An electron of mass m and charge e moves in a circular path in a magnetic field of flux density B. How long does it take to complete one orbit?

A. ^2me/_Bπ
B. ^2B/_meπ
C. ^2πm/_Be
D. ^Be/_2πm

Correct Answer:

Option C = ^2πm/_Be

Explanation

Motion of charged particles in Magnetic field

qvb = ^MV2/_r
where q = e

Introducing Period (T) as time taken to complete one orbit = ^2π/_Mqe