A proton (charge ) with mass is in a circular orbit of radius such that it has an angular momentum given by . The orbiting proton has a magnetic moment parallel to its angular momentum. When the orbiting proton is placed in a uniform magnetic field of strength so that makes an angle of with , the angular momentum precesses around . Find:
a) The magnetic moment of the orbit in terms of ;
b) The angular frequency with which the angular momentum precesses.