You have landed a great summer job in the medical school assisting in a research group investigating short lived radioactive isotopes which might be useful in fighting cancer. Your group is working on a way of transporting alpha particles (Helium nuclei) from where they are made to another room where they will collide with other material to form the isotopes. Since the radioactive isotopes are not expected to live very long it is important to know precisely how much time it will take to transport the alpha particles. Your job is to design that part of the transport system which will deflect the beam of alpha particles (m = 6.64 x 10^-27 kg q = 3.2 x 10 ^-19C) through an angle of 90 degrees by using a magnetic field. The beam will be traveling horizontally in an evacuated tube. At the place the tube s to make a 90 degree turn you decide to put a dipole magnet which provides a uniform vertical magnetic field of 0.030 T. Your design has a tube of the appropriate shape between the poles of the magnet. Before you submit your design for consideration you must m=determine how long the alpha particles will spend in the uniform magnetic field in order to make the turn.