Magnetic Effects Of Current Question 294

Question: A charged particle of mass m and charge q describes circular motion of radius r in a uniform magnetic field of strength B. The frequency of revolution is [MP PET 1997; RPET 2001]

Options:

A) $ \frac{Bq}{2\pi m} $

B) $ \frac{Bq}{2\pi rm} $

C) $ \frac{2\pi m}{Bq} $

D) $ \frac{Bm}{2\pi q} $

Show Answer

Answer:

Correct Answer: A

Solution:

Time period is given by $ T=\frac{2\pi m}{qB} $

Þ Frequency $ \nu =\frac{1}{T}=\frac{qB}{2\pi m} $