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MHT CET 2024 (15 May, Shift 2) · Current Loop as a Magnetic Dipole

Current Loop as a Magnetic Dipole question from MHT CET 2024 (15 May, Shift 2)

Q36MHT CET 2024 · 15 MAY · SHIFT 2Medium

Current Loop as a Magnetic Dipole

An electron is revolving in a circular orbit of radius rr in a hydrogen atom. The angular momentum of the electron is L. The relation between dipole moment (m) associated with it, gyromagnetic ratio ( R) and L is

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Answer: (b)

  1. For an orbiting electron m⃗=−e2meL⃗\vec{m} = -\frac{e}{2m_e}\vec{L}; the minus sign is because the electron's charge is negative.
  2. Gyromagnetic ratio R=e2meR = \frac{e}{2m_e}.
  3. So the answer is (b) m=−RLm = -RL.
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