Question

Write the mathematical formula for Bohr magneton for an electron revolving in \( n \)th orbit.

Hint:

The Bohr magneton is a fundamental constant in atomic physics that relates the magnetic moment of an electron to its angular momentum.

Answer 1

Step 1: Understanding the Bohr magneton.
The Bohr magneton \( \mu_B \) is the magnetic moment of an electron in a hydrogen atom. It is given by the formula: \[ \mu_B = \frac{e \hbar}{2m_e} \] where \( e \) is the charge of the electron, \( \hbar \) is the reduced Planck constant, and \( m_e \) is the mass of the electron.
Step 2: Conclusion.
The formula for the Bohr magneton is \( \mu_B = \frac{e \hbar}{2m_e} \).