Question

Relation between magnetic moment and angular velocity is

• A. $M\propto \omega$
• B. $M\propto {\omega }^2$
• C. $M\propto \sqrt{\omega }$
• D. None of these

Answer 1

Answer: (A)

Magnetic moment,
$M=IA=I\left(\pi r^2\right)=\frac{q}{T}\times \pi r^2$
$\left(\because q=It\right).$
As $\omega =\frac{2\pi }{T}$
$\therefore M=\frac{q\omega r^2}{2}$
or $M\propto \omega$