1
An electron having mass m and kinetic energy E enters a uniform magnetic field B perpendicularly, then its frequency will be
- eEqvB
- 2 meB
- eB2 m
- 2meBE
Answer
(3) eB2 m
Solution
The magnetic force provides the centripetal force:
mv2r = evB
= vr = eBm
f = 2 = eB2 m
The frequency does not depend on the speed (or kinetic energy E) of the electron.
Answer: (3)
AIPMT 2001