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Bar Magnet & Magnetic Moment question from NEET 2013

Q12NEET 2013Easy

Bar Magnet & Magnetic Moment

A bar magnet of length ′l′'l' and magnetic dipole moment 'M' is bent in the form of an arc as shown in figure. The new magnetic dipole moment will be

Figure

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Answer: (d)

  1. Pole strength m=M/lm = M/l is unchanged.
  2. Arc of length ll subtends 60∘=π/360^\circ = \pi/3: r⋅π3=l⇒r=3lπr\cdot\dfrac{\pi}{3} = l \Rightarrow r = \dfrac{3l}{\pi}.
  3. The two radii and the chord form an equilateral triangle, 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 (d) 3πM\frac{3}{\pi}M.
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