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Bar Magnet & Magnetic Moment question from NEET 2024

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Bar Magnet & Magnetic Moment

The magnetic moment of an iron bar is MM. It is now bent in such a way that it forms an arc section of a circle subtending an angle of 60∘60^\circ at the centre. The magnetic moment of this arc section is

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Answer: (a)

  1. Pole strength m=M/Lm = M/L is unchanged; M′=m×M' = m\times chord.
  2. Arc LL subtends 60∘=π/360^\circ = \pi/3: r=3Lπr = \dfrac{3L}{\pi}.
  3. With 60∘60^\circ at the centre the triangle is equilateral, so chord =r=3Lπ= r = \dfrac{3L}{\pi}.
  4. M′=ML⋅3Lπ=3MπM' = \dfrac{M}{L}\cdot\dfrac{3L}{\pi} = \dfrac{3M}{\pi}
  5. So the answer is (a) 3Mπ\frac{3M}{\pi}.
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