5. Some cyclotrons used to produce radionuclides in nuclear
medicine for cancer treatment are
adjusted to accelerate deuterons. One example uses a dee radius of
0.5 m with an oscillator
frequency of 11 MHz. (a) What magnetic field is required? (b) What
is the final energy of the
deuterons? (c) Assuming an acceleration potential between the dees
of 100 kV, estimate the
path length traveled by a deuteron during the acceleration
process.
At times one would like to use the cyclotron to instead accelerate
protons to produce other
radionuclides such a technetium-99m. (d) What energy protons could
be produced using the
same oscillator frequency as used for deuterons? (e) What magnetic
field would be required? (f)
What energy protons could be produced if the magnetic field was
left at the value used for
deuterons? (g) What oscillator frequency would then be
required?
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