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Secondary 4 Pure Physics Practice Paper 5
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TuitionGoWhere Practice Paper — Pure Physics Secondary 4
Answer Key — Version 5 of 5
Subject: Pure Physics
Topic: Electricity & Magnetism
Total Marks: 80
Section A — Multiple Choice (10 marks)
1. B — 11.5 V
Working: V_s / V_p = N_s / N_p → V_s = 230 × (100 / 2000) = 11.5 V
[1]
2. B — Concentric circles around the wire, direction given by the right-hand grip rule
[1]
3. C — 3 W
Working: P = V² / R = 6² / 12 = 36 / 12 = 3 W
[1]
4. B — 0.4 N
Working: F = BIL = 0.4 × 5 × 0.2 = 0.4 N
[1]
5. B — An induced e.m.f. is produced only when the magnetic flux linkage through a coil changes.
[1]
6. B — 400 W
Working: η = P_out / P_in → P_out = 0.80 × 500 = 400 W
[1]
7. C — The current can flow to each appliance via two paths, reducing cable heating.
[1]
8. C — A circle
[1]
9. B — Tesla (T)
[1]
10. B — 600 000 J
Working: E = Pt = 2000 × (5 × 60) = 2000 × 300 = 600 000 J
[1]
Section B — Structured Questions (45 marks)
11.
(a) Step-down transformer.
[1]
(b) V_s / V_p = N_s / N_p
V_s = V_p × (N_s / N_p) = 230 × (60 / 1200) = 230 × 0.05 = 11.5 V
[2]
Marking: 1 mark for correct formula/substitution, 1 mark for correct answer with unit.
(c) Lamination reduces eddy currents. In a solid iron core, large eddy currents would flow, causing significant energy loss as heat. The laminated layers are insulated from each other, which increases the resistance to eddy current flow and reduces energy loss.
[2]
Marking: 1 mark for mentioning eddy currents, 1 mark for explaining how lamination reduces them.
12.
(a) Sketch should show:
- Field lines emerging from the north pole and entering the south pole
- At least four curved field lines
- Arrows on field lines pointing from N to S
- Field lines closer together near the poles (stronger field)
[2]
(b) The compass needle will point away from the north pole (i.e., along the field line direction, away from N and towards S).
[1]
(c) A magnetic field line is a line along which a free north pole would move. It shows the direction of the magnetic field at any point (tangent to the line) and the density of lines indicates the strength of the field.
[2]
Marking: 1 mark for direction concept, 1 mark for strength/density concept.
13.
(a) Fleming's left-hand rule: Hold the thumb, first finger, and second finger of the left hand mutually at right angles. The First finger points in the direction of the Field, the seCond finger in the direction of the Current, and the thuMb in the direction of the Motion (force).
[2]
Marking: 1 mark for stating the rule, 1 mark for correct finger assignments.
(b) Using Fleming's left-hand rule: current (second finger) is left to right, force (thumb) is upwards, so the field (first finger) must point into the page (away from the observer). Therefore, the magnetic field direction is from N to S pointing into the page — the N pole is behind and the S pole is in front.
[1]
(c) F = BIL. If I is doubled (×2) and B is halved (×½), then F_new = (B/2) × (2I) × L = BIL = F_original. The force remains the same.
[2]
Marking: 1 mark for stating the formula, 1 mark for correct conclusion with reasoning.
14.
(a) Change in flux linkage = N × ΔΦ = 200 × (0.08 − 0.02) = 200 × 0.06 = 12 Wb turns
[2]
Marking: 1 mark for correct substitution, 1 mark for correct answer.
(b) Average induced e.m.f. = change in flux linkage / time = 12 / 0.5 = 24 V
[2]
Marking: 1 mark for correct formula, 1 mark for correct answer.
(c) Any one of:
- Increase the number of turns on the coil
- Increase the rate of change of magnetic flux (e.g., move the magnet faster)
- Use a stronger magnet
[1]
15.
(a) Labels:
- Coil — the rectangular loop of wire that rotates
- Split-ring commutator — the two semi-circular metal rings attached to the coil ends
- Carbon brushes — the stationary contacts pressing against the commutator
- Permanent magnets — the N and S poles providing the magnetic field
[2]
Marking: ½ mark per correct label (4 labels).
(b) The split-ring commutator reverses the direction of the current in the coil every half-turn. This ensures that the force on each side of the coil always acts in the same rotational direction, allowing the coil to rotate continuously in one direction.
[2]
Marking: 1 mark for reversing current, 1 mark for maintaining continuous rotation.
(c) Any two of:
- Increase the current through the coil
- Increase the strength of the magnetic field
- Increase the number of turns on the coil
- Increase the area of the coil
[2]
Marking: 1 mark each.
16.
(a) Using I = P / V:
- Oven: I = 3000 / 230 = 13.0 A
- Microwave: I = 1200 / 230 = 5.2 A
- Kettle: I = 2200 / 230 = 9.6 A
- Toaster: I = 800 / 230 = 3.5 A
[2]
Marking: ½ mark per correct current (4 appliances).
(b) Total current = 13.0 + 9.6 = 22.6 A
[2]
Marking: 1 mark for correct addition, 1 mark for correct answer.
(c) Yes, the fuse will blow because 22.6 A > 13 A. The total current exceeds the fuse rating.
[2]
Marking: 1 mark for comparison, 1 mark for correct conclusion.
(d) A 30 A fuse would allow excessive current to flow through the wiring before melting. This could cause the wires to overheat, potentially starting a fire. The fuse is designed to protect the wiring, not just the appliances.
[2]
Marking: 1 mark for excessive current concept, 1 mark for fire/overheating risk.
17.
(a) B = μ₀I / (2πr)
[1]
(b) B = (4π × 10⁻⁷ × 4) / (2π × 0.05) = (16π × 10⁻⁷) / (0.1π) = 1.6 × 10⁻⁵ T
[2]
Marking: 1 mark for correct substitution, 1 mark for correct answer with unit.
(c) Using the right-hand grip rule: if the current flows from A to B, the magnetic field at point P (to the side of the wire) is directed into the page (or perpendicularly into the plane of the paper, depending on the geometry).
[1]
(d) The two wires carry equal currents in opposite directions. By the right-hand grip rule, the magnetic field from each wire at point P will be in the same direction (both into the page or both out of the page, depending on geometry). The resultant field at P will be the sum of the two individual fields, so the field will be doubled in magnitude.
[2]
Marking: 1 mark for same direction, 1 mark for doubling.
18.
(a) Transmitting at high voltage reduces the current in the cables (since P = IV, for constant power, higher V means lower I). Lower current means less power lost as heat in the cables (since P_loss = I²R), making transmission more efficient.
[2]
Marking: 1 mark for reduced current, 1 mark for reduced power loss.
(b) V_s = V_p × (N_s / N_p) = 25 000 × (500 / 10 000) = 25 000 × 0.05 = 1250 V
[2]
Marking: 1 mark for correct formula, 1 mark for correct answer.
(c) P = IV → I = P / V = 500 000 / 25 000 = 20 A
[2]
Marking: 1 mark for correct formula, 1 mark for correct answer.
(d) P_loss = I²R = 20² × 20 = 400 × 20 = 8000 W (or 8 kW)
[2]
Marking: 1 mark for correct formula, 1 mark for correct answer.
Section C — Free Response (25 marks)
19.
(a) As the coil rotates in the magnetic field:
- The magnetic flux linkage through the coil changes continuously. When the coil is perpendicular to the field, flux linkage is maximum. When parallel, it is zero.
- The rate of change of flux linkage is greatest when the coil is parallel to the field (flux linkage changing fastest) and zero when perpendicular (at maximum/minimum flux linkage).
- By Faraday's law, the induced e.m.f. is proportional to the rate of change of flux linkage. Therefore, the e.m.f. is maximum when the coil is parallel to the field and zero when perpendicular.
- As the coil rotates through 180°, the direction of the flux linkage change reverses, causing the e.m.f. to reverse direction. This produces an alternating e.m.f.
[5]
Marking: 1 mark each for: flux linkage variation, rate of change concept, Faraday's law application, direction reversal, and clear explanation of a.c. generation.
(b) Graph should show:
- A sinusoidal wave (sine curve)
- y-axis labelled "Induced e.m.f. / V" with peak value marked (e.g., E₀)
- x-axis labelled "Time / t" with period T marked
- One complete cycle shown
- Correct shape: starts at zero, rises to positive peak, returns to zero, goes to negative peak, returns to zero
[3]
Marking: 1 mark for sinusoidal shape, 1 mark for correct axes labels, 1 mark for peak and period indicated.
(c) Any two of:
- Increase the speed of rotation of the coil
- Increase the number of turns on the coil
- Use stronger magnets (increase magnetic field strength)
- Increase the area of the coil
[2]
Marking: 1 mark each.
20.
(a) Using Fleming's left-hand rule:
- The magnetic field is directed vertically downwards (first finger points down).
- The current flows through the rod along the rails (second finger points along the rod).
- The thumb (force) points to the right, which is consistent with the rod rolling to the right.
- The force arises because the current-carrying conductor experiences a force in a magnetic field due to the interaction between the magnetic field and the moving charges in the conductor.
[3]
Marking: 1 mark for identifying the three directions, 1 mark for applying the rule correctly, 1 mark for explaining the origin of the force.
(b)(i) The force is directly proportional to the current (F ∝ I). As the current doubles, the force doubles.
[1]
(b)(ii) From F = BIL, rearranging: B = F / (IL)
Using any data point, e.g., I = 1.0 A, F = 0.04 N:
B = 0.04 / (1.0 × 0.2) = 0.04 / 0.2 = 0.2 T
[3]
Marking: 1 mark for correct formula rearrangement, 1 mark for correct substitution, 1 mark for correct answer with unit.
(c) Original: F = BIL = 0.2 × 2.0 × 0.2 = 0.08 N
New conditions: B' = 2B = 0.4 T, L' = L/2 = 0.1 m, I = 2.0 A
F' = B' × I × L' = 0.4 × 2.0 × 0.1 = 0.08 N
The new force is 0.08 N (the same as before, because doubling B and halving L cancel out).
[3]
Marking: 1 mark for identifying new values, 1 mark for correct substitution, 1 mark for correct answer.
End of Answer Key
This answer key was generated by TuitionGoWhere AI. Mark allocations are indicative and may vary in actual examination conditions. Students should consult their teachers for detailed marking guidance.