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2014 HKDSE
Physics Paper 1A
Suggested Solution
Prepared by C.M. Wong
@Tutor360HK <HKCEE & HKALE A in Physics>
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2014 HKDSE Physics Paper 1A Suggested Solution
1. D 2. A 3. C 4. A 5. B
6. D 7. C 8. C 9. B 10. B
11. B 12. B 13. B 14. A 15. C
16. A 17. B 18. C 19. A 20. C
21. D 22. D 23. B 24. C 25. D
26. A 27. D 28. D 29. B 30. B
31. D 32. A 33. C
2014 HKDSE Physics Paper 1A Question Analysis
Number of MCQ Percentage
I. Heat & Gas 2 6.1%
II. Force & Motion 10 30.3%
III. Wave Motion 7 21.2%
IV. Electricity & Magnetism 11 33.3%
V. Radioactivity & Nuclear Energy 3 9.1%
33 100%
Heat & GasForce &Motion
Wave MotionElectricity &Magnetism
Radioactivity& Nuclear
Energy
Paper IA 6.1% 30.3% 21.2% 33.3% 9.1%
0.0%
10.0%
20.0%
30.0%
40.0%
Topic Covered in Physics Paper IA
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Q1. D 1) Temp. difference ∝ heat transfer (from high T to low T)
∵ T of surrounding > T of ice-cream
∴ Heat gain by ice-cream from surrounding
2) Vacuum flask (Y) ↓ rate of heat gain from surrounding by
conduction & convection
3) Rate of heat gain = 𝐸
𝑡 =
𝑚𝑙
𝑡 (identical ice-cream ⇒ same m)
∴ Rate of heat gain ∝ 1
𝑡
Rate of heat gain in Y < Rate of heat gain in X
∴ ty > tx
Q2. A 1) Same electric heater ⇒ same P
2) By 𝑃𝑡 = 𝑚𝑐 △ 𝑇 (for changing T)
𝑃(2𝑥60) = 𝑚(800)(80 − 20)
P = 400m
3) By 𝑃𝑡 = 𝑚𝑙𝑓 (for changing state)
400𝑚(8 − 2)(60) = 𝑚𝑙𝑓
lf = 144 kJkg-1
Remarks: CANNOT use the change in T in LIQUID state to calculate
∵ Question only give specific heat capacity in SOLID state
Q3. C 1) Uniform density ⇒ Center of mass at the middle
2) Rod suspended at Q ⇒ Take moment at Q
Clockwise moment = Anti-clockwise moment
MQR
(3) = MPQ
(2)
𝑀𝑃𝑄𝑀𝑄𝑅
=3
2 ⇒
𝑀𝑃𝑄𝑀𝑄𝑅
= 3 : 2
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Q4. A
1) Two strings (non-identical) ⇒ Two tensions (T1 for left, T2 for right)
2) At equilibrium ⇒ no Fnet
Considering 30N objects, Considering 20N objects,
↑ F = ↓ F ↑ F = ↓ F
T1 = 30N T2 = 20N
3) Considering object W,
↑ F = ↓ F ← F = → F
30sinθ + 20sinϕ = W 30cosθ = 20cosϕ
4) ∵ θ & ϕ < 90o
⇒ sinθ & sinϕ < 1
∴ W < 30+20 ⇒ W < 50N
Q5. B 1) Consider the 1st phase,
By 𝑠1 = 𝑢𝑡1 +1
2𝑎(𝑡1)
2
36 = 4𝑢 +1
2𝑎(4)2 ⇒ 36 = 4u + 8a … (1)
2) Consider the whole motion,
By 𝑠 = 𝑢𝑡 +1
2𝑎𝑡2
72 = 6𝑢 +1
2𝑎(6)2 ⇒ 72 = 6u + 18a … (2)
3) By solving (1) & (2)
𝑎 = 3𝑚𝑠-2
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Q6. D 1) Identical blocks ⇒ same mass
From rest ⇒ u = 0
2) By law of conservation of energy ⇒ Loss in G.P.E. = Gain in K.E.
𝑚𝑔𝐻 − 0 =1
2𝑚𝑣2 − 0
𝑣 = √2𝑔𝐻 ⇒ 𝑣 ∝ √𝐻
∵ same 𝐻 ⇒ ∴ 𝑣1 = 𝑣2
3) By Newton’s 2nd
law,
𝐹𝑛𝑒𝑡 = 𝑚𝑎
𝑚𝑔 sin 𝜃 = 𝑚𝑎
𝑎 = 𝑔 sin 𝜃 ⇒ 𝑎 ∝ sin θ ∝ θ
∵ θ1 > θ2 ⇒ ∴ 𝑎1 > 𝑎2
4) By 𝑎 =𝑣−𝑢
𝑡 ⇒ 𝑎 ∝
1
𝑡 ( ∵ 𝑣 & 𝑢 𝑖𝑠 𝑡ℎ𝑒 𝑠𝑎𝑚𝑒)
𝑎 ∝ 1
𝑡
∴ 𝑡1 < 𝑡2
Q7. C Take right as +ve ⇒ Q can only move to right after collision
( ∵ 𝐹𝑛𝑒𝑡 𝑎𝑐𝑡𝑖𝑛𝑔 𝑜𝑛 𝑄 𝑖𝑠 𝑡𝑜 𝑡ℎ𝑒 𝑟𝑖𝑔ℎ𝑡 𝑠𝑖𝑑𝑒)
By Law of conservation of momentum
𝑚𝑝𝑢𝑃 + 𝑚𝑄𝑢𝑄 = 𝑚𝑝𝑣𝑃 + 𝑚𝑄𝑣𝑄
1) (2)(+6) + (1)(0) = (2)( 𝑣𝑃) + (1)(+2)
𝑣𝑃 = +5𝑚𝑠−1 > 𝑣𝑄 ( +2 𝑚𝑠−1)
It is not possible as Q cannot exceed P
2) (2)(+6) + (1)(0) = (2)( 𝑣𝑃) + (1)(+4)
𝑣𝑃 = +4𝑚𝑠−1 = 𝑣𝑄
It is possible as Q move with P together
3) (2)(+6) + (1)(0) = (2)( 𝑣𝑃) + (1)(+6)
𝑣𝑃 = +3𝑚𝑠−1 < 𝑣𝑄 (+6 𝑚𝑠−1)
It is possible. Q move faster than P
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Q8. C Consider whole system
By Newton’s 2nd
law ⇒ 𝐹𝑛𝑒𝑡 = 𝑚𝑎
5𝑔 − 3𝑔 = 8𝑎
𝑎 =𝑔
4𝑚𝑠−2
Q9. B By law of conservation of energy ⇒ Loss in G.P.E. = Gain in K.E.
𝑚𝑔ℎ − 0 =1
2𝑚(𝑣2 − 𝑢2)
(9.81)(ℎ) = 1
2(112 − 22)
ℎ = 6.0𝑚
Q10. B Take downwards & right as +ve
1) Consider vertical motion, 𝑢𝑦 = 0
𝑠𝑦 = 𝑢𝑦𝑡 +1
2𝑎𝑦𝑡
2
0.8 =1
2(9.81)𝑡2 ⇒ 𝑡 = 0.4𝑠
2) Consider horizontal motion
𝑢𝑥 =𝑠𝑥
𝑡 ⇒ 𝑢𝑥 =
1
0.4
𝑢𝑥 = 2.5𝑚𝑠−1 ⇒ 𝑢 = 2.5𝑚𝑠−1 (∵ 𝑢𝑦 = 0)
Q11. B Option A: Weightless ⇒ Normal reaction = 0N , not related to G-force
Option B: In circular motion,
Centripetal force is provided by the 𝐹𝑛𝑒𝑡 towards center
𝐹𝑛𝑒𝑡 =𝑚𝑣2
𝑟 ⇒
𝐺𝑀𝑚
𝑟2=
𝑚𝑣2
𝑟
𝑎𝑐 =𝑣2
𝑟
Both astronaut and the spacecraft are moving with same 𝑎𝑐
Option C: Reaction force of the floor = normal reaction = 0N
Option D: 𝐹𝑐 = 𝐹𝑛𝑒𝑡 towards center
𝐹𝑐 is not an extra force!!!
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Q12. B 1) G-field experienced on the surface of the Earth = g
𝑔 =GM
𝑅2 = acceleration due to gravity
2) Consider circular motion (with radius = 2R),
𝐹𝑛𝑒𝑡 =𝑚𝑣2
𝑟
𝐺𝑀𝑚
(2𝑅)2=
𝑚𝑣2
2𝑅 ⇒ 𝑣 = √
𝐺𝑀
2𝑅
3) Consider 𝑎𝑐
𝑎𝑐 =𝑣2
𝑟 ⇒ 𝑎𝑐 =
(√𝐺𝑀2𝑅 )2
2𝑅
𝑎𝑐 =𝐺𝑀
4𝑅2=
1
4𝑔
Q13. B
Note that the direction of wave is ⊥ to the wavefront
Q14. A
1) ✔
P is moving upwards
2) ✗
Q and S are moving in same direction
3) ✗
R is moving downwards
Only the particles at extreme points (max. / min.) will be
momentarily at rest
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Q15. C By Snell's law & 𝑣 = 𝑓𝜆,
sin θ1
sin θ2=
𝑣1
𝑣2=
𝜆1
𝜆2=
𝑛2
𝑛1
θ ∝ 𝑣 ∝ 𝜆 ∝1
𝑛 ⇒ θ ∝ 𝑣 𝑖𝑛 𝑡ℎ𝑖𝑠 𝑞𝑢𝑒𝑠𝑡𝑖𝑜𝑛
∴ 𝑣𝐼𝐼𝐼 < 𝑣𝐼 < 𝑣𝐼𝐼
Q16. A Degree of diffraction ∝ 𝜆 ∝
1
𝑎
where 𝑎 is the gap width
Q17. B Let the distance travelled by car be x
1) Consider the speed of ultrasound,
By 𝑣 =𝑑
𝑡
340=64 + 64 + 2𝑥
(0.5 − 0.1) ⇒ 𝑥 = 4𝑚
2) Consider the speed of the car,
By 𝑣 =𝑑
𝑡
𝑣 =4
(0.5 − 0.1)/2 ⇒ 𝑣 = 20𝑚𝑠−1
Q18. C 1) For anti-phase,
Constructive interference occur if 𝑃𝐷 = 𝑛 +1
2𝜆
Destructive interference occur if 𝑃𝐷 = 𝑛𝜆
2) Path diff. at O = 0𝜆 ⇒ Destructive Interference
Path diff. at P = (3−2.8)
0.1= 1𝜆 ⇒ Destructive Interference
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Q19. A 1) ✗
Sound wave are mechanical waves
2) ✔
Sound wave ⇒ mechanical wave ⇒ need vibration of paricle to
transmit ⇒ cannot transmit in vacuum
3) ✗
Sound can form stationary wave
Q20. C
1) Two sphere in contact ⇒ consider as same conductor
2) +ve charged rod near X ⇒ -ve charged induced in X near rod
⇒ +ve charged induced in Y
3) When X is earthed,
e- flow to Y (∵ -ve charged is attracted by rod) to neutralize the +ve
4) Y become neutral
X become –ve charged after separation & rod removal
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Q21. D By Columb’s Law, 𝐹 =
𝑄𝐴𝑄𝐵
4𝜋𝜀𝑟2
Let distance between each particle be r
Option A ✗ 𝐹𝑛𝑒𝑡 𝑎𝑐𝑡𝑖𝑛𝑔 𝑜𝑛 𝑄1 ⇒ 𝑡𝑜 𝑙𝑒𝑓𝑡
𝐹𝑛𝑒𝑡 𝑎𝑐𝑡𝑖𝑛𝑔 𝑜𝑛 𝑄2 = 0𝑁
𝐹𝑛𝑒𝑡 𝑎𝑐𝑡𝑖𝑛𝑔 𝑜𝑛 𝑄3 ⇒ 𝑡𝑜 𝑟𝑖𝑔ℎ𝑡
Option B ✗ 𝐹𝑛𝑒𝑡 𝑎𝑐𝑡𝑖𝑛𝑔 𝑜𝑛 𝑄1 =(+2)(−1)
4𝜋𝜀𝑟2 +(+2)(+2)
4𝜋𝜀(2𝑟)2=
−1
4𝜋𝜀𝑟2 𝑁
𝐹𝑛𝑒𝑡 𝑎𝑐𝑡𝑖𝑛𝑔 𝑜𝑛 𝑄2 = 0N
𝐹𝑛𝑒𝑡 𝑎𝑐𝑡𝑖𝑛𝑔 𝑜𝑛 𝑄3 =(+2)(+2)
4𝜋𝜀(2𝑟)2 +
(+2)(−1)
4𝜋𝜀𝑟2 =−1
4𝜋𝜀𝑟2 𝑁
Option C ✗ 𝐹𝑛𝑒𝑡 𝑎𝑐𝑡𝑖𝑛𝑔 𝑜𝑛 𝑄1 ⇒ 𝑡𝑜 𝑟𝑖𝑔ℎ𝑡
𝐹𝑛𝑒𝑡 𝑎𝑐𝑡𝑖𝑛𝑔 𝑜𝑛 𝑄2 ⇒ 𝑡𝑜 𝑙𝑒𝑓𝑡
𝐹𝑛𝑒𝑡 𝑎𝑐𝑡𝑖𝑛𝑔 𝑜𝑛 𝑄3 =(+4)(−4)
4𝜋𝜀(2𝑟)2 +
(+4)(+1)
4𝜋𝜀𝑟2 = 0𝑁
Option D ✔ 𝐹𝑛𝑒𝑡 𝑎𝑐𝑡𝑖𝑛𝑔 𝑜𝑛 𝑄1 =(−4)(+1)
4𝜋𝜀𝑟2 +(−4)(−4)
4𝜋𝜀(2𝑟)2 = 0𝑁
𝐹𝑛𝑒𝑡 𝑎𝑐𝑡𝑖𝑛𝑔 𝑜𝑛 𝑄2 =(+1)(−4)
4𝜋𝜀𝑟2 +(+1)(−4)
4𝜋𝜀𝑟2 = 0𝑁
𝐹𝑛𝑒𝑡 𝑎𝑐𝑡𝑖𝑛𝑔 𝑜𝑛 𝑄3 =(−4)(−4)
4𝜋𝜀(2𝑟)2 +
(−4)(+1)
4𝜋𝜀𝑟2 = 0𝑁
Q22. D 1) Electron is –ve charged ⇒ 𝐹𝐸 to left ⇒ Left plate is +ve
⇒ E-field point from P to Q
2) By 𝐸 =𝐹
𝑄
𝐸 =8 × 10−18
1.6 × 10−19 ⇒ 𝐸 = 50𝑁𝐶−1
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Q23. B Let the distance between charge +Q & X be 3x
By 𝑉 =+𝑄
4𝜋𝜀𝑟
𝑉𝑋 =+𝑄
4𝜋𝜀(3𝑟)
𝑉𝑌 =+𝑄
4𝜋𝜀(2𝑟) ⇒ 𝑉𝑌 =
3
2(
+𝑄
4𝜋𝜀(3𝑟) )
∴ 𝑉𝑌 =3
2𝑉𝑋
Q24. C 1) When S is closed ⇒ 3Ω resistor is shorted
By 𝑉 = 𝐼R
𝑒.𝑚. 𝑓. = (3)(6 + 𝑟) … (1)
2) When S is opened,
𝑒.𝑚. 𝑓. = 𝐼(3 + 6 + 𝑟) … (2)
3) Combine (1) & (2)
(3)(6 + 𝑟) = 𝐼(3 + 6 + 𝑟)
18 + 3𝑟 = 9𝐼 + 𝐼𝑟 … (3)
By substitution I into (3), internal resistor (r) is calculated
Option A ✗ 𝑊ℎ𝑒𝑛 𝐼 = 1.6𝐴, 𝑟 = −2.57Ω (Not possible)
Option B ✗ 𝑊ℎ𝑒𝑛 𝐼 = 2.0𝐴, 𝑟 = 0Ω (Not possible)
Option C ✔ 𝑊ℎ𝑒𝑛 𝐼 = 2.4𝐴, 𝑟 = 6Ω (Possible)
Option D ✗ 𝑊ℎ𝑒𝑛 𝐼 = 3.2𝐴, 𝑟 = −54Ω (Possible)
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Q25. D 1) For short-circuited,
𝑅 = 0Ω, 𝑉 = 0𝑉, 𝑖 = ∞
2) For open circuit,
𝑅 = ∞, 𝑉 = 𝑒.𝑚. 𝑓. 𝑖 = 0𝐴
3) The reading of voltmeter = 𝑉𝑃 (Potential difference across P)
Option A ✗
𝑊ℎ𝑒𝑛 𝑃 & 𝑄 𝑎𝑟𝑒 𝑠ℎ𝑜𝑟𝑡𝑒𝑑 ⇒ 𝑉𝑃 = 0V
Option B ✗
𝑊ℎ𝑒𝑛 𝑃 & 𝑄 𝑎𝑟𝑒 𝑖𝑛 𝑜𝑝𝑜𝑛 𝑐𝑖𝑟𝑐𝑢𝑖𝑡 ⇒ 𝑉𝑃 + 𝑉𝑄 = 6𝑉
𝑉𝑄 𝑜𝑟 𝑉𝑃 ≠ 6𝑉
Option C ✗
𝑊ℎ𝑒𝑛 𝑃 𝑖𝑠 𝑠ℎ𝑜𝑟𝑡𝑟𝑑 ⇒ 𝑉𝑃 = 0V
𝑊ℎ𝑒𝑛 𝑄 𝑖𝑠 𝑖𝑛 𝑜𝑝𝑒𝑛 𝑐𝑖𝑟𝑐𝑢𝑖𝑡 ⇒ 𝑉𝑄 = 𝑒.𝑚. 𝑓. = 6𝑉
⇒ 𝑉𝑃 = 0𝑉 (∵ 𝑉𝑄 + 𝑉𝑃 = 6𝑉)
Option D ✔
𝑊ℎ𝑒𝑛 𝑃 𝑖𝑠 𝑖𝑛 𝑜𝑝𝑒𝑛 𝑐𝑖𝑟𝑐𝑢𝑖𝑡 ⇒ 𝑉𝑃 = 𝑒.𝑚. 𝑓. = 6𝑉
𝑊ℎ𝑒𝑛 𝑄 𝑖𝑠 𝑠ℎ𝑜𝑟𝑡𝑒𝑑 ⇒ 𝑉𝑄 = 0𝑉
𝑉𝑃 = 6𝑉 (∵ 𝑉𝑄 + 𝑉𝑃 = 6𝑉)
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Q26. A 1) By right hand grip rule, consider force acting at point O
Force by charge Q ⇒ towards P
Force by charge P ⇒ towards S
Force by charge S ⇒ towards P
Force by charge R ⇒ towards Q
2) Force toward Q & S are balanced
∴ Force in OP direction
Q27. D 1) By right hand grip rule, 𝑖 → �⃑�
If 𝑖 = +ve (flow upwards), �⃑� into coil PQRS
If 𝑖 = –ve (flow downwards), �⃑� out of coil PQRS
2) Consider 1st phase, when 𝑖 = +ve & ↓ ⇒ �⃑� into coil ↓
By Lenz’s Law, induced 𝑖 flow in clockwise to generate �⃑� into
coil (to oppose the change ⇒ ↑ �⃑� into coil)
3) Consider 2nd
phase, when 𝑖 = -ve & ↑ ⇒ �⃑� out of coil ↑
By Lenz’s Law, induced 𝑖 flow in clockwise to generate �⃑� into
coil (to oppose the change ⇒ ↓ �⃑� out of coil)
Q28. D 𝐶𝑜𝑛𝑠𝑖𝑑𝑒𝑟 𝐵 =
𝜇𝑜𝑁𝐼
𝐼
𝐵 ∝ 𝑁 ∝1
𝑙
∴ When 𝑙 ↓ & 𝑁 ↑ ⇒ 𝐵 ↑ (Independent of cross sectional area)
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Q29. B 1) Metal block ⇒ 𝑒− is charge carrier
2) PQ is higher potential ⇒ +ve charged ⇒ 𝑒− is accumulated at SR
⇒ 𝐹𝐵 acting into block (towards SR)
3) By Fleming left hand rule,
𝑖 to the left, 𝐹𝐵 into paper ⇒ �⃑� upwards (Q to P)
Q30. B 1) In d.c. condition,
𝑃 =𝑉2
𝑅 ⇒ 𝑃 =
102
𝑅⇒ 𝑃 =
100
𝑅
2) In a.c. condition,
1
2𝑃 =
𝑉𝑟.𝑚.𝑠.2
𝑅 ⇒
1
2(100
𝑅) =
𝑉𝑟.𝑚.𝑠.2
𝑅
𝑉𝑟.𝑚.𝑠. = 5√2 V
Q31. D 1) M = Mass no. = no. of 𝑝+ + 𝑛
A = Atomic no. = no. of 𝑝+
2) Consider the decays equations,
𝑊𝐴𝑀 → 𝑋𝐴−2
𝑀−4 + 𝛼24
𝑋𝐴−2𝑀−4 → 𝑌𝐴−1
𝑀−4 + 𝛽−10
𝑌𝐴−1𝑀−4 → 𝑍𝐴
𝑀−4 + 𝛽−10
Statement (1) ✗ Y has 1 more proton than X
Statement (2) ✔ No. of 𝑛 = 𝑀 − 𝐴
Statement (3) ✔ Isotope = atoms of same element of same no. of 𝑝+,
different no. of 𝑛 (OR mass number)
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15
Q32. A 1) α radiation blocked by paper
∴ x < 450
2) Aluminum is used to block 𝛽 radiation
No β radiation ⇒ no ↓ after passing through aluminum
⇒ no difference in x & y
∴ Only A & C are possible answers
3) γ willl be ↓ to 1
2 of initial intensity by 25mm lead
⇒ 2mm lead will block a small amount of γ
⇒ z < y
4) Blackgrond radiation (50) cannot be blocked by any material
⇒ y > 50
∴ Only A is possible answer
Q33. C 1) Consider the decay equation,
𝑅𝑎 → 𝑅𝑛 + 𝛼 + 4.9𝑀𝑒𝑉
2) Energy difference = 4.9𝑀𝑒𝑉
= 4.9 × 106 × 1.6 × 10−19 ⇒ 7.84 × 10−13
3) By ∆𝐸 = ∆𝑚𝑐2
7.84 × 10−13 = (∆𝑚)(3 × 𝑥108)2
∆𝑚 = 8.7 × 10−30𝑘𝑔
4) ∵ Energy is released in the product
∴ mass of product < mass of reactant
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