Problem $2.(20$ pts$.)$ Dr$.$ B$.$ is conducting an experiment where alpha having a charge of $+2e$ and a mass of $6\mathrm{.}64{10}^{-27}kg,$ are accelerated in a uniform $0\mathrm{.}50$ T magnetic field to a final orbit radius of $0\mathrm{.}50$ m $.$ The field is perpendicular to the velocity of the particles. What is the speed of an alpha particle in the final orbit?