A proton moves on a circular path with a cons | vedclass

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

Question

(B) The magnetic moment $M$ of a charge $e$ moving in a circular path of radius $r$ with speed $v$ is given by $M = I A$,where $I = \frac{e}{T}$ and $

Vedclass · Accepted Answer

$\vec M = \frac{e\vec L}{2m_p}$

Vedclass · Answer

(B) The magnetic moment $M$ of a charge $e$ moving in a circular path of radius $r$ with speed $v$ is given by $M = I A$,where $I = \frac{e}{T}$ and $T = \frac{2\pi r}{v}$.Thus,$M = \frac{e}{2\pi r / v} 	imes \pi r^2 = \frac{evr}{2}$.The angular momentum $L$ of the proton is $L = m_p v r$,which implies $vr = \frac{L}{m_p}$.Substituting this into the expression for $M$,we get $M = \frac{e}{2} \left( \frac{L}{m_p} ight) = \frac{eL}{2m_p}$.Since the proton is a positively charged particle,the direction of the magnetic moment $\vec M$ is the same as the direction of the angular momentum $\vec L$ (given by the right-hand rule).Therefore,the vector relation is $\vec M = \frac{e}{2m_p} \vec L$.

Column $I$	Column $II$
$(a)$ $XX$-$XO$ method of sex determination	$(i)$ Turner's syndrome
$(b)$ $XX$-$XY$ method of sex determination	$(ii)$ Female heterogametic
$(c)$ Karyotype-$45$	$(iii)$ Grasshopper
$(d)$ $ZW$-$ZZ$ method of sex determination	$(iv)$ Female homogametic

$A$ proton moves on a circular path with a constant angular speed. What is the correct relation between its magnetic moment $\vec M$ and angular momentum $\vec L$?

Similar Questions

$A$ satellite of mass $m$,initially at rest on the Earth,is launched into a circular orbit at a height equal to the radius of the Earth. The minimum energy required is

Which of the following is a self-adjusting force?

Which of the following forms a colloidal solution in water?

An infinitely long straight conductor $AB$ is fixed and a current $i_1$ is passed through it. Another movable straight wire $CD$ of finite length carrying current $i_2$ is held perpendicular to it and released. Neglect the weight of the wire.

Vedclass Test Series

Exam Paper Generator

Online Exam Module