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MHT CET · Physics · Atomic Physics

An electron is revolving in a circular orbit of radius \(r\) 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

  1. A \(m=-\frac{L}{R}\)
  2. B \(\mathrm{m}=-\mathrm{RL}\)
  3. C \(\mathrm{m}=-\mathrm{RL}^2\)
  4. D \(\mathrm{m}=\frac{\mathrm{R}}{\mathrm{L}}\)
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Answer & Solution

Correct Answer

(B) \(\mathrm{m}=-\mathrm{RL}\)

Step-by-step Solution

Detailed explanation

\(\begin{aligned} & \text { Gyromagnetic ratio }(R)=\frac{m}{L} \\ \therefore \quad & m=-R L\end{aligned}\)
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