Magnetic Effects Of Current Question 151
Question: 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 [IIT-JEE (Screening) 2000]
Options:
A) $ \omega ,\text{and},q $
B) $ \omega q,\text{and},m $
C) $ q\text{and},m $
D) $ \omega ,\text{and},m $
Show Answer
Answer:
Correct Answer: C
Solution:
The effective current $ i=\frac{q\omega }{2\pi } $ and $ A=\pi r^{2} $ . Magnetic moment $ M=iA=\frac{1}{2}q\omega r^{2} $ Angular moment $ L=I\omega =mr^{2}\omega $
Þ $ \frac{M}{L}=\frac{q}{2m} $
BETA
