Based on detailed analysis of last 5 years' papers. Perfect for 2026 Boards prep!
| Question Example | Type/Marks | Years Repeated | Notes |
|---|---|---|---|
| Derive expression for force on a current-carrying conductor in uniform magnetic field. Also find torque on rectangular current loop (magnetic moment). | Derivation (3-4 marks) | 2021, 2022, 2023, 2024, 2025 | Repeated 5x; F = I (l × B), τ = m × B = m B sinθ (m = I A). |
| A charged particle (charge q, mass m, velocity v) enters uniform magnetic field B perpendicularly. Find radius & time period of circular path (cyclotron motion). | Numerical/Derivation (3 marks) | 2021 Term 2, 2022, 2023, 2024 | Repeated 4x; r = mv / (qB), T = 2πm / (qB), cyclotron frequency f = qB/(2πm). |
| Using Ampere’s circuital law, derive magnetic field inside a long solenoid and toroid. | Derivation (3-4 marks) | 2022, 2023, 2024, 2025 | Repeated 4x; Solenoid: B = μ₀ n I; Toroid: B = μ₀ N I / (2πr). |
| Assertion: Magnetic field lines form closed loops. Reason: No magnetic monopoles exist (div B = 0). | Assertion-Reason (1 mark) | 2023, 2024, 2025 | Repeated 3x; Both true, reason explains. |
| Find force between two parallel current-carrying wires (infinite length) separated by d (attractive/repulsive). | Short Answer (2 marks) | 2021 Term 1, 2022, 2023, 2025 | Repeated 4x; F/l = (μ₀ I1 I2)/(2π d); attractive if same direction, repulsive if opposite. |
| A proton/electron enters magnetic field at angle θ to B. Find radius of helical path & pitch. | Numerical (3 marks) | 2022, 2023, 2024 | Repeated 3x; r = (mv sinθ)/(qB), pitch = v cosθ × T = (2π m v cosθ)/(qB). |
| MCQ: The SI unit of magnetic moment is: (a) A m² (b) J/T (c) both (d) Wb/m² | MCQ (1 mark) | 2021 Term 1, 2023, 2024 | Repeated 3x; Answer (c) both (A m² = J/T). |
| Explain principle & working of moving coil galvanometer. How to convert it into ammeter/voltmeter. | Short Answer (3 marks) | 2023, 2025 | Repeated 2x; Torque τ = N I A B sinθ = kθ; Shunt for ammeter, series resistance for voltmeter. |
| Case-based: Charged particle in crossed E & B fields (velocity selector) or cyclotron application. | Case-Based (4 marks) | 2023, 2025 | Repeated 2x; v = E/B for undeflected path; cyclotron frequency independent of v. |
| Find magnetic field at centre of current-carrying circular loop or arc. | Short Answer (2 marks) | 2021 Term 2, 2024 | Repeated 2x; B = (μ₀ I)/(2R) at centre; for arc B = (μ₀ I θ)/(4π R). |
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