2 Cyclotron A proton, a deuteron, and an a-particle are accelerated from rest through a potential difference, AV = 30kV. They enter a region containing a uniform magnetic field of strength B = 0.25 T. The particles move parallel to each other and perpendicular to B. (a) Compute the kinetic energy of each particle. Which is largest? Which is smallest? By what factor? (b) Compute the radius of each particle's cyclotron orbit. (c) Critical Thinking. Is this setup effective for distinguishing all three particles from each other? Explain why or why not. Particle Charge Mass [kg] 1.67 x 10-27 3.34 x 10-27 6.64 x 10-27 +le proton deuteron +le a-particle +2e

University Physics Volume 2
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Chapter11: Magnetic Forces And Fields
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Problem 32P: A particle of charge q and mass m is accelerated from rest through a potential difference V, after...
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2 Cyclotron
A proton, a deuteron, and an a-particle are accelerated from rest through a potential difference, AV = 30kV. They
enter a region containing a uniform magnetic field of strength B = 0.25 T. The particles move parallel to each other and
perpendicular to B.
(a) Compute the kinetic energy of each particle. Which is largest? Which is smallest? By what factor?
(b) Compute the radius of each particle's cyclotron orbit.
(c) Critical Thinking. Is this setup effective for distinguishing all three particles from each other?
Explain why or why not.
Particle
Charge Mass (kg]
1.67 x 10-27
3.34 x 10-27
6.64 x 10-27
+le
proton
deuteron
+le
a-particle +2e
Transcribed Image Text:2 Cyclotron A proton, a deuteron, and an a-particle are accelerated from rest through a potential difference, AV = 30kV. They enter a region containing a uniform magnetic field of strength B = 0.25 T. The particles move parallel to each other and perpendicular to B. (a) Compute the kinetic energy of each particle. Which is largest? Which is smallest? By what factor? (b) Compute the radius of each particle's cyclotron orbit. (c) Critical Thinking. Is this setup effective for distinguishing all three particles from each other? Explain why or why not. Particle Charge Mass (kg] 1.67 x 10-27 3.34 x 10-27 6.64 x 10-27 +le proton deuteron +le a-particle +2e
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