The frequency of circular motion for a charged particle moving around in the presence of a uniform magnetic field does not depend on ...
a)The radius of the circle
b)The mass of the particle
c)The charge of the particle
d)The magnitude of the magnetic field
e)Actually, it depends on all of the above quantities
The Attempt at a Solution
I believe the answer is d because the magnetic field alone cannot alter the KE of a particle because it is perpendicular to the particle velocity
V = mv^2/R ----> QBr/m = 2piR/T (B is the magnitude of the magnetic field)
Where you solve for the period, cancel out the radius on both sides of the equation and take the inverse. Therefore the answer does not depend on the radius.
Which is correct?
Thanks in advance