# Physical Sciences Grade 12 Paper 1 NSC November 2013 Memo

> Grade 12 Physical Sciences Paper 1 memorandum from the NSC November Exam 2013, 16 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: 2013
- Exam period: NSC November Exam
- Paper: 1
- Curriculum: CAPS
- Pages: 16

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                                      NATIONAL
                                 SENIOR CERTIFICATE
                                     NASIONALE
                                 SENIOR SERTIFIKAAT

                                   GRADE/GRAAD 12

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

                                        NOVEMBER 2013

                                        MEMORANDUM

MARKS/PUNTE: 150

                        This memorandum consists of 16 pages.
                      Hierdie memorandum bestaan uit 16 bladsye.

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Physical Sciences P1/Fisiese Wetenskappe V1    2                      DBE/November 2013
                                     NSC/NSS – Memorandum

SECTION A

QUESTION 1/VRAAG 1

1.1       Acceleration / Versnelling                                                     (1)

1.2       Wavelength / Golflengte                                                        (1)

1.3       Electric field / Elektriese veld                                               (1)

1.4       Gamma / 𝛾 (rays) / Gamma / 𝛾 (strale)                                          (1)

1.5       Threshold (frequency) / Drumpel(frekwensie)                                    (1)
                                                                                          [5]

QUESTION 2/VRAAG 2

2.1       B                                                                             (2)

2.2       B                                                                             (2)

2.3       C                                                                             (2)

2.4       D                                                                             (2)

2.5       C                                                                             (2)

2.6       C                                                                             (2)

2.7       D                                                                             (2)

2.8       B                                                                             (2)

2.9       D                                                                             (2)

2.10      B                                                                              (2)
                                                                                          [20]

                                               TOTAL SECTION A/TOTAAL AFDELING A:         25

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Physical Sciences P1/Fisiese Wetenskappe V1    3                              DBE/November 2013
                                     NSC/NSS – Memorandum

SECTION B/AFDELING B
QUESTION 3/VRAAG 3
3.1       15 m∙s-1                                                                                    (1)
3.2       OPTION 1/OPSIE 1
          Inelastic 
      -   The speed/velocity at which the ball leaves the floor is less / different than that
          at which it strikes the floor. OR The speed/velocity of the ball changes during
          the collision. 
          Therefore the kinetic energy changes/is not conserved. 
          Onelasties
          Die spoed/snelheid waarteen die bal die vloer verlaat is kleiner / verskillend
          as dit waarteen dit die vloer tref. OF Die spoed / snelheid van die bal verander
          gedurende die botsing.
          Die kinetiese energie verander/bly nie behoue nie.
          OPTION 2/OPSIE 2                         OPTION 3/OPSIE 3
          Collision is inelastic.                 Collision is inelastic.
      -   Botsing is onelasties               -    Botsing is onelasties. 
                        2       2
          ∆K = ½mv f - ½mv i                       K f = ½mv 2f
               = ½(0,15)(15)2 - ½(0,15)(20)2          = ½(0,15)(15)2
               = - 13,13 J                             = 16,88 J                  
          K i ≠ K f / ∆K ≠ 0                      K i = ½mv i2
          .                                            = ½(0,15)(20)2
                                                       = 30 J
                                                   K f ≠ K 1 / ∆K ≠ 0                                 (3)

3.3       OPTION 1/OPSIE 1
          v f 2 = vi2 + 2aΔy
          (20)2 = (10)2 + 2(9,8)Δy 
          ∴ Δy = 15,31 m 
          OPTION 2/OPSIE 2
          W net = ΔK 
          F net Δycos θ = ½ m(v f 2 – v i 2)
          m(9,8)Δycos0°  = ½ m(202 – 102) 
          Δy = 15,31 m 
          OPTION 3/OPSIE 3
          (E p + E k ) top = (E p + E k ) bottom   any one/enige een
          (mgh + ½ mv2) top = (mgh + ½ mv2) bottom
          m(9,8)h + ½m(10)2 = m(9,8)(0) + ½m(20)2 
          h = 15,31 m
          OPTION 4/OPSIE 4
          v f = v i + aΔt
          20 = 10 + (9,8)(Δt)                    
          ∴ Δt = 1,02 s

          Δy = v i Δt + ½aΔt2
             = (10)(1,02)  + ½(9,8)(1,02)2 
          ∴ Δy = 15,3 m 
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Physical Sciences P1/Fisiese Wetenskappe V1    4                         DBE/November 2013
                                     NSC/NSS – Memorandum

          OPTION 5/OPSIE 5
          v f = v i + aΔt
          20 = 10 + (9,8)(Δt)                         
          ∴ Δt = 1,02 s

                  v + vf 
          Δy =  i         Δt
                  2 
                  10 + 20 
          Δy =             (1,02) 
                  2 
          ∴ Δy = 15,3 m 
          OPTION 6/OPSIE 6
          v f = v i + aΔt
          20 = 10 + (9,8)(Δt)                    
          ∴ Δt = 1,02 s

          Height = area between graph & t axis
          Hoogte = opperv. tussen grafiek & t-as
                     = ½(sum ║ sides) h⊥
                     = ½(10 + 20) 1,02 
                    = 15,3 m
                    = 15,3 m 
          OPTION 7/OPSIE 7
          v f = v i + aΔt
                                                  
          20 = 10 + (9,8)(Δt)
          ∴ Δt = 1,02 s

          Height = area between graph & t axis
          Hoogte = opperv. tussen grafiek & t-as
                   = lb + ½bh = ½(10 + 20)1,02
                   = (1,02)(10)  + ½(1,02)(10) 
                   = 15,3 m 
          OPTION 8/OPSIE 8
          F net = ma
                    v 2f − v i2 
          mg = m                
                       2 ∆x      
                                  20 2 − 10 2 
          (0,15)(9,8)  =(0,15)               
                                  2∆x 
          Δx = 15,31 m                                                                           (4)
3.3.2     Fnet ∆t = ∆p
          Fnet ∆t = mv f − mv i Any one/Enige een
          Δp = mv f - mv i
               = 0,15(-15 – 20) 
               = - 5,25 N∙s (or - 5,25 kg∙m∙s-1)
          Magnitude/Grootte = 5,25 N∙s or 5,25 kg∙m∙s-1                                          (3)

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Physical Sciences P1/Fisiese Wetenskappe V1    5                         DBE/November 2013
                                     NSC/NSS – Memorandum

3.3.3     OPTION 1 / OPSIE 1
          Displacement from floor to max. height/ Verplasing van vloer na maks.
          hoogte:
          v f 2 = v i 2 + 2aΔy
          (0)2 = (-15)2 + 2(9,8)Δy 
          ∴ Δy = - 11,48 m

          Total displacement / Totale verplasing
            = - 11,48 + 15,3 
            = 3,82 m  / 3,83 m
          OPTION 2 / OPSIE 2
          v f = v i + aΔt
          0 = -15 + (9,8)Δt
          Δt = 1,53 s                    

          Δy = v i Δt + ½ aΔt2
             = (-15)(1,53) + ½ (9,8)(1,53)2 
             = -11,48 m

          Total displacement / Totale verplasing
           = - 11,48 + 15,3 
           = 3,82 m 
          OPTION 3 / OPSIE 3
          v f = v i + aΔt
          0 = -15 + (9,8)Δt
          Δt = 1,53 s                       
                  v + vi 
          Δy =  f           Δt
                  2 
                    0 + ( −15) 
               =               (1,53) 
                         2     
               = -11,48 m

          Total displacement / Totale verplasing
            = - 11,48 + 15,3 
            = 3,82 m 
          OPTION 4 / OPSIE 4
          v f = v i + aΔt
          0 = -15 + (9,8)Δt
          Δt = 1,53 s                   

          Area = ½ bh
               = ½ (1,53)(-15) 
               = -11,48 m

          Total displacement / Totale verplasing
           = - 11,48 + 15,3 
           = 3,82 m 

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Physical Sciences P1/Fisiese Wetenskappe V1    6                                         DBE/November 2013
                                     NSC/NSS – Memorandum

               OPTION 5 / OPSIE 5
               E M(initial) = E M(final)
               (E p + E k ) initial = (E p + E k ) final   Any one /Enige een
               (mgh + ½ mv2) initial = (mgh + ½ mv2) final
               (0,15)(9,8)(0) + ½ (0,15)(15)2 = (0,15)(9,8)h + ½ (0,15)(0)2 
               h = 11,48 m
               Total displacement / Totale verplasing
                = 15,31 - 11,48  = 3,83 m 
               OPTION 6/OPSIE 6
               W net = ΔK 
               F net Δycos θ = ½ m(v f 2 – v i 2)
               m(9,8)Δycos180° = ½ m(02 – 152) 
               Δy = 11,48 m
               Total displacement / Totale verplasing
                = 15,31 - 11,48 
                = 3,83 m 
               OPTION 7/OPSIE 7
               F net = ma
                         v 2 − v i2 
               mg = m  f            
                         2∆x 
                                     0 2 − ( −15)2 
               (0,15)(9,8) =(0,15)                 
                                          2∆x       
               Δx = -11,48 m
               Total displacement / Totale verplasing
                = 15,31 - 11,48 
                = 3,83 m                                                                                         (4)
3.4

               0                        t time/tyd (s)                                              t time/tyd (s)
                                                                            0

position (m)                                        OR/OF    position (m)

posisie (m)                                                  posisie (m)
           -15,3                                                        -15,3

               Marking criteria for graph:/Nasienriglyne vir grafiek:
               Correct shape as shown for first part./Korrekte vorm soos aangetoon vir eerste deel.         
               Correct shape as shown for the second part up to t / 2,55 s.
                                                                                                            
               Korrekte vorm soos aangetoon vir tweede deel t / 2,55 s.
               Graph starts at -15,3 m at t = 0 s./Grafiek begin by -15,3 m by t = 0 s.                     
               Maximum height after bounce at time t / 2,55 s./Maksimum hoogte na bons by tyd t./
               2,55 s.
                                                                                                            
               Maximum height after bounce less than 15,3 m./Maksimum hoogte na bons kleiner
               as 15,3 m.

                                                                                                                   (4)
                                                                                                                  [19]

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Physical Sciences P1/Fisiese Wetenskappe V1    7                                           DBE/November 2013
                                     NSC/NSS – Memorandum

QUESTION 4/VRAAG 4
4.1         West / Wes                                                                                           (1)
4.2         (Newton's) Third Law (of Motion) 
        - When object A exerts a force on object B,
            object B exerts a force equal in magnitude on object A, but opposite in
            direction. 
            (Newton) se Derde (Bewegings)wet
        -   Wanneer voorwerp A 'n krag op voorwerp B uitoefen,
            oefen voorwerp B 'n krag van gelyke grootte op voorwerp A, maar in die
            teenoorgestelde rigting.                                                                              (3)

4.3         OPTION 1/ OPSIE 1                                 OPTION 2/OPSIE 2
            East as positive/Oos as positief:                 East as positive/Oos as positief:
            Σp i = Σp f                                      ∆p A = -∆p B 
            0  = (60)v f + (5)(4)                           (60)v f – 0 = -[(5)(4) – 0] 
            ∴ v f = - 0,33                                   ∴ v f = - 0,33 
            ∴ v f = 0,33 m·s    -1
                                                              ∴ v f = 0,33 m·s-1

            West as positive/Wes as positief:                 West as positive/Wes as positief:
            Σp i = Σp f                                      ∆p A = -∆p B 
            0  = (60)v f + (5)(-4)                          (60)v f – 0 = -[(5)(-4) – 0] 
            ∴ v f = 0,33 m·s-1                              ∴ v f = 0,33 m·s-1

            OPTION 3/ OPSIE 3                                 OPTION 4/ OPSIE 4
            East as positive/Oos as positief                  West as positive/Wes as positief
            F BP = - F PB                                    F BP = - F PB 
            m BaB = - mPaP                                    m BaB = - mPaP
            m B  v Bf − v Bi  = - m P  v Pf − v Pi    m B  v Bf − v Bi  = - m P  v Pf − v Pi 
                  ∆t                      ∆t                    ∆t                      ∆t 
            (60)  v Bf − 0  = - (5)  4 − 0          (60)  v Bf − 0  = - (5)  − 4 − 0  
                    ∆t                       ∆t                   ∆t                       ∆t 
            v Bi = - 0,33 m∙s-1                              v Bi = 0,33 m∙s-1
                 = 0,33 m∙s-1                                                                                    (5)

4.4
4.4.1       Increases / Verhoog                                                                                  (1)

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Physical Sciences P1/Fisiese Wetenskappe V1    8                                   DBE/November 2013
                                     NSC/NSS – Memorandum

4.4.2       Increases / Verhoog 
        -   • ∆p package increases, thus ∆p boy increases. 
               ∆p pakkie vermeerder, dus ∆p seun vermeerder.
            • For the same mass of boy, v will be greater. 
               Vir dieselfde massa van die seun sal v groter wees.
            OR/OF
            Increases / Verhoog
      -     From the equation in QUESTION 4.3: -m A v Af = m B v Bf
            Vanaf die vegelyking in VRAAG 4.3: -m A v Af = m B v Bf
            • If mass of package/B doubles/increases, the momentum of the boy / A
               doubles / increases.
               Indien die massa van pakkie / B verdubbel / toeneem, verdubbel /
               vermeerder die momentum van die seun / A
             • For same mass of boy / A, the velocity of boy / A doubles/increases.
               Vir dieselfde massa van die seun / A, verdubbel/vermeerder die snelheid
               van die seun /A.
            OR/OF
            Increases / Verhoog 
      -     -m B v Bf = m p v pf
                   − mp v pf
            vB =              for same m B , if m P doubles,  then v B doubles
                      mB                                                                                   (3)
                                                                                                          [13]

QUESTION 5/VRAAG 5
5.1         The total mechanical energy remains constant / is conserved 
            in a closed / isolated system / in absence of external forces /non-conservative
            forces. 
            Die totale meganiese energie in bly konstant / bly behoue
            in 'n geslote / geïsoleerde sisteem /in afwesigheid van eksterne kragte /nie-
            konserwatiewe kragte.
            OR/OF
            The sum of the potential and kinetic energy of a system remains constant 
            in a closed/isolated system. 
            Die som van die potensiële en kinetiese energie van 'n sisteem bly konstant
            in 'n geslote / geïsoleerde sisteem.

            OR/OF
            When the work done on an object by the non-conservative forces is zero,
            the total mechanical energy is conserved. 
            Wanneer die arbeid deur die nie-konserwatiewe kragte op ‘n voorwerp verrig
            nul is, bly die totale meganiese energie behoue.                                              (2)

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Physical Sciences P1/Fisiese Wetenskappe V1    9                               DBE/November 2013
                                     NSC/NSS – Memorandum

5.2       OPTION 1/OPSIE 1
          E mechanical at X = E mechanical at Y
          (E p + E k ) X = (E p + E k ) Y       Any one/Enige een
          (mgh + ½ mv2) X = (mgh + ½ mv2) Y
          5(9,8)(5) + ½(5)(02)= (5)(9,8)(1) + ½(5)v f 2 
          v = 8,85 m∙s-1 

          OPTION 2/OPSIE 2
          E mechanical at X = E mechanical at Y
          (E p + E k ) X = (E p + E k ) Y          Any one/Enige een
                            2                   2
          (mgh + ½ mv ) X = (mgh + ½ mv ) Y
          5(9,8)(4) + ½(5)(02)= (5)(9,8)(0) + ½(5)v f 2 
          v = 8,85 m∙s-1 
                                                                                                        (4)

5.3       Weight / gravitational (force) / (force of) gravity 
          Gewig / Gravitasie(krag)
          Normal force / Normaalkrag                                                                   (2)

5.4       Z to/na Y                                                                                    (1)

5.5       OPTION 1/OPSIE 1
          W net = ΔK 
          W w + W f = ½m(v f 2 – v i 2)
          mgΔycos0° + f∆xcos180° = ½ m(v f 2 – v i 2)
          (5)(9,8)(1)(1)  + (10)∆x(-1)  = ½(5)(42 – 8,852) 
          Δx = 20,48 m 
          OPTION 2/OPSIE 2
          W net = ΔK 
          W w + W f = ½m(v f 2 – v i 2)
          -ΔE p + W f = ½m(v f 2 – v i 2)
          -(0 – mgh) + f∆xcos180° = ½ m(v f 2 – v i 2)
          (5)(9,8)(1)  + (10)∆x(-1)  = ½(5)(42 – 8,852) 
          Δx = 20,48 m 
          OPTION 3/OPSIE 3
          W net = ΔK 
          W w + W f = ½m(v f 2 – v i 2)
          -ΔE p + W f = ½m(v f 2 – v i 2)
          -(0 – mgh) + f∆xcos180° = ½ m(v f 2 – v i 2)
          (5)(9,8)(5)  + (10)∆x(-1)  = ½(5)(42 – 02) 
          Δx = 20,48 m 
          OPTION 4/OPSIE 4
          W net = ΔK 
          W w + W f = ½m(v f 2 – v i 2)
          mgΔxcos(90o – θ) + f∆xcos180° = ½ m(v f 2 – v i 2)
          mgΔxsinθ + f∆xcos180° = ½ m(v f 2 – v i 2)
                  1 
          mgΔx   + f∆xcos180° = ½ m(v f 2 – v i 2)
                  ∆x 
          (5)(9,8)  + (10)∆x(-1)  = ½(5)(42 – 8,852) 
          Δx = 20,48 m 
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Physical Sciences P1/Fisiese Wetenskappe V1   10                          DBE/November 2013
                                     NSC/NSS – Memorandum

          OPTION 5/OPSIE 5
          W net = ΔK 
          W w|| + W f = ½m(v f 2 – v i 2)
          mgsinθΔxcosθ + f∆xcosθ = ½ m(v f 2 – v i 2)
                1 
          mg   Δxcos0°+ f∆xcos180° = ½ m(v f 2 – v i 2)
                ∆x 
          (5)(9,8)  + (10)∆x(-1)  = ½(5)(42 – 8,852) 
          Δx = 20,48 m 
          OPTION 6/OPSIE 6
          W net = ΔK 
          F net Δxcosθ = ½m(v f 2 – v i 2)
          (10 - 49sinθ)Δxcos180° = ½ m(v f 2 – v i 2)
                     1 
          (10 - 49   )Δxcos180° = ½ m(v f 2 – v i 2)
                     ∆x 
          (10Δx – 49)(-1) = ½(5)(42 – 8,852) 
          Δx = 20,48 m
          OPTION 7/OPSIE 7
          W nc = ΔE p + ΔE k 
          f∆xcosθ = (mgh f – mgh i ) + ( ½ mv f 2 – ½ mv i 2)
          (10)Δxcos180° = [0 – (5)(9,8)(1)]  + [ ½ (5)(4)4 – ½ (5)(8,85)2
          Δx = 20,48 m                                                                            (5)

5.6       Equal to / Gelyk aan                                                                     (1)
                                                                                                   [15]

QUESTION 6/VRAAG 6

6.1       Doppler flow meter / Dopplervloeimeter                                                  (1)

6.2           v ± vL
          fL =        fs 
              v ± vs
                         v
          985  =              (954,3) 
                    (v - 10,6)
          v = 340,1 m∙s-1                                                                         (5)

6.3       Decreases / Afneem                                                                      (1)
6.4
      - For a constant velocity of sound / speed 
          if the frequency increases, λ decreases. 
          Vir 'n konstante snelheid van klank /spoed,
          as die frekwensie toeneem neem λ af.
          OR/OF
              1      1
           λ α or f α  at constant velocity/speed / by konstante snelheid/spoed.. 
              f      λ                                                                             (2)
                                                                                                   [9]

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Physical Sciences P1/Fisiese Wetenskappe V1   11                                DBE/November 2013
                                     NSC/NSS – Memorandum

QUESTION 7/VRAAG 7
7.1         The bending of waves around obstacles / corners / through an opening /
            aperture 
            Die buiging van golwe om versperrings / hoeke / deur 'n opening.
            OR/OF
            The spreading of waves around the edge of a barrier/through an
            opening/aperture.
            Die uitspreiding van golwe om die kant van 'n versperring/deur 'n opening.                   (2)
7.2         P                                                                                           (1)

7.3
7.3.1       Broadness of the central bright band / diffraction pattern / angle of diffraction /
            degree of diffraction / sin θ / position of the first minimum 
            Breedte van die sentrale helderband / diffraksiepatroon/hoek van diffraksie /
            mate van diffraksie / sin θ / posisie van die eerste minimum                                 (1)

7.3.2
            Criteria for investigative question/Kriteria vir ondersoekende vraag:
            Dependent and independent variables correctly identified.
                                                                                  
        -   Afhanklike en onafhanklike veranderlikes korrek geïdentifiseer.
            Question about the relationship between the independent and dependent
            variables correctly formulated.
                                                                                  
            Vraag oor die verwantskap tussen die afhanklike en onafhanklike
            veranderlikes korrek geformuleer.
            Example/Voorbeeld:
            What is the relationship between the broadness of the central band and the
            wavelength (of light used)?
            Wat is die verwantskap tussen die breedte van die sentrale band en die
            golflengte (van die lig)?                                                                    (2)

7.4         OPTION 1/OPSIE 1                          OPTION 2/OPSIE 2
                    mλ                                        mλ
            sin θ =                                  sin θ =     
                     a                                          a
                                                                      
                    (2)( 410 × 10 -9 )                        ( −2)( 410 × 10 -9 )
            sin θ =                                   sin θ =
                        5 × 10 -6                                 5 × 10 -6 
            ∴ θ = 9,44°  or 9,21°                    ∴ θ = - 9,44°  or - 9,21°
                                                                                                         (5)

7.5         Light (bright) and dark bands.
            Light /dark bands of equal width. 
            Lig (helder) en donker bande eweredig gespasieer.
            Helder / donker bande van gelyke breedte /wydte.                                              (2)
                                                                                                         [13]

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Physical Sciences P1/Fisiese Wetenskappe V1   12                               DBE/November 2013
                                     NSC/NSS – Memorandum

QUESTION 8/VRAAG 8

8.1

                                  Criteria for sketch:/Kriteria vir skets:
                                  Correct shape - field lines radially around charge.
                                                                                            
                                  Korrekte vorm – veldlyne radiaal uitwaarts.
                                  Direction of field lines away from charge.
                                                                                            
                                  Rigting van veldlyne weg van lading af.

                                                                                                       (2)

8.2       Non-uniform / Nie-uniform                                                                   (1)

8.3            kQ
          E=       
               r2
              (9 × 109 )(16 × 10 −6 ) 
            =
                     (0,12)2
            = 1 x 107 N∙C-1  east/oos                                                                (5)

8.4       Positive / Positief                                                                         (1)

8.5       West: positive                          West: negative
          E A + E B = E net                       E A + E B = E net
          -1 x 107 + E B = 1 x 107              1 x 107 + E B = -1 x 107
          ∴ E B = 2 x 107 N∙C-1                   ∴ E B = - 2 x 107 N∙C-1
                                                        = 2 x 107 N∙C-1
                 kQB                                    kQ
          EB =                                    EB = 2 B
                  r2                                     r
                        (9 × 109 )QB                            (9 × 109 )QB
          ∴2 x 107 =                            ∴2 x 107 =                
                          (0,23)2                                 (0,23)2
          ∴ Q B = 1,18x 10-4 C                   ∴ Q B = 1,18x 10-4 C 
                                            (5)                                             (5)         (5)
                                                                                                       [14]

QUESTION 9/VRAAG 9

9.1       12 J of energy are transferred to / work done on 
          each coulomb (of charge) / per C charge  passing through the battery.
          12 J energie word oorgedra aan / arbeid word verrig op
          elke coulomb (lading) / per C lading wat deur die battery beweeg.                            (2)

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Physical Sciences P1/Fisiese Wetenskappe V1   13                                    DBE/November 2013
                                     NSC/NSS – Memorandum

9.2       OPTION 1/OPSIE 1
          P = I2R 
          5 = I2(5) 
           ∴I = 1 A 
          OPTION 2/OPSIE 2                               OPTION 3/OPSIE 3
               V2                                           V2
          P=                                             P=
                R                                            R
               V2                                           V2
          5=                                            5=               
                5                                            5
          V=5V                                           V=5V

          P = VI                                         V = IR
          5 = (5)I                                      5 = I(5) 
          I = 1 A                                       I = 1 A                                           (3)

9.3      OPTION 1 / OPSIE 1             OPTION 2 / OPSIE 2                  OPTION 3/OPSIE 3

         Emf = I(R + r)                Emf = I(R + r)                     V = I RT 
         12 = (1)(R + 1)               12 = (1)(R p + 5 + 1)             12 = (1)R
         R = 11 Ω                       ∴ Rp = 6 Ω                          R T = 12 Ω

         R p = 11 – 5 = 6 Ω                                                R p = R T – (5 + 1)
                                                                                = 12 – 6 
                                                                                =6Ω

             1   1   1   1 1        1      1    1
               =   +   ∴   = +           ∴   =       ∴12 = 4 + R x ∴R x = 8 Ω
            R p R12 R    6  12 4 + R X 12 4 + R X

         OR/OF

                          
               ( 4 + R X )(12)        ( 4 + R X )(12)    ( 4 + R X )(12)
         Rp =                  ∴ Rp =                 ∴ 6=                ∴ Rx = 8 Ω 
                4 + R X + 12           4 + R X + 12        4 + R X + 12
         OPTION 4/OPSIE 4
         V 5Ω = IR                   V parallel = IR                   V = IR
             = (1)(5)                 6 = I(12)                        6 = (0,5)(4 + R x ) 
             =5V                      ∴I = 0,5 A                        ∴R = 8 Ω 
                                                                                x

         V internal = Ir                I Rx = 1 – 0,5
                  = (1)(1)                   = 0,5 A
                  =1V

         V parallel = 12– (1 + 5) 
                    =6V                                                                                     (7)

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Physical Sciences P1/Fisiese Wetenskappe V1   14                            DBE/November 2013
                                     NSC/NSS – Memorandum

9.4        No / Nee 
       -
           Total resistance (R) increases. / Totale weerstand (R) neem toe.
           Current (I) decreases / Stroom (I) neem af. 
           (For a constant R) power (P = I 2R) decreases.
           (Vir konstante R) drywing (P = I 2R) verminder.                                            (4)
                                                                                                     [16]

QUESTION 10/VRAAG 10

10.1
10.1.1     slip rings / sleepringe                                                                  (1)

10.1.2     brush(es) / borsel(s)                                                                    (1)

10.2       Maintains electrical contact with the slip rings.
           Handhaaf elektriese kontak met die sleepringe.

           OR/OF
           To take current out/in of the coil.
           Om die stroom uit/in die spoel te neem.                                                   (1)

10.3       Mechanical /kinetic energy to electrical energy. 
           Meganiese / kinetiese energie na elektriese energie.                                      (1)

10.4       1½                                                                                       (1)

10.5       OPTION 1/ OPSIE 1
               1
           f=     
              T
                 1
            =       
              0,02
            = 50 Hz 
                                                                                          (3)
           OPTION 2/ OPSIE 2
              number of cycles
           f=                    
                    time
               1,5         1        0,5
            =      or/of      or/of      
              0,03       0,02       0,01
            = 50 Hz 
                                                                                          (3)
                                                                                                     (3)

10.6       Parallel to / Parallel aan                                                               (1)

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Physical Sciences P1/Fisiese Wetenskappe V1   15                            DBE/November 2013
                                     NSC/NSS – Memorandum

10.7      OPTION 1/ OPSIE 1
          P ave = V rms Irms 
                   V  I 
               =  max   max   (1 mark for both formulae / 1 punt vir beide formules)
                   2  2
                   311   21,21 
               =              
                   2  2 
               = 3 298,16 W  (Accept range / Aanvaar gebied: 3298,13 – 3299,18 W)
          OPTION 2/ OPSIE 2                OPTION 3 / OPSIE 3
                   VmaxImax                          V    311
          P ave =                        V rms = max =       = 219,91 V
                      2                                2     2
                   (311)(21.21)               
                =               
                          2                        I     21,21
               = 3298,16 W                I rms = max =       = 14,998 A
                                                     2      2

                                          P ave = V rms I rms 
                                                = (219,91)(14,998)
                                                = 3 298,21 W 
          OPTION 4/ OPSIE 4               OPTION 6/OPSIE 6
                V                                V
          R = max                         R = max
                Imax                             Imax
                 311                              311
             =                               =
                21,21                            21,21             
             = 14,66 Ω                        = 14,66 Ω
                     Vmax   311                    I        21,21
          V rms =         =     = 219,91 I rms = max =           = 14,998 A
                       2     2                        2        2
          V
                                                     2
                   V2                     P ave = Irms  R
          P ave = rms 
                     R                          = (14,998)2(14,66) 
                  (219,91)2                     = 3 297,62 W
               =            
                     14,66
               = 3 298,8 W                                                                           (5)
                                                                                                     [14]

QUESTION 11/VRAAG 11

11.1
11.1.1    Photo-electric effect / Foto-elektriese effek                                             (1)

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Physical Sciences P1/Fisiese Wetenskappe V1   16                             DBE/November 2013
                                     NSC/NSS – Memorandum

11.1.2     OPTION 1/OPSIE 1
           E = W 0 + Ek
           hf = hf 0 + E k            Any one/Enige een
           hc
               = W 0 + ½mv2
            λ
           (6,63 × 10 -34 )(3 x10 8 )           -19             -31 2
                                       = 8 x 10  + ½(9,11 x 10 )v 
                200 × 10 -9
           v= 6,53 x 105 m∙s-1  (653454,89 m∙s-1)
           OPTION 2 / OPSIE 2

           c = fλ
           3 x 108 = f(200 x 10-9)
           f = 1,5 x 1015 Hz
           hf = hf 0 + E k 
           (6,63 x 10-34)(1,5 x 1015) = 8 x 10-19  + ½(9,11 x 10-31)v2 
           v= 6,53 x 105 m∙s-1                                                                  (5)
11.1.3     Increases / Vermeerder                                                               (1)
11.1.4     Remains the same / Bly dieselfde 
       -   Intensity only affects number of photoelectrons emitted per second. 
           Intensiteit beïnvloed slegs die getal foto-elektrone vrygestel per sekonde.
           OR/OF
           Remains the same / Bly dieselfde 
       -   The kinetic energy of the emitted photoelectrons remains the same.
           Die kinetiese energie van die vrygestelde foto-elektrone bly dieselfde.
           OR/OF
           Remains the same / Bly dieselfde 
           Only the frequency/wavelength of the incident light affects the maximum
       -   kinetic energy.
           Slegs the frekwensie/golflengte van die invallende lig beïnvloed die
           maksimum kinetiese energie.                                                           (2)
11.2       B
           Orange light has a higher frequency than red light. 
           Oranje lig het 'n hoër frekwensie as rooi lig.

           OR/OF
           Orange light has smaller wavelength than red light.
           Oranje lig het 'n kleiner golflengte as rooi lig.                                     (2)
11.3       Line emission (spectra) / Lyn emissie(spektrum)                                       (1)
                                                                                                 [12]
                                              TOTAL SECTION B/TOTAAL AFDELING B:                 125
                                                     GRAND TOTAL/GROOTTOTAAL:                    150

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