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Posted in H2 Physics Answers

Suggested Answers to 2015 A Level H2 Physics 9646 PAPER 1 and 2

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Physics Paper 1 MCQ

1) A  2) D  3) C  4) A  5) C

6) A  7) D  8) C  9) A  10) C

11) B  12) A  13) D  14) A  15) A

16) A  17) C  18) A  19) C  20) B

21) C  22) D  23) B  24) B  25) A

26) B  27) B  28) B  29) D  30) B

31) B  32) D  33) B  34) C  35) C

36) C  37) C  38) A  39) D  40) B

 

Physics Paper 2

1. a) EPE = 0.662J

bi) The system has only GPE before the 300g mass is released. After releasing, part of the GPE is converted to KE and to EPE. At the lowest point, once the mass comes to a stop, all of the GPE will have been converted to EPE.

ii) v = 1.21 m/s

iii) 0.40m

2a) Select 2 points from the graph: (6.0, 1.25) and (12.0, 2.50)

(V – 12.0)/(I – 2.50) = (12.0 – 6.0) / (2.50 – 1.25)

V – 12.0 = (6.0/1.25) (I – 2.50)

V = 4.81I

V is proportional to I

bi) 4.8Ω

ii) 1.3 A ,  1.6A

iii) 6.35 V

3a) Incident photons must have energy greater than or equal to the work function of M to emit one electron. Energy of photon is related to the frequency of the electromagnetic radiation by E = hf

bi) Free electrons at the surface are emitted with maximum KE but electrons of the outer shell require more energy to escape thus they will be emitted with less KE. A minimum potential difference is present to stop the photoelectrons with the maximum KE from reaching the collector in order to reduce the current to zero.

ii)It is limited by rate of emission of photoelectrons, which is dependent on the intensity.

c) 9.45 x 10^14  Hz

d) Starts from -2.2v and follows the same shape of the original. The value of y-intercept is doubled due to the doubled intensity.

4a) 0.712 m/s^2

bi) Since the 2 moons move in circular orbits around Jupiter’s center of mass, thus the centripetal force is also the gravitational force due to Jupiter, which acts towards Jupiter’s center of mass.

ii) 2.33

5ai) 4.80 x 10^-14 N

ii) -2.30 x 10^-16 N

b) Electrostatic force on A due to B and B due to A are internal forces. They have the same magnitude but different in direction. Thus the resultant force action on the molecule is zero.

c) 1.6628 x 10^-25  Nm

6a) 128, 54

b) 1510 s

7ai) s = -3.0

ii) -3.170 , -0.693

iii) Plot the point and draw the best fit line.

iv) 3.10

v) There is a linear relationship between ln(y1/m) and ln(l/m) with a gradient of 3.1 and with a y- intercept of -1.02.

vi) 3

b) k = 2.70 x 10^-10

ci) Acceleration is directly proportional to the displacement. The negative sign indicates that the acceleration is opposite to the displacement and is always directed to the position of zero displacement.

ii) 0.560

8.

Apparatus.

Filament lamp, power supply, beaker, thermometer, Stirrer, Stopwatch, Voltmeter, Ammeter, Rheostat, Switch, Weighing machine, Waterproof tape.

Draw a diagram with a filament lamp immersed in water, with the thermometer and stirrer inside the beaker. Draw the circuit of the lamp with connecting ammeter and voltmeter and the power source.

Procedure.

  1. Measure mass of water in beaker, m.

  2. Insulate the beaker.

  3. Connect filament lamp with circuit, wrap the metal cap with the waterproof tape.

  4. Set up apparatus as shown.

  5. Record initial temperature.

  6. Close the circuit and start the stopwatch.

  7. When the temperature hits 70ºC, stop the stopwatch and record the readings of the voltmeter and ammeter.

  8. Repeat steps 5 to 7 after replacing the hot water in the beaker with the same amount of water at room temperature. Obtain different potential differences by changing the resistance of the rheostat.

Working

  1. 1 – (Thermal energy/electrical energy output)

  2. Relationship between I and t is given by η = aV^b , where a and b are constants. The equation can be written as lg η  = b lg V + lg a

  3. Plot a graph of lg η against lg V and obtain a and b

Accuracy

  1. Minimise heat loss to surroundings by using the lid and lagging.

  2. Conduct preliminary experiments to decide on the suitable values of resistance and voltage supply.

  3. Ensure experiment is not conducted over long periods of time so that efficiency of the lamp is not affected by the thermal energy released.

Safety

  1. Handle with dry hands to prevent electrocution.

  2. Ensure the circuit is not in contact with the water.

  3. Handle the beaker with care when replacing the water.

 

 

 

A-LEVEL H2 MATH JUNE HOLIDAYS INTENSIVE REVISION

A-LEVEL H2 PHYSICS JUNE HOLIDAYS INTENSIVE REVISION

 

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Posted in H2 Math Answers

Suggested Answers to 2015 A Level H2 Math 9740 PAPER 2

 

1. Differential equation

(i) h = 32m

(ii) ≈ 46.9 years

 

2. Vectors

(i) ≈ 73.4°

(ii) λ = 3/7 or 1

Point = ( 17/7 , 1/7 , -58/7 )

(iii) -36x + 2y – 11z = 4

 

3. Functions

a)(i) Graph of y=k , k∈R , cuts at most on 1 point.

f (x) is a 1 – 1 function, f inverse exists

(ii) f -¹ : x → √(1 – 1/x) , x > 0

b) y≤ 1 – (1/2)√3  or  y≥ 1 + (1/2)√3

Rg = ( -∞, 1 – (1/2)√3] ∪ [ 1 + (1/2)√3 , ∞ )

 

4. Mathematical induction / Method of difference

b)(i) 2 = A(2r+3) + B(2r+1)

(ii) (1/3) – (1/(2n+3))

(iii) n≥ 1498.5

smallest n = 1499

 

5. Sampling methods

(i)  Sampling frame is not available, therefore the manager is unable to define the appropriate subgroups required for stratified sampling.

(ii)  Survey 25 people each for different age groups  (5-20, 21-40, 41-60, 61-80). The manager can survey the customers going in and out of the supermarket to obtain the  required data.

6. Binomial distribution

(i) ≈ 0224

(ii) ≈ 0.149

(iii) ≈ 0.825

 

7. Poisson distribution

(i) Average number of errors per page is constant

Errors occurring are independent of each other

(ii) ≈ 0.165

(iii) least n = 4

 

8. Hypothesis Testing

p-value = 0.264618 > 0.1

Do not reject Ho. There is insufficient evidence at the 10% level of significance to doubt his claim.

 

9. Probability

(i) = 0.4

(ii) 0.185

(iii) Lowest = 0.165

Highest = 0.33

 

10. Correlation and Regression 

i)

qcc

(ii) a. ≈ -0.9807

b. ≈ -0.9748

c. ≈ -0.9986

(iii) √h and P

P = 34.8 – 0.266√h

(iv) 34.8 – 0.266√h

 

11. Permutations and Combinations

(i) 10080

(ii) 10079

(iii) 720

(iv) 5760

 

12. Normal Distribution

(i) 0.01267

(ii) 0.05238

(iii) 0.742

 

 

 

 

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Posted in H2 Math Answers

Suggested Answers to 2015 A Level H2 Math 9740 PAPER 1

 

1. System of linear equations / Graphing techniques

(i)  a = -3.953 ,  b = -5.187 ,  c = 7.303

(ii)  x = -0.589

(iii)  y = 5.19x + 7.3

 

2. Graphing techniques / Inequalities

i)

q2

(ii) -1.73 < x < 0.414  or  x > 1.73

 

3. Integration

(i) When n→∞ , sum of area of rectangles ≈ area of function

(ii) 3/4

 

4. Application of differentiation

Maximum area = (1/32) d²

 

5. Graphing techniques / Transformation

(i) Translation of +3 units parallel to the x-axis,

Scaling by scale factor of 1/4 parallel to the y-axis

ii)

iii)

 

 

6. Maclaurin’s series / Binomial expansion

(i) 2x – 2x² + (8x³/3)

(ii) -(104/27)

 

7. Vectors

(i) OC = (3/5)a

OD = (5/11)b

(ii) line BC : r = (3/5)λa + (1 – λ)b

line  AD : r = (1 – μ)+ (5/11)μb

(iii) AE : ED = 11:9

 

8. AP/GP

(i) T = { T∈R : 59 ≤ T ≤ 77 }

(ii) t = { t∈R : 63.8 ≤ t ≤ 74.5 }

9. Complex numbers

a) w = a ± (a/√3)i

b)(i) z = 2e^(-π/10) , 2e^(3π/10) , 2e^(-π/2) , 2e^(7π/10) , 2e^(-9π/10)

(ii) 4 sin ( π/5)

10. Application of integration

i) A1/A2 = (2-√2)/(√2 -1)

= √2

iii) Volume = (π³/16√2) + (π²/2√2) – √2 π

11. Application of differentiation and integration

i) dy/dx = (-3sin³Θ + 6sinΘ cos²Θ)/(3sin²Θ cosΘ)

= 2 cot Θ – tan Θ (shown)

ii) ( (2√2)/(3√3) , ( 2 /√3 ) ) maximum point

iii) Area ≈ 0.884

iv) a = (3√2)/(2)

 

A-LEVEL H2 MATH JUNE HOLIDAYS INTENSIVE REVISION

A-LEVEL H2 PHYSICS JUNE HOLIDAYS INTENSIVE REVISION

 

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Posted in Must-know PSLE Math

MUST-KNOW PSLE MATH PROBLEM 2

Do you know WHEN and HOW to use the Row-Minus-Row Method? This method is used when the question involves several relationships between multiple items and for each relationship a Total is given.

———————————————————————————————————–

Question:

Kyle bought 6 similar pencils, 3 similar books and a file for $78.

1 pencil and 1 book cost $20.

1 pencil and 1 file cost $12.

What was the cost of the file?

———————————————————————————————————–

Solution using the Row-Minus-Row Method:

Given 6p + 3b + 1f = 78  ———–Row 1

Given 1p + 1b = 20

So 3p + 3b = 60  ———– Row 2

Row 1 – Row 2:  3p + 1f  = 18  ———— Row 3

Given 1p + 1f = 12

So 3p + 3f = 36  ————- Row 4

Row 4 – Row 3:   2f = 18, so f = 9.

Ans:  $9

PSLE MATH WORKSHOP FOR PARENTS & STUDENTS – How to solve difficult problem sums using the Storyline-Balance Method

PSLE MATH JUNE HOLIDAY INTENSIVE REVISION

PSLE SCIENCE JUNE HOLIDAY INTENSIVE REVISION

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Posted in Must-know PSLE Math, PSLE Math

MUST-KNOW PSLE MATH PROBLEM 1

PSLE MATH WORKSHOP FOR PARENTS & STUDENTS – How to solve difficult problem sums using the Storyline-Balance Method

PSLE MATH JUNE HOLIDAY INTENSIVE REVISION

PSLE SCIENCE JUNE HOLIDAY INTENSIVE REVISION

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Question:

The ratio of Eric’s money to Kim’s money was 3 : 1. After Eric gave Kim $60, the ratio of Eric’s money to Kim’s money became 3 : 5. How much did Eric have at first?

———————————————————————————————————–

Solution using the Storyline-Balance Method:

E         :        K

At start:         3u       :        1u

Story:             – 60             + 60

At end:         3u – 60        1u + 60

Final ratio:      3       :       5

So 5 sets of (3u – 60) = 3 sets of (1u + 60)

15u – 300 = 3u + 180

15u – 3u = 180 + 300

12u = 480

1u = $40

So at first Eric had 3u = 3 x 40 = $120

Ans:  $120

Note:

The above is just one method. Another method requires you to notice that in the above problem, the total number of units remain the same as it is an INTERNAL TRANSFER or TOTAL UNCHANGED situation or concept. However, using the Storyline-Balance method, you don’t need to know what has been unchanged.

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Posted in Intensive Revision, Pure Physics

O-LEVEL PHYSICS JUNE HOLIDAYS INTENSIVE REVISION

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Time : 9.30 am  12.00 pm (Session 1), 1.00 pm – 3.30 pm (Session 2)

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Fee: $780 ($650 if payment made in Apr) or $110 per session ($90 if payment made in Apr)

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Format: Teaching + Worksheets + Discussions

Course Outline:

Day 1 Session 1: Kinematics, Forces, Moments

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Day 2 Session 1: Heat Capacity & Latent Heat

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Day 3 Session 1: Static & Current Electricity

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Posted in A-Level

Re-taking A-levels

If you have read my posts (1) What to do if your A-level results are bad … and (2) A-Level Results: What to do if you get BAD or DEAD, i.e., the ‘middle class’, and you would like to re-take your A-Levels, then I suggest you don’t waste any more time as the next A-Levels is very near already, just a few months down the road.

Retaking A-Levels is not easy, depending on whether you are a full-time student, working, or doing NS.

The ideal situation is when you can choose to become a full-time student, as retaking A-Levels needs a high degree of commitment. If you wish to become our full-time student, then you can click on the following for details: A-LEVEL PREPARATION

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If you are working part-time or full-time or doing NS, and you are serious about retaking your A-levels, then you’d need to meet up with me to work out a suitable arrangement.

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Posted in N-level, Normal (Academic), Normal Academic (N/A)

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Sec 2 NA Math :  Saturday | 12.30 pm – 2.00 pm | Code: S2NM2                                       

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Sec 1 NA Math :  Saturday | 2.30 pm – 4.00 pm | Code: S1NM1                                       

Sec 1 NA Math :  Wednesday | 5.45 pm – 7.15 pm | Code: S1NM2                                       

TO REGISTER, SMS <STUDENT NAME>, <CODE> TO 98530744.

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The Tutors:

The Tutor is a former MOE school teacher who has been coaching students in ‘A’ Level & IB Physics and Mathematics for more than 6 years, as well as ‘O’ Level & IP Physics, Additional Math, E. Math and PSLE Math for more than 10 years. An alumnus of RI and RJC, he also holds both a Master of Education degree and a Postgraduate Diploma in Education with Credit from the National Institute of Education (NIE), as well as a Bachelor of Science degree from the National University of Singapore (NUS).

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Administrative Matters:

Location:   Blk 644, Bukit Batok Central, #01-68. S(650644).

Our location is just a 3-min walk from either the Bukit Batok MRT station or the Bukit Batok Bus Interchange. Buses that stop along the roads surrounding our location are numbers 157, 178, 66, 506, 173, 174, 176, 187, 985. Buses services which terminate at Bukit Batok Bus Interchange are 61, 77, 106, 173, 177, 189, 852, 941, 945, 947.

TUITION FEES

TO REGISTER, SMS <STUDENT NAME>, <CODE> TO 98530744.

For enquiries, kindly call 65694897 or sms to 98530744.

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TUITION CLASSES:

jcbutton          secbutton

ipbutton                    pributton

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EDUCATIONAL SERVICES:

hwsupervbutton                   intensivebutton

headststart-1                   private-candidates

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By EX-MOE TEACHERS & EXPERIENCED TUTORS

@ BLK 644, BUKIT BATOK CENTRAL, #01-68. S(650644).

CALL 65694897 OR SMS 98530744 OR 97860411.