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AIIMS 2009
Exam
AIIMS
Year
2009
Subject
Physics
Chapter
Magnetic Effects of Current

AIIMS 2009 · Physics · Magnetic Effects of Current

What is ratio of Bohr magneton to the nuclear magneton?

What is ratio of Bohr magneton to the nuclear magneton?

Options

  1. Amp/mem_p / m_e
  2. Bmp2/me2m_p^2 / m_e^2
  3. C11
  4. Dmemp\frac{m_e}{m_p}

Correct answer

A. mp/mem_p / m_e

Step-by-step solution

Magnetic moment associated with electrons orbitting around the nucleus is given in terms of Bohr magneton (μB)μB=eℏ2mee=\left(\mu_B\right) \mu_B=\frac{e \hbar}{2 m_e} e= electronic charge, me=m_e= electronic mass. In nuclear physics, magnetic moments associated with the spins of protons and neutrons are expressed in nuclear magnetons (μN)μN=eℏ2mp\left(\mu_N\right) \mu_N=\frac{e \hbar}{2 m_p}mp= mass of a proton. ⇒μBμN=mpme\begin{aligned} & m_p=\text{ mass of a proton. } \\ & \Rightarrow \frac{\mu_B}{\mu_N}=\frac{m_p}{m_e}\end{aligned}$$
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