
         Consider the blocks as a single system.
         Beskou die blokke as 'n enkele sisteem.

         F A – [ (f tot ) - {(4+1) gsin30o}]= (4+1)a
         40 – (10 -2,46) –(5(9,8)sin30o) = 5a
         ∴a = 0,61 m∙s-2

         For 1 kg block/Vir 1 kg blok
         F net = ma
         F A – {(T+f k ) + mgsinθ} = ma
         40 – {T + 2,46 + 1(9,8)(sin30o)} = (1 x) a 
          40 – T – 7,36 = a
         32,64 – T = 0,61
         T = 32,04 N

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Physical Sciences P1/Fisiese Wetenskappe V1    5                  DBE/ Feb.–Mar./Feb.–Mrt. 2015
                                       NSC/NSS – Memorandum

            OR/OF
            For 4 kg block/Vir 4 kg blok
            Fnet - ma
            T – (mg sinθ + f k ) = 4a
            T – (4 x 9,8 sin30o + 10) = 4a
            T- 29,6 = 4a
            T = 29,6 + (4)(0,61)                                                                    (6)
            = 32,04 N                                                                               [16]

QUESTION 3/VRAAG 3

3.1         Free fall/Vrye val

            ACCEPT/AANVAAR
            Vertically accelerated motion/projectile motion.
            Vertikale versnelde beweging /projektielbeweging                                         (1)

3.2.1       Downward motion as positive             Notes / Aantekeninge
            Afwaartse beweging as positief          Accept/Aanvaar
                                                    g or/of a
            ∆y = v i ∆t + ½ a∆t2                   ∆x = v i ∆t + ½ a∆t2
                                                    s = ut + ½ at2
            30 = v i (1,5) + ½ (9,8)(1,5)2 
            v i = 12,65 m∙s-1

            Upward motion as positive
            Opwaartse beweging as positief

            ∆y = v i ∆t + ½ a∆t2
            -30 = v i (1,5) + ½ (-9,8)(1,5)2 
            v i = 12,65 m∙s-1                                                                       (4)

3.2.2       OPTION 1/OPSIE 1                            Notes / Aantekeninge
            Positive marking from QUESTION 3.2.1        For/Vir XB
            Positiewe nasien vanaf VRAAG 3.2.1
                                                        Accept/Aanvaar
                                                        g or/of a
            Downward motion as positive
                                                        v2 = u2 + 2as
            Afwaartse beweging as positief
                                                        The height must be written down in
            v f 2 = v i 2 + 2a∆y
                                                        order to score the final mark.
            12,652 = 0 + 2(9,8) ∆y                    Die hoogte moet neergeskryf word
            ∆y = 8,16 m                                om die finale punt te kry.
            Height/Hoogte XC = XB + BC
            (30 + 8,16) = 38,16 m
            Height is/Hoogte is 38,16 m

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Physical Sciences P1/Fisiese Wetenskappe V1    6                 DBE/ Feb.–Mar./Feb.–Mrt. 2015
                                       NSC/NSS – Memorandum

         Upward motion as positive
         Opwaartse beweging as positief
         v f 2 = v i 2 + 2a∆y
         (-12,65)2 = 0 + 2(-9,8) ∆y
         ∆y = - 8,16 m
         Height/Hoogte XC = XB + BC
         (-30) +(- 8,16) = -38,16 m
         Height is /Hoogte is 38,16 m) 
                                                                                                    (5)

         OPTION /OPSIE 2                                Notes / Aantekeninge
         Positive marking from QUESTION 3.2.1           Start with time for XB
         Positiewe nasien vanaf VRAAG 3.2.1             Begin met tyd vir XB
                                                        Accept/Aanvaar
         Downward motion as positive                    g or/of a
                                                        v=u+at
         Afwaartse beweging as positief
                                                        v2 = u2 + 2as
         v B = v X + a∆t
                                                        s = ut + ½ at2
         12,65 = 0 + 9,8∆t
         ∆t = 1,29 s
         ∆y = v i ∆t + ½ a∆t2
             = 0 + ½ (9,8(1,29)2
         ∆y = 8,15 m
         Height/Hoogte XC = XB + BC
         (30 + 8,15) = 38,15 m

         Upward motion as positive
         Opwaartse beweging as positief
         v B = v X + a∆t
         -12,65 = 0 + (-)9,8∆t
         ∆t = 1,29 s
         ∆y = v i ∆t + ½ a∆t2
            = 0 + ½ (-9,8(1,29)2
         ∆y = -8,15 m
         Height/Hoogte XC = XB + BC
         (-30) + (-8,15) = 38,15 m                                                                 (5)

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Physical Sciences P1/Fisiese Wetenskappe V1    7                  DBE/ Feb.–Mar./Feb.–Mrt. 2015
                                       NSC/NSS – Memorandum

         OPTION 3/OPSIE 3                               Notes / Aantekeninge
         Positive marking from QUESTION 3.2.1           start with velocity at C
         Positiewe nasien vanaf VRAAG 3.2.1             Accept/Aanvaar
                                                        g or/of a
                                                        v = u+at
         Downward motion as positive
                                                        v2 = u2 + 2as
         Afwaartse beweging as positief
                                                        The height must be written down in
         v C = v B + a∆t                               order to score the final mark.
             = 12,65 + 9,8 (1,5)                       Die hoogte moet neergeskryf word
             = 27,35 m∙s-1                              om die finale punt te kry.
         v C = v X 2 + 2a∆y
            2

         (27,35)2 = 0 + 2(9,8) ∆y
         ∴ ∆y = 38,16 m
         Height is /Hoogte is 38,16 m

         Upward motion as positive
         Opwaartse beweging as positief

         v C = v B + a∆t
              = -12,65 + (-9,8) (1,5) 
              = -27,35 m∙s-1
         v C 2 = v X 2 + 2a∆y
         (-27,35)2 = 0 + 2(-9,8) ∆y
         ∴ ∆y = -38,16 m
         Height/Hoogte = 38,16m                                                                    (5)

         OPTION 4/OPSIE 4                               Notes / Aantekeninge
         Positive marking from QUESTION 3.2.1           Accept/Aanvaar
         Positiewe nasien vanaf VRAAG 3.2.1             mgh i + ½ mv i 2 = mgh f + ½ mv f 2

         ∆U + ∆K =0                                    Take point B as the zero position
         (mgh + 0)  = 0 + (½ m(12,65)2)               and XH = h
                                                        Neem punt B is nul posisie en
         h = 8,16 m
                                                        XH = h
         XC = h + 30
             = (30 + 8,16)
            = 38,16 m                                                                              (5)

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Physical Sciences P1/Fisiese Wetenskappe V1    8                                                     DBE/ Feb.–Mar./Feb.–Mrt. 2015
                                       NSC/NSS – Memorandum

3.3      OPTION 1/OPSIE 1                                   Notes / Aantekeninge
                                                             Criteria/Kriteria       Mark/Punt
                                                             For each line correctly
                                                             drawn as shown
                                                                                       
                                                             Vir elke lyn korrek
                                                             geteken soos getoon

            Acceleration/Versnelling
                                                             Both axes correctly
                                                             labelled
                                                                                         
                                                             Beide asse korrek
                                                             benoem

                    (m∙s-2)
                                       0                    Accept/Aanvaar
                                                     t(s)   Only 2 marks for this answer/Slegs 2
                                                            punte vir hierdie antwoord

                                                              Acceleration/Versnelling (m∙s-2)
                                                                                                 0
                                                                                                                     t(s)

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Physical Sciences P1/Fisiese Wetenskappe V1    9                                                            DBE/ Feb.–Mar./Feb.–Mrt. 2015
                                       NSC/NSS – Memorandum

         OPTION 2/OPSIE 2                                           Notes / Aantekeninge
                                                                     Criteria/Kriteria   Mark/Punt
                                                                     For each line
                                                                     correctly drawn as
                                                                     shown               

           Acceleration/Versnelling (m∙s-2)
                                                                     Vir elke lyn korrek
                                                                     geteken soos getoon
                                                                     Both axes correctly
                                                                     labelled
                                                                                         
                                                                     Beide asse korrek
                                                                     benoem
                                              0                     Only 2 marks for this answer/Slegs 2
                                                             t(s)   punte vir hierdie antwoord

                                                                      Acceleration/Versnelling (m∙s-2)
                                                                                                          0
                                                                                                                              t(s)

                                                                                                                                               (3)
                                                                                                                                               [13]

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Physical Sciences P1/Fisiese Wetenskappe V1   10                   DBE/ Feb.–Mar./Feb.–Mrt. 2015
                                       NSC/NSS – Memorandum

QUESTION 4/VRAAG 4

4.1         W net = ΔK                                Notes / Aantekeninge
            W net = ½ (M + m)(v f 2 –v i 2)            1 mark for either of the formulae
                                                       indicated
            W fr = fΔxcosθ =½ (M + m)(v f 2 –v i 2)   1 punt vir enige van die formule
            10 x 2 cos180= ½ (7,02)(0-v2)            aangedui
            v bb = 2,39 m∙s-1 (2,387) m∙s-1           Accept/Aanvaar
                                                       W nc = ΔK + ΔU with ΔU =0                     (5)

4.2         The total linear momentum of an (isolated) closed Notes/Aantekeninge
            system remains constant.                          2 or/of 0
            Die totale lineêre momentum in 'n geslote
            (geïsoleerde) sisteem bly konstant

            ACCEPT/AANVAAR
            In an isolated system the total momentum before
            collision equals the total momentum after collision.
            In 'n (geïsoleerde) geslote sisteem is die totale
            momentum voor botsing gelyk aan die totale
            momentum na botsing.                                                                     (2)

4.3.        Positive marking from QUESTION 4.1           Notes / Aantekeninge
            Positiewe nasien vanaf VRAAG 4.1             Accept/Aanvaar

            Σp i = Σp f                                 (m 1 + m 2 )v i = m 1 v 1f + m 2 v 2f
            m 1 v 1i + m 2 v 2i = (m 1 +m 2 )v f
            0,02v i + (7)(0) = (7,02)(2,39)              837,84 m∙s-1 (for learners working
                                                         with 2,387 m∙s-1/vir leerders wat met
            0,02v i  = 7,02 (2,39)                     2,387 m∙s-1 werk)
            v i = 838,89 m∙s-1                                                                      (4)
                                                                                                     [11]

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                                       NSC/NSS – Memorandum

QUESTION 5/VRAAG 5

5.1          ∆U +∆K = 0                                     Notes / Aantekeninge
            (5)(9,8)( 5) + 0 + (0 + ½ (5v f 2) = 0         Accept/Aanvaar
            v f = 2 × 9,8 × 5                                Mgh i + ½ Mv i 2 = Mgh f + ½ Mv f 2
               = 9,90 m∙s-1 (9,899 m∙s-1)                                                                (4)

5.2         No friction/zero resultant force so there is no loss in energy./Only
            conservative forces present./Mechanical energy is conserved
            Geen wrywing/nul resulterende krag dus is daar geen verlies in energie nie/
            Slegs konserwatiewe kragte is teenwoordig./Meganiese energie bly behoue     (2)

5.3         A force for which the work done is path          Notes / Aantekeninge
            dependent.                                     Accept/Aanvaar
            'n Krag waarvoor arbeid verrig afhanklik         A force which does not conserve
            van die pad gevolg is                            mechanical energy./'n Krag wat nie
                                                             meganiese energie behoue laat bly
                                                             nie.                                         (2)

5.4         OPTION 1/OPSIE 1
            W nc = ∆U +∆K 
            F ∆x cosθ = ∆U +∆K
            (18 ∆x cos 180) = (5 ) ( 9,8) (3 -0) + ½ (5) (0 – 9,902)
            ∆x = 5,4458m
                        3
            θ =sin-1        
                     5,4458
            θ =33,43o
            OPTION 2/OPSIE 2
            W net = W f + W G 
            W net =f ∆x cosθ + mgsinθΔxcosθ
                                                  3
                 =[(18 ) ∆x cos 180o) + 5 (9,8)      ( Δx ) cos180o]
                                                  Δx
                  = -18∆x - 147
            W net = ∆K
            ∆K = ½ ( 5) (0 – 9,902)
               = -245,025
            -18∆x – 147 = -245,025
             ∆x = 5,4458 m
                        3
            θ =sin-1         
                     5,4458
            θ =39,43o                                                                                    (7)
                                                                                                          [15]

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                                       NSC/NSS – Memorandum

QUESTION 6/VRAAG 6

6.1.1       v = fλ
                  340
            λ=
                  520
              = 0,65 m                                                                               (2)

6.1.2             v ± vL                                Notes / Aantekeninge
            fL =         fs                            Accept/Aanvaar
                 v ± vs
                                                                 v
                    340                                fL =         f
            fL =             (520 )                           v -vs s
                 (340 - 15) 

            f L = 544 Hz
            v = fλ
                  340 
            λ=
                  544
               = 0,63m                                                                               (6)

6.2         The wavelength in QUESTION 6.1.2 is shorter because the waves are
            compressed as they approach the observer.  
            Die golflengte in VRAAG 6.1.2 is korter omdat die golwe saamgedruk word
            soos hulle die waarnemer nader.                                         (2)

6.3         The red shift occurs when the spectrum of a distant star moving away from the
            earth is shifted toward the red end of the spectrum. 
            Rooi verskuiwings vind plaas wanneer die spektrum van 'n vêr afgeleë ster wat
            vanaf die aarde wegbeweeg na die rooi ent van die spektrum skuif.             (2)
                                                                                          [12]

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                                       NSC/NSS – Memorandum

QUESTION 7/VRAAG 7

7.1         The net electrostatic force on a charged particle due to the presence of another
            charged particle is directly proportional to the product of the chargesand
            inversely proportional to the square of the distance between them (their centres)
            
            Die netto elektrostatiese krag op 'n gelaaide deeltjies as gevolg van die
            teenwoordigheid van 'n ander gelaaide deeltjie is direk eweredig aan die produk
            van die ladings en omgekeerd eweredig aan die kwadraat van die afstand
            tussen hulle (hul middelpunte)

            OR/OF
            The force of attraction or repulsion between two point charges is directly
            proportional to the product of the charges and inversely proportional to the
            square of the distance between them. 
            Die aantrekkings- of afstotingskrag tussen twee puntladings is direk eweredig
            aan die produk van die ladings en omgekeerd eweredig aan die kwadraat van
            die afstand tussen hulle.

            OR/OF
            Any two charged particles will exert an electrostatic force on each other where
            the force is directly proportional to the product of the charges and inversely
            proportional to the square of the distance between the charged particles. (their
            centres)
            Enige twee gelaaide deeltjies sal 'n elektrostatiese krag op mekaar uitoefen
            waar die krag direk eweredig is aan die produk van die ladings en omgekeerd
            eweredig is aan die kwadraat van die afstand tussen hulle (tussen hul
            middelpunte)                                                                     (2)

7.2              KQ 1Q 2
7.2.1       F=             
                    r2
                    -1   (9 × 10 9 )Q 2 
            1,44 × 10   =
                             (0,5)2
            Q = 2 x10-6 C                                                                            (4)

7.2.2       Positive marking from QUESTION 7.2.1
            Positiewe nasien vanaf VRAAG 7.2.1
            Q = ne
            2 x10-6 = n(1,6x10-19) 
            n = 1,25 x1013 electrons/elektrone                                                       (3)

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                                       NSC/NSS – Memorandum

7.3
7.3.1       Left /Links (west/wes)                                                                            (1)

7.3.2       Take right as positive/Neem regs as positief                 Notes / Aantekeninge
            E net = E A + E B 
                                                                       No. electrons should be
                       4    (9 × 10 9 )(2 × 10 -6 ) (9 × 10 9 )Q final
              (3 × 10 ) = -                        +                     removed = n f – n i
                                   (1,5)2                 (1)2           allocate the 1 mark for the
            Q final = 4,22 x 10-6 C                                     subtraction
                                                                         Aantal elektrone wat
            Q = ne                                                       verwyder moet word = n f – n i
            4,22 x10-6 = n(1,6x10-19)                                   Ken 1 punt toe vir aftrekking
            n f = 2,64 x1013 electrons/elektrone

            electrons removed/elektrone verwyder
             = (2,64 x1013 +1,25 x1013)                                                                       (8)
             = 3,89 x1013 electrons/elektrone                                                                 [18]

QUESTION 8/VRAAG 8

8.1.1       Ensure that the wires have:/Maak seker dat die drade
            The same length/dieselfde lengte het.
            The same thickness/cross-sectional area/dieselfde                      dikte/deursnit-area/
            oppervlakte het                                                                                   (2)

8.1.2       Wire A (Resistor A)/Draad A 
                 ΔV
            R=        
                  ΔI                Accept any correct coordinates chosen from the graph
                   4,4              Aanvaar enige korrekte koördinate van die grafiek
  -         RA =        = 11 Ω gekies.
                   0,4
                   2,2
            RB =        = 5,5 Ω
                   0,4
            E = I2 R∆t

            For the same time and current, the heating in A will be higher because its
            resistance is higher than that of B. 
            Vir dieselfde tyd en stroom, sal die verwarming in A hoër wees omdat sy
            weerstand groter is as die van B.

            ACCEPT/AANVAAR: P = I2R
            For the same current, the heat produced per unit time in A will be higher
            because its resistance is higher than that of B. 
            Vir dieselfde stroom, sal die hitte vrygestel per eenheidstyd in A hoër wees
            omdat sy weerstand groter is as die van B.                                   (8)

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Physical Sciences P1/Fisiese Wetenskappe V1   15                 DBE/ Feb.–Mar./Feb.–Mrt. 2015
                                       NSC/NSS – Memorandum

8.2.1    OPTION 1/OPSIE 1                           OPTION 2/OPSIE 2
         I 5,5Ω : I 11Ω                             V = IR
         2:1                                        V 11 Ω = 0,2 x 11
         I 5,5Ω = (0,2)(2)                                =2,2 V
                = 0,4 A                            V 5,5 = V 11 = 2,2 V
                                                             2,2
                                                    I 5,5 =
                                                             5,5
                                                         = 0,4 A                                   (3)

8.2.2    OPTION 1/OPSIE 1                            Notes / Aantekeninge
         V = IR                                      Accept/Aanvaar
         I tot = (0,4 + 0,2)                                         R1R 2
                                                              RP =            
             = 0,6 A                                                 R1 + R 2
            1     1    1
               =     +    + ...
          R p R1 R 2                                                 11× 5,5
                                                                =            
          1  1  1                                                    11+ 5,5
            = +              
         Rp 11 5,5                                              = 3,67 Ω
         R P = 3,67 Ω
         RT = RP + RA
         = 3,67 + 11
         =14,67Ω
         ε = I(R + r) 
         9 = 0,6(14,67 +r) 
         r = 0,33 Ω                                                                                (7)

         OPTION 2/OPSIE 2
         I tot = (0,4 + 0,2) 
         = 0,6 A
         V ext = V 11 Ω + V // 
                = [I tot (R 11 ) + 2,2]
                = 0,6 (11)  + 2,2
                = 8,8V
         ε = V ext + I tot (r) 
         9 = 8,8 + 0,6r
         r = 0,33 Ω                                                                                (7)

8.2.3    Decrease/Afneem 
         The total resistance increases / Die totale weerstand neem toe                            (2)
                                                                                                    [22]

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Physical Sciences P1/Fisiese Wetenskappe V1   16                   DBE/ Feb.–Mar./Feb.–Mrt. 2015
                                       NSC/NSS – Memorandum

QUESTION 9/VRAAG 9

9.1.1       OPTION 1/OPSIE 1                    Notes / Aantekeninge
                   V 2 rms                      Assume correct formula for V rms and give a
            P av =                             mark if the substitution is correct1 mark
                     R                          Aanvaar die korrekte formule vir V wgk en ken 'n
                               2
                     340                     punt toe indien die vervanging korrek is.
                        
            100 =     2 
                       R           
            R = 578 Ω

            OPTION 2/OPSIE 2
                     Vmax       340
             V rms =          =     = 240,04
                          2       2
                     V 2 rms
            P ave =          
                       R
                      240,04 2
            100 =               
                            R
             R = 578 Ω 
                                                                                                      (5)

9.1.2       OPTION 1/OPSIE 1                    OPTION 2/OPSIE 2
            P av = I rms V rms                 V rms = Irms R
                           340                   340
            100 = I rms                              = I rms (578) 
                             2                     2
                      100                       I rms = 0,417 A
            I rms =
                      340
                     2
                = 0,417 A                                                                            (3)

9.2         Can be stepped up or down/ can be transmitted with less power loss.
            Kan verhoog of verlaag word/ kan versend word met minder energie verlies.                 (1)
                                                                                                      [9]

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    Physical Sciences P1/Fisiese Wetenskappe V1   17                    DBE/Feb.–Mar./Feb.–Mrt. 2015
                                           NSC/NSS – Memorandum

    QUESTION 10/VRAAG 10

    10.1     The minimum energy needed to emit an electron  from (the surface of) a
             metal. 
             Die minimum energie benodig om 'n elektron uit die (oppervlak van) 'n metaal
             vry te stel.                                                                 (2)

    10.2               1      2
             E = W0 + mv max
                       2                      Any ONE OF/ENIGE EEN van
               c         1      2
             h = W0 + mv max
               λ         2
             (6,63 × 10 −34 )(3 × 10 8 )    
                                         = (3,36 × 10 −19 ) + 2,32 × 10 −19 
                       (λ )
             λ = 3,50 x 10-7 m                                                                        (4)

    10.3     POSITIVE MARKING FROM QUESTION 10.2
             POSITIEWE NASIEN VANAF VRAAG 10.2
                       1
             E = W0 + mv max  2
                       2
             OR/OF
               c          1
             h = W0 + mv max     2
               λ          2                                        
             (6,63 × 10 -34 )(3 × 10 8 )
                                         = (3,65 × 10 -19 ) + E k
                  (3,50 × 10 )-7
                                                
                               -19
             E = 2,03 x 10 J                                                                          (4)

    10.4.1   Increasing the intensity does not change the energy/ frequency/wavelength of
             the incident photons/The energy of a photon remains unchanged (for the same
             frequency).
             Verhoging van die intensiteit, verander nie die energie/frekwensie/golflengte van
             die invallende fotone nie/Die energie van die foton bly onveranderd (vir dieselfde
             frekwensie).                                                                       (1)

    10.4.2   Increases./Neem toe                                                                      (1)
-
    10.4.3   More photons (packets of energy) strike the surface of the metal per unit
             time hence more (photo) electrons ejected per unit time (leading to
             increased current).
             Meer fotone (energie pakkies) tref die oppervlakte van die metaal per
             eenheidstyd, gevolglik word meer (foto)elektrone per eenheidstyd vrygestel (wat (2)
             lei tot 'n verhoogde stroom).                                                   [14]

                                                                                TOTAL/TOTAAL: 150

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