CBSE Class 12 Physics sample paper 2026-27: question 28
From the official CBSE sample question paper for 2026-27, section C, question 28, for 3 marks. Try it first; the hints and our step-by-step solution are below.
Q28 · 3 marks · Short answerElectromagnetic Induction
I. A bar magnet falls from a height through a metal ring. Its acceleration will be less than ‘g’. Explain.
II. A coil of copper wire is wound uniformly on a wooden equilateral triangular frame. If each side of the triangle is increased to 5 times its original length, while keeping the number of turns per unit length unchanged, how does the self-inductance of the coil change?
Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2026-27.
Hints
Open one hint at a time and try again before the next.
Hint 1
For I, what does Lenz's law say about the force on the moving magnet?
Hint 2
For II, write L in terms of N, A and l, and see how each scales.
Hint 3
Area scales as the square of linear size.
Step-by-step solution
Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.
- 1 mark
I. As the magnet falls towards the ring, the flux linked with the ring changes, inducing a current. By Lenz's law this current opposes the cause (the magnet's motion), exerting an upward force on the magnet; hence its acceleration is less than .
- ½ mark
II. Self-inductance of the coil: (equivalently ). With turns per unit length fixed, making each side 5 times gives and .
- ½ mark
Area of an equilateral triangle ∝ (side), so .
- ½ mark
- ½ mark
, so — the self-inductance becomes 125 times.
Answer: I. Induced current opposes fall (Lenz's law); II. L′ = 125 L
Where the marks are
- Lenz's law: induced current opposes motion of magnet (1 mark)
- L ∝ N²A/l with N → 5N, l → 5l (½ mark)
- A → 25A (½ mark)
- Correct ratio expression (½ mark)
- L′ = 125L (½ mark)
Revise the chapter
- Chapter: Electromagnetic Induction (notes, formulas, where marks are lost and every past question)
- Topic: Self and Mutual Inductance
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