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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
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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.
Physical Sciences · Grade 12 · NSC Supplementary Exam · 2015. Memorandum, 17 pages. Read online or download the PDF.
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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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Physical Sciences P1/Fisiese Wetenskappe V1 11 DBE/ Feb.–Mar./Feb.–Mrt. 2015
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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Physical Sciences P1/Fisiese Wetenskappe V1 12 DBE/ Feb.–Mar./Feb.–Mrt. 2015
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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Physical Sciences P1/Fisiese Wetenskappe V1 13 DBE/ Feb.–Mar./Feb.–Mrt. 2015
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 chargesand
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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Physical Sciences P1/Fisiese Wetenskappe V1 14 DBE/ Feb.–Mar./Feb.–Mrt. 2015
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)
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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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