An electron is moving in an orbit around the | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The orbital magnetic moment $\vec{m}$ of an electron revolving in a circular orbit is given by $\vec{m} = I \vec{A}$,where $I$ is the current and

Vedclass · Accepted Answer

$m$ and $L$ are in opposite directions perpendicular to the plane of the orbit.

Vedclass · Answer

(A) The orbital magnetic moment $\vec{m}$ of an electron revolving in a circular orbit is given by $\vec{m} = I \vec{A}$,where $I$ is the current and $\vec{A}$ is the area vector. Since the electron is negatively charged,the direction of the equivalent current $I$ is opposite to the direction of the electron's motion. By the right-hand rule,the direction of $\vec{m}$ is perpendicular to the plane of the orbit.The angular momentum $\vec{L}$ of the electron is given by $\vec{L} = \vec{r} 	imes \vec{p}$,where $\vec{p} = m_e \vec{v}$ is the linear momentum. According to the right-hand rule for the cross product,the direction of $\vec{L}$ is also perpendicular to the plane of the orbit.Because the electron has a negative charge,the direction of the magnetic moment $\vec{m}$ is opposite to the direction of the angular momentum $\vec{L}$. Therefore,$\vec{m}$ and $\vec{L}$ are in opposite directions perpendicular to the plane of the orbit.

An electron is moving in an orbit around the nucleus in an atom. Let $m$ be the orbital magnetic moment and $L$ be the angular momentum of the electron,then

Similar Questions

The magnetic moment $(\mu)$ of a revolving electron around the nucleus varies with principal quantum number $n$ as

What is the gyromagnetic ratio? Give its magnitude.

$A$ particle of charge '$q$' and mass '$m$' moves in a circular orbit of radius '$r$' with angular speed '$\omega$'. The ratio of the magnitude of its magnetic moment to that of its angular momentum depends on

The gyromagnetic ratio of an electron is equal to . . . . . . times the specific charge of an electron.

Vedclass Test Series

Exam Paper Generator

Online Exam Module