A cyclotron designed to accelerate protons has an outer radius of 0.45 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 700 V each time they cross the gap between the 'dees'. The dees are between the poles of an electromagnet where the field is 0.69 T. a. Find the speed at which protons exit the cyclotron (proton mass = 1.67×10-27). b. Find the cyclotron frequency f for the protons in this cyclotron (Hint: v=r.(2)). c. Calculate the maximum kinetic energy of the proton?

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A cyclotron designed to accelerate protons has
an outer radius of 0.45 m. The protons are
emitted nearly at rest from a source at the center
and are accelerated through 700 V each time
they cross the gap between the 'dees'. The dees
are between the poles of an electromagnet
where the field is 0.69 T.
a. Find the speed at which protons exit the
cyclotron (proton mass = 1.67×10-27).
b. Find the cyclotron frequency f for the
protons in this cyclotron (Hint: v=r.(2Ã)).
c. Calculate the maximum kinetic energy of
the proton?
Transcribed Image Text:A cyclotron designed to accelerate protons has an outer radius of 0.45 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 700 V each time they cross the gap between the 'dees'. The dees are between the poles of an electromagnet where the field is 0.69 T. a. Find the speed at which protons exit the cyclotron (proton mass = 1.67×10-27). b. Find the cyclotron frequency f for the protons in this cyclotron (Hint: v=r.(2Ã)). c. Calculate the maximum kinetic energy of the proton?
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