The magnetic moment of an iron bar is \(\mathrm{M}\). It is now bent in such a way that it forms an arc section of a cir…
Q1 FREE PREVIEW
The magnetic moment of an iron bar is \(\mathrm{M}\). It is now bent in such a way that it forms an arc section of a circle subtending an angle of \(60^\circ\) at the centre. The magnetic moment of this arc section is :
[Re-NEET 2024]
✓ Correct answer: a)
\(\frac{3\mathrm{M}}{\pi }\)
Explanation
- Arc Length = L = Rθ (θ=π/3). Chord Length L' = 2Rsin(θ/2) = 2Rsin(π/6) = R. Since R = L/θ = 3L/π, the new magnetic length is L' = 3L/π.
- New Moment M' = m × L' = m × (3L/π). Substitute m = M/L. M' = (M/L) × (3L/π) = 3M/π.
(NEW NCERT 12th Page No. 137, 138)
Practice more Board Physics PYQs
See every question on Magnetism and Matter, or browse the full Board question bank.
See all questions on Magnetism and Matter →