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Teaching Modern Physics - QuarkNet - Fermilab

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Particle Accelerator Problems<br />

1. What is the total energy of a proton whose kinetic energy is 15 GeV? What is its<br />

wavelength?<br />

2. The voltage across the dees of a cyclotron is 50 kV. How many revolutions do protons make<br />

to reach a kinetic energy of 15 MeV?<br />

3. What is the time for one complete revolution for a very high-energy proton (v = c) in the 1km<br />

radius <strong>Fermilab</strong> accelerator?<br />

4. What is the wavelength attainable using 400 GeV protons at <strong>Fermilab</strong>?<br />

5. Protons are injected into the 1-km radius <strong>Fermilab</strong> synchrotron with an energy of 8 GeV. If<br />

they are accelerated by 2.5 q each revolution, how far do they travel and approximately how<br />

long does it take for them to reach 400 GeV?<br />

6. What magnetic field intensity is needed at the 1-km radius <strong>Fermilab</strong> synchrotron for 400<br />

GeV protons? Use the relativistic mass.<br />

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