Question

What are the gyromagnetic ratio and Bohr magneton?

• A. \( \frac{e}{2m_e} \) and \( \frac{e h}{4\pi m} \)
• B. \( \frac{e}{m_e} \) and \( \frac{e h}{2\pi m} \)
• C. \( \frac{m_e}{e} \) and \( \frac{e h}{2\pi m_e} \)
• D. \( \frac{e}{m_e} \) and \( \frac{e h}{4\pi m_e} \)

Hint:

Gyromagnetic ratio relates to the magnetic moment of a particle, and Bohr magneton is a physical constant.

Answer 1

The Correct Option is A

The gyromagnetic ratio (\( \gamma \)) is given by: \[ \gamma = \frac{e}{2m_e}, \] where \(e\) is the charge of the electron and \(m_e\) is the electron mass. The Bohr magneton (\( \mu_B \)) is defined as: \[ \mu_B = \frac{e h}{4\pi m}. \]