10) Please answer all parts fully and completely. Use units on all numbers and explain your answer.
10] (9 pts.) Proton Racetrack.
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Above, how fast are the ions moving when they reach the outer edge of the cyclotron (at a distance R from the center)?
(c) Suppose that the cyclotron parameters are adjusted to produce protons with kinetic energies of 0.6 MeV. If the same cyclotron (potentially operated at a different frequency) is then used to accelerate He++ ions, what will the Helium ion kinetic energies be? The Helium ion kinetic energies will be (circle one):
a) Approximately four times the proton kinetic energies.
b) Approximately three times the proton kinetic energies.
c) Approximately twice the proton kinetic energies.
d) Approximately 3/2 the proton kinetic energies.
e) Approximately 4/3 the proton kinetic energies.
f) About the same as the proton kinetic energies.
g) Approximately 3/4 the proton kinetic energies.
h) Approximately 2/3 the proton kinetic energies.
i) Approximately 1/2 the proton kinetic energies.
j) Approximately 1/3 the proton kinetic energies.
Be sure to explain how you arrived at your answer.