A cyclotron (figure) designed to accelerate protons has an outer radius of 0.321 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 542 V each time they cross the gap between the dees. The dees are between the poles of an electromagnet where the field is 0.768 T. The black, dashed, curved lines Alternating AV represent the path of the particles. D After being accelerated, the particles exit here. North pole of magnet (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?

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A cyclotron (figure) designed to accelerate protons has an outer radius of 0.321 m. The protons are emitted nearly at rest from a
source at the center and are accelerated through 542 V each time they cross the gap between the dees. The dees are between
the poles of an electromagnet where the field is 0.768 T.
The black, dashed,
curved lines
Alternating AV
represent the path
of the particles.
D
After being
accelerated, the
particles exit here.
North pole of magnet
(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?
Transcribed Image Text:A cyclotron (figure) designed to accelerate protons has an outer radius of 0.321 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 542 V each time they cross the gap between the dees. The dees are between the poles of an electromagnet where the field is 0.768 T. The black, dashed, curved lines Alternating AV represent the path of the particles. D After being accelerated, the particles exit here. North pole of magnet (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?
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