NUMS — Medical & Dental Entry Test
Take the NUMS Physics — Electricity and Magnetism (Set 1): 30 multiple-choice questions (40 minutes) with instant scoring and a full answer review. Covers…
What this test covers
The first 5 questions of this test, with the correct answer and explanation.
Q1. Two point charges repel each other with a force F. If the distance between them is halved, what will the force become?
Answer: C. 4F
Explanation: Coulomb's law F ∝ 1/r²; halving r multiplies the force by 2² = 4.
Q2. What is the electric field strength 0.3 m from a point charge of +2 μC in air? (k = 9 × 10⁹ N m² C⁻²)
Answer: B. 2 × 10⁵ N C⁻¹
Explanation: E = kq/r² = 9 × 10⁹ × 2 × 10⁻⁶/0.09 = 2 × 10⁵ N C⁻¹.
Q3. For an isolated +2 μC point charge, find the potential (work done per unit positive charge brought from infinity) at a point 30 cm away. (k = 9 × 10⁹ N m² C⁻²)
Answer: A. 6 × 10⁴ V
Explanation: V = kq/r = 9 × 10⁹ × 2 × 10⁻⁶/0.3 = 6 × 10⁴ V.
Q4. How much work is needed to move a charge of 5 μC between two points on the same equipotential surface?
Answer: A. Zero
Explanation: W = qΔV and ΔV = 0 between points on an equipotential surface, so no work is done.
Q5. A slab of dielectric with relative permittivity 5 completely fills the gap of an air-filled parallel-plate capacitor. What happens to its capacitance?
Answer: A. It becomes 5 times larger
Explanation: C = εᵣε₀A/d, so C increases by the factor εᵣ = 5.
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Q6. A defibrillator's 100 μF capacitor is charged to 2000 V. How much energy is stored for the shock?
Q7. Two 4 μF capacitors are connected in series. What is the equivalent capacitance?
Q8. In a cathode-ray tube, electrons leaving the hot filament are pulled across a 100 V gap between cathode and anode. What kinetic energy, in joules, does each electron acquire? (e = 1.6 × 10⁻¹⁹ C)
Q9. A current of 2 A flows through a heating coil for 5 s. How many electrons pass any cross-section of the coil? (e = 1.6 × 10⁻¹⁹ C)
Q10. A wire is stretched so that its length doubles and its cross-sectional area halves. What happens to its resistance?
Q11. Resistors of 6 Ω and 3 Ω are connected in parallel. What is their combined resistance?
Q12. A sterilising heater is rated 1100 W, 220 V. What is the resistance of its element when operating normally?
Q13. A portable suction pump of resistance 5 Ω runs from a 12 V battery whose internal resistance is 1 Ω. What voltage is actually available across the pump's terminals?
Q14. Kirchhoff's first (junction) rule — the sum of currents into a junction equals the sum out of it — is a consequence of the conservation of:
Q15. A Wheatstone bridge with resistors P, Q, R and S is balanced, so the galvanometer shows no current. Which relation holds?
Q16. As the temperature rises, how does the resistance change for a copper wire and for a pure silicon thermistor?
Q17. A proton moves through a uniform magnetic field. In which situation does it experience no magnetic force?
Q18. A charged particle moves in a circle perpendicular to a uniform magnetic field. If its speed is doubled, the radius of its path will:
Q19. A 0.1 m length of wire carrying 2 A lies perpendicular to a uniform magnetic field of 0.5 T. What force acts on it?
Q20. An MRI scanner uses a long solenoid. For a solenoid with 1000 turns per metre carrying 2 A, what is the magnetic field inside? (μ₀ = 4π × 10⁻⁷ T m A⁻¹)
Q21. How is a moving-coil galvanometer converted into an ammeter?
Q22. The magnetic flux through a 100-turn coil changes by 0.02 Wb in 0.1 s. What emf is induced in the coil?
Q23. Lenz's law states that an induced current opposes the change producing it. This law is a direct consequence of the conservation of:
Q24. A transformer in a hospital device steps 220 V mains down to 11 V. If the primary coil has 2000 turns, how many turns does the secondary have?
Q25. An alternating voltage has a peak value of 311 V. What is its rms value?
Q26. As the frequency of an AC supply increases, how do the reactances of a pure inductor and a pure capacitor change?
Q27. A changing current in one coil induces an emf in a nearby coil. What is this phenomenon called?
Q28. Why are the cores of transformers made of thin insulated laminations rather than solid iron?
Q29. A 10 kΩ resistor is connected in series with a 100 μF capacitor in an ECG filter circuit. What is the time constant of the circuit?
Q30. The property ρ in R = ρL/A depends only on the material of a wire. In which SI unit is ρ measured?