Question:

i.

A cyclotron (see figure below) designed to accelerate protons has an outer radius of 0.345 m. The protons are emitted nearly at rest from a source at the centre and are accelerated through 638 V each time they cross the gap between the dees. The dees are between the poles of an electromagnet where the eld is 0.848 T. The black, dashed, curved lines 3 represent the path of the particles. Alternating AV After being accelerated, the particle: exit here. North pole of magnet Lawrence Berkeley Nalinnd la (a) Find the cyclotron frequency for the protons in this cyclotron. rad/s (b) Find the speed at which protons exit the cyclotron. m/s (c) Find their maximum kinetic energy. :ev (d) How many revolutions does a proton make in the cyclotron? revolutions (e) For what time interval does the proton accelerate? :5 A velocity selector consists of electric and magnetic fields described by the expressions E = Ek and B = Bj, with B = 21.0 mT. Find the value of E such that a 760 eV electron moving in the negative x rection is undeflected.An electron is accelerated through 2.90 x 103 V from rest and then enters a uniform 1.40-T magnetic field. (a) What is the maximum magnitude of the magnetic force this particle can experience? :lN (b) What is the minimum magnitude of the magnetic force this particle can experience? :1\" A cosmicray proton in interstellar space has an energy of 21.5 MeV and executes a circular orbit having a radius equal to that of Venus' orbit around the Sun (1.08 x 1011 m). What is the magnetic field in that region of space