An electron moves in a circular path perpendicular to a constant magnetic field of magnitude $1\mathrm{.}03$ mT$.$ The angular momentum of the electron about the center of the circle is $4\mathrm{.}171025$ kg $$ m$2/$s$.$

$($a$)$ Determine the radius of the circular path of the electron.

Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. cm

$($b$)$ Determine the speed of the electron.

Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m$/$s