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NEET 2014 (AIPMT) · Bar Magnet & Magnetic Moment

Bar Magnet & Magnetic Moment question from NEET 2014 (AIPMT)

Q11NEET 2014 · AIPMTMedium

Bar Magnet & Magnetic Moment

Following figures show the arrangement of bar magnets in different configurations. Each magnet has magnetic dipole moment m⃗.\vec{m}. Which configuration has highest net magnetic dipole moment?

Figure

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Answer: (c)

  1. Each moment points from S to N; add them as vectors: Mnet=2mcos⁡(θ/2)M_{net} = 2m\cos(\theta/2) for angle θ\theta between them.
  2. (1) θ=90∘\theta = 90^\circ: 2 m≈1.41m\sqrt2\,m \approx 1.41m. (2) Antiparallel: 00.
  3. (3) θ=30∘\theta = 30^\circ: 2mcos⁡15∘≈1.93m2m\cos15^\circ \approx 1.93m.
  4. (4) θ=60∘\theta = 60^\circ: 2mcos⁡30∘=3 m≈1.73m2m\cos30^\circ = \sqrt3\,m \approx 1.73m.
  5. So the answer is (c) configuration (3).
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