Q139 / 150 · MHT CET 2024 (15 May Shift 2) · 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

  • A
    $m=-\frac{L}{R}$
  • Correct answer
    B
    $\mathrm{m}=-\mathrm{RL}$
  • C
    $\quad \mathrm{m}=-\mathrm{RL}^2$
  • D
    $\mathrm{m}=\frac{\mathrm{R}}{\mathrm{L}}$

Solution

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

Hence, the correct answer is option: 'B'.

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