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Secondary 4 Pure Physics Preliminary Examination Paper 2
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Questions
TuitionGoWhere Practice Paper - Pure Physics Secondary 4
TuitionGoWhere Secondary School (AI)
PRELIMINARY EXAMINATION — VERSION 2
| Field | Details |
|---|---|
| Subject: | Pure Physics |
| Level: | Secondary 4 |
| Paper: | Paper 2 (Structured & Free Response) |
| Duration: | 1 hour 45 minutes (105 minutes) |
| Total Marks: | 60 |
| Name: | ______________________________ |
| Class: | ______________________________ |
| Date: | ______________________________ |
Instructions to Candidates
- Write your name, class, and date in the spaces provided above.
- Answer ALL questions in the spaces provided.
- Write in dark blue or black pen. You may use a pencil for diagrams.
- Do not use correction fluid.
- The number of marks is shown in brackets [ ] at the end of each question or part-question.
- You may use a calculator.
- Essential working must be shown for calculation questions. Answers without working may not receive full credit.
- The total mark for this paper is 60.
Section A: Multiple Choice [10 marks]
Questions 1–5: Choose the most accurate answer. Each question carries 2 marks.
Question 1
A step-down transformer has 2000 turns on the primary coil and 100 turns on the secondary coil. The primary voltage is 240 V. What is the secondary voltage?
A) 4.8 V B) 12 V C) 48 V D) 4800 V
Answer: ______________ [2]
Question 2
A transformer has an efficiency of 80%. The primary voltage is 240 V and the primary current is 0.50 A. If the secondary voltage is 48 V, what is the secondary current?
A) 0.10 A B) 0.20 A C) 2.0 A D) 4.0 A
Answer: ______________ [2]
Question 3
Which of the following correctly describes the magnetic field pattern around a long straight current-carrying wire?
A) Radial lines pointing outward from the wire B) Concentric circles around the wire, with direction given by the right-hand grip rule C) Parallel lines along the length of the wire D) Uniform field lines perpendicular to the wire
Answer: ______________ [2]
Question 4
A rectangular coil is rotated in a uniform magnetic field. Which change will increase the maximum e.m.f. induced in the coil?
A) Decreasing the number of turns in the coil B) Decreasing the speed of rotation C) Increasing the area of the coil D) Aligning the coil parallel to the magnetic field
Answer: ______________ [2]
Question 5
In a household electrical circuit, the fuse is always connected to the
A) neutral wire. B) earth wire. C) live wire. D) appliance casing.
Answer: ______________ [2]
Section B: Structured Questions [30 marks]
Answer ALL questions. Show all working clearly.
Question 6 [3]
State two differences between a step-up transformer and a step-down transformer.
(a) ______________________________________________________________________________
______________________________________________________________________________ [1]
(b) ______________________________________________________________________________
______________________________________________________________________________ [1]
(c) State the principle on which a transformer operates. [1]
Question 7 [4]
A transformer is used to step down a 240 V mains supply to 12 V to operate a lamp.
(a) Calculate the turns ratio (N_s / N_p) of the transformer. [2]
Working:
Answer: turns ratio = ______________
(b) If the transformer is 100% efficient and the current in the secondary coil is 2.0 A, calculate the current in the primary coil. [2]
Working:
Answer: I_p = ______________ A
Question 8 [3]
The diagram below (not drawn to scale) shows a straight wire carrying current I, placed between the poles of a horseshoe magnet. The wire experiences a force directed into the page.
N ──────────────────── S
⊙ (current out of page)
↑ Force (into page — shown as ×)
(a) Using Fleming's left-hand rule, state the direction of the current in the wire. [1]
(b) State one way to increase the force on the wire. [1]
(c) Name the device that operates on this principle. [1]
Question 9 [4]
A coil of 50 turns and area 0.020 m² is placed in a uniform magnetic field of flux density 0.50 T. The coil is rotated from a position where the plane of the coil is perpendicular to the field, to a position where it is parallel to the field, in 0.10 s.
(a) Calculate the initial magnetic flux through the coil. [2]
Working:
Answer: Φ_initial = ______________ Wb
(b) Calculate the average e.m.f. induced in the coil during this rotation. [2]
Working:
Answer: e.m.f. = ______________ V
Question 10 [3]
Explain why the transmission of electrical power from a power station to homes is carried out at high voltage rather than low voltage.
______________________________________________________________________________ [3]
Question 11 [4]
The figure shows a simple d.c. motor.
┌──────────────┐
│ Coil ABCD │
│ A B │
│ │ │ │
│ D C │
└──────────────┘
N S
(Split-ring commutator on left side)
(a) State the direction of the current flow in side AB of the coil (from A to B or B to A) such that the coil rotates clockwise. Explain your reasoning using Fleming's left-hand rule. [2]
(b) State two modifications that would increase the turning effect (torque) on the coil. [2]
(i) ______________________________________________________________________________
(ii) ______________________________________________________________________________
Question 12 [3]
A student sets up a circuit with a 12 V battery, a 4.0 Ω resistor, and an ammeter connected in series.
(a) Calculate the current in the circuit. [2]
Working:
Answer: I = ______________ A
(b) Calculate the charge passing through the resistor in 30 seconds. [1]
Working:
Answer: Q = ______________ C
Question 13 [3]
State Lenz's Law and use it to explain why a magnet falling through a copper tube reaches a terminal (constant) velocity.
Lenz's Law: ______________________________________________________________________________
______________________________________________________________________________ [1]
Explanation: ______________________________________________________________________________
______________________________________________________________________________ [2]
Question 14 [3]
A household is supplied with 240 V a.c. The following appliances are used simultaneously:
| Appliance | Power Rating |
|---|---|
| Kettle | 2400 W |
| Iron | 1200 W |
| 3 lamps | 60 W each |
(a) Calculate the total current drawn from the mains supply. [2]
Working:
Answer: I_total = ______________ A
(b) The mains fuse is rated at 15 A. Will the fuse blow? Explain your answer. [1]
Section C: Free Response / Application [20 marks]
Answer ALL questions. Show all working and reasoning clearly.
Question 15 [5]
A power station generates electrical power at 10 000 W. The power is transmitted through cables with a total resistance of 4.0 Ω.
(a) Calculate the current in the transmission cables if the power is transmitted at 250 V. [2]
Working:
Answer: I = ______________ A
(b) Calculate the power lost as heat in the transmission cables at this voltage. [1]
Working:
Answer: P_lost = ______________ W
(c) If the transmission voltage is increased to 2500 V, calculate the new power lost in the cables. [2]
Working:
Answer: P_lost = ______________ W
Question 16 [5]
The diagram shows a cathode-ray oscilloscope (CRO) trace of an a.c. supply. The Y-gain is set to 5.0 V/div and the time-base is set to 10 ms/div.
┌────────────────────────────────────────────┐
2 div │ ╱╲ ╱╲ ╱╲ │
│ ╱ ╲ ╱ ╲ ╱ ╲ │
0 │─────╱──────╲──╱──────╲──╱──────╲──────── │
│ ╱ ╲╱ ╲╱ │
-2 div │ ╱ │
└────────────────────────────────────────────┘
0 10 20 30 40 50 60 (ms)
(a) Determine the peak voltage of the a.c. supply. [2]
Working:
Answer: V_peak = ______________ V
(b) Determine the frequency of the a.c. supply. [2]
Working:
Answer: f = ______________ Hz
(c) State whether this a.c. supply is suitable for charging a battery that requires 12 V d.c. Explain your answer. [1]
Question 17 [5]
A student investigates electromagnetic induction using a bar magnet and a solenoid connected to a sensitive galvanometer.
(a) Describe what the student should do to induce a current in the solenoid. [2]
(b) State two ways to increase the magnitude of the induced current. [2]
(i) ______________________________________________________________________________
(ii) ______________________________________________________________________________
(c) The student pushes the north pole of the magnet into the solenoid. State the polarity (north or south) of the end of the solenoid nearest to the magnet. Explain your answer using Lenz's Law. [1]
Question 18 [5]
A transformer in a mobile phone charger steps down 240 V a.c. to 5.0 V a.c. The charger is 90% efficient and draws a current of 0.050 A from the 240 V mains supply.
(a) Calculate the input power to the charger. [1]
Working:
Answer: P_in = ______________ W
(b) Calculate the output power of the charger. [2]
Working:
Answer: P_out = ______________ W
(c) Calculate the output current delivered to the phone. [2]
Working:
Answer: I_out = ______________ A
End of Paper
© TuitionGoWhere Secondary School (AI) — Preliminary Examination Practice, Version 2 of 5
Answers
TuitionGoWhere Practice Paper — Pure Physics Secondary 4
PRELIMINARY EXAMINATION — VERSION 2
Answer Key & Marking Scheme
Section A: Multiple Choice [10 marks]
Question 1 [2]
Answer: B) 12 V
Working: Using the transformer equation: V_s / V_p = N_s / N_p
V_s = V_p × (N_s / N_p) = 240 × (100 / 2000) = 240 × 0.05 = 12 V
Marking notes:
- Award 2 marks for correct answer B.
- Award 0 marks for any other option.
- No partial marks for this multiple-choice question.
Question 2 [2]
Answer: C) 2.0 A
Working: Using efficiency: η = (V_s × I_s) / (V_p × I_p)
0.80 = (48 × I_s) / (240 × 0.50)
0.80 = (48 × I_s) / 120
48 × I_s = 0.80 × 120 = 96
I_s = 96 / 48 = 2.0 A
Marking notes:
- Award 2 marks for correct answer C.
- Award 0 marks for any other option.
Question 3 [2]
Answer: B) Concentric circles around the wire, with direction given by the right-hand grip rule
Marking notes:
- Award 2 marks for correct answer B.
- Award 0 marks for any other option.
Question 4 [2]
Answer: C) Increasing the area of the coil
Marking notes:
- Award 2 marks for correct answer C.
- The induced e.m.f. depends on the rate of change of magnetic flux. Increasing the area increases the flux linkage, hence increasing the induced e.m.f.
- Award 0 marks for any other option.
Question 5 [2]
Answer: C) live wire
Marking notes:
- Award 2 marks for correct answer C.
- The fuse must be in the live wire so that when it blows, the circuit is disconnected from the high-voltage supply, preventing electric shock.
- Award 0 marks for any other option.
Section B: Structured Questions [30 marks]
Question 6 [3]
(a) [1] In a step-up transformer, the secondary voltage is greater than the primary voltage, whereas in a step-down transformer, the secondary voltage is less than the primary voltage.
(b) [1] In a step-up transformer, the number of turns on the secondary coil is greater than the number of turns on the primary coil, whereas in a step-down transformer, the secondary has fewer turns than the primary.
(c) [1] A transformer operates on the principle of electromagnetic induction (or mutual induction).
Marking notes:
- Award 1 mark each for (a), (b), and (c).
- For (a) and (b), accept any valid, clearly stated difference.
- For (c), accept "mutual induction" or "electromagnetic induction".
Question 7 [4]
(a) [2] Turns ratio:
V_s / V_p = N_s / N_p
N_s / N_p = 12 / 240 = 1 / 20 (or 0.05)
Marking:
- 1 mark for correct formula or substitution.
- 1 mark for correct answer (1:20 or 0.05).
(b) [2] Primary current (100% efficient):
V_p × I_p = V_s × I_s
240 × I_p = 12 × 2.0
I_p = 24.0 / 240 = 0.10 A
Marking:
- 1 mark for correct formula or substitution.
- 1 mark for correct answer with unit (0.10 A).
Common mistakes:
- Forgetting to include the unit (A) — deduct 1 mark.
- Confusing primary and secondary values.
Question 8 [3]
(a) [1] The current flows from B to A (upward in the wire).
Reasoning: Using Fleming's left-hand rule: the force is into the page, the magnetic field goes from N to S (left to right), so the current must be upward (from B to A).
(b) [1] Any one of:
- Increase the current in the wire
- Use a stronger magnet (increase magnetic field strength)
- Increase the length of the wire in the magnetic field
(c) [1] Electric motor (or d.c. motor)
Marking notes:
- Award 1 mark each for (a), (b), and (c).
- For (b), accept any valid method.
Question 9 [4]
(a) [2] Initial magnetic flux:
Φ = B × A × cos θ
When the coil is perpendicular to the field, the normal to the coil is parallel to B, so θ = 0°.
Φ_initial = B × A = 0.50 × 0.020 = 0.010 Wb
Marking:
- 1 mark for correct formula.
- 1 mark for correct answer with unit (0.010 Wb).
(b) [2] Average e.m.f.:
When the coil is parallel to the field, the normal is perpendicular to B, so Φ_final = 0.
Change in flux linkage = N × ΔΦ = 50 × (0.010 − 0) = 0.50 Wb
e.m.f. = Δ(NΦ) / Δt = 0.50 / 0.10 = 5.0 V
Marking:
- 1 mark for calculating change in flux linkage correctly.
- 1 mark for correct final answer with unit (5.0 V).
Common mistakes:
- Forgetting to multiply by number of turns (N = 50) — this is a critical error; deduct 1 mark.
- Using wrong angle for initial flux.
Question 10 [3]
Expected answer (3 marks):
- Power transmitted: P = V × I
- For a given power, increasing the voltage reduces the current (I = P / V)
- Power lost in cables: P_loss = I² × R
- Since P_loss depends on I², reducing the current greatly reduces the energy lost as heat
- Therefore, transmitting at high voltage minimises energy loss in the cables
Marking scheme:
- 1 mark for stating that high voltage means low current for the same power.
- 1 mark for stating that power loss = I²R (or equivalent reasoning).
- 1 mark for concluding that lower current means less power lost as heat.
Common mistakes:
- Simply stating "less energy is lost" without explaining why — award only 1 mark.
- Confusing voltage and current — no marks if the reasoning is fundamentally wrong.
Question 11 [4]
(a) [2] For the coil to rotate clockwise:
- Side AB (on the left) must experience a force downward.
- Using Fleming's left-hand rule: field (N→S, left to right), force (downward) → current must be from A to B (into the page at side AB, but since AB is the left side, current flows from A at the top to B at the bottom — i.e., downward).
Marking:
- 1 mark for correct direction (A to B, or downward in side AB).
- 1 mark for correct explanation referencing Fleming's left-hand rule.
(b) [2] Any two of:
- Increase the current in the coil
- Use stronger magnets (increase magnetic field strength)
- Increase the number of turns on the coil
- Increase the area of the coil
Marking: 1 mark each, maximum 2 marks.
Question 12 [3]
(a) [2] Current:
V = I × R
I = V / R = 12 / 4.0 = 3.0 A
Marking:
- 1 mark for correct formula or substitution.
- 1 mark for correct answer with unit (3.0 A).
(b) [1] Charge:
Q = I × t = 3.0 × 30 = 90 C
Marking:
- 1 mark for correct answer with unit (90 C).
Question 13 [3]
Lenz's Law [1]: The direction of the induced current is such that it opposes the change producing it (or opposes the change in magnetic flux).
Explanation [2]:
- As the magnet falls through the copper tube, the changing magnetic flux induces eddy currents in the tube.
- By Lenz's Law, the eddy currents create a magnetic field that opposes the motion of the magnet (i.e., exerts an upward force on the falling magnet).
- As the magnet speeds up, the opposing force increases until it equals the weight of the magnet.
- At this point, the net force is zero and the magnet falls at a constant (terminal) velocity.
Marking scheme:
- 1 mark for correct statement of Lenz's Law.
- 1 mark for explaining that eddy currents are induced and create an opposing force.
- 1 mark for explaining that terminal velocity is reached when the opposing force equals the weight.
Question 14 [3]
(a) [2] Total power:
P_total = 2400 + 1200 + (3 × 60) = 2400 + 1200 + 180 = 3780 W
Total current:
I_total = P_total / V = 3780 / 240 = 15.75 A
Marking:
- 1 mark for correct total power.
- 1 mark for correct total current with unit (15.75 A or 15.8 A).
(b) [1] Yes, the fuse will blow because the total current drawn (15.75 A) exceeds the fuse rating of 15 A.
Marking:
- 1 mark for correct conclusion with valid reasoning.
Section C: Free Response / Application [20 marks]
Question 15 [5]
(a) [2] Current at 250 V:
P = V × I
I = P / V = 10 000 / 250 = 40 A
Marking:
- 1 mark for correct formula.
- 1 mark for correct answer with unit (40 A).
(b) [1] Power lost at 250 V:
P_loss = I² × R = 40² × 4.0 = 1600 × 4.0 = 6400 W
Marking:
- 1 mark for correct answer with unit (6400 W).
(c) [2] Power lost at 2500 V:
New current: I = P / V = 10 000 / 2500 = 4.0 A
P_loss = I² × R = 4.0² × 4.0 = 16 × 4.0 = 64 W
Marking:
- 1 mark for calculating the new current correctly.
- 1 mark for correct final answer with unit (64 W).
Common mistakes:
- Using the same current (40 A) for part (c) — this is a critical error.
- Forgetting to square the current in P = I²R.
Question 16 [5]
(a) [2] Peak voltage:
From the trace: peak is 2 divisions above the centre line.
V_peak = 2 × 5.0 = 10.0 V
Marking:
- 1 mark for reading 2 divisions correctly from the diagram.
- 1 mark for correct answer with unit (10.0 V).
(b) [2] Frequency:
From the trace: one complete cycle spans 30 ms (3 divisions on time-base at 10 ms/div).
Period T = 30 ms = 30 × 10⁻³ s = 0.030 s
f = 1 / T = 1 / 0.030 = 33.3 Hz (or 33 Hz)
Marking:
- 1 mark for correct period reading.
- 1 mark for correct frequency with unit (33.3 Hz).
(c) [1] No, this a.c. supply is not suitable for charging a 12 V d.c. battery because the peak voltage (10.0 V) is less than the 12 V required, and the supply is alternating current, not direct current. A battery charger requires d.c. and a voltage higher than the battery voltage.
Marking:
- 1 mark for correct conclusion with valid reasoning.
Question 17 [5]
(a) [2] To induce a current:
- The student should move the bar magnet into or out of the solenoid (relative motion between the magnet and solenoid).
- Alternatively, the student could move the solenoid towards or away from the stationary magnet.
Marking:
- 1 mark for describing relative motion.
- 1 mark for specifying that the magnet must be moved into or out of the solenoid (not held stationary).
(b) [2] Any two of:
- Move the magnet faster (increase speed of movement)
- Use a stronger magnet
- Increase the number of turns on the solenoid
Marking: 1 mark each, maximum 2 marks.
(c) [1] The end of the solenoid nearest the magnet becomes a north pole.
Explanation: By Lenz's Law, the induced current opposes the change. Since the north pole is approaching, the solenoid creates a north pole at the nearest end to repel the approaching magnet and oppose the increase in flux.
Marking:
- 1 mark for correct polarity (north) with correct explanation referencing Lenz's Law.
Question 18 [5]
(a) [1] Input power:
P_in = V_in × I_in = 240 × 0.050 = 12.0 W
Marking:
- 1 mark for correct answer with unit (12.0 W).
(b) [2] Output power:
η = P_out / P_in
0.90 = P_out / 12.0
P_out = 0.90 × 12.0 = 10.8 W
Marking:
- 1 mark for correct formula or substitution.
- 1 mark for correct answer with unit (10.8 W).
(c) [2] Output current:
P_out = V_out × I_out
I_out = P_out / V_out = 10.8 / 5.0 = 2.16 A
Marking:
- 1 mark for correct formula or substitution.
- 1 mark for correct answer with unit (2.16 A).
Common mistakes:
- Using input power instead of output power in part (c) — deduct 1 mark.
- Forgetting to convert efficiency percentage to decimal — this would give P_out = 1080 W, which is clearly wrong.
Summary of Marks
| Section | Marks |
|---|---|
| Section A: Multiple Choice (Q1–Q5) | 10 |
| Section B: Structured Questions (Q6–Q14) | 30 |
| Section C: Free Response (Q15–Q18) | 20 |
| Total | 60 |
© TuitionGoWhere Secondary School (AI) — Preliminary Examination Practice, Version 2 of 5 — Answer Key