Worksheet: Particle Accelerators and Detectors
In this worksheet, we will practice describing the interactions of particles with high energy accelerators and particle detectors.
The intensity of cosmic ray radiation decreases rapidly with increasing energy, but there are occasionally extremely energetic cosmic rays that create a shower of radiation from all the particles they create by striking a nucleus in the atmosphere. Suppose a cosmic ray particle having an energy of GeV converts its energy into particles with masses averaging .
How many particles are created?
If the particles rain down on an area of 1 square kilometer, how many particles would there be per square meter?
The Tevatron at Fermilab was a particle accelerator that could accelerate protons to speeds where the total energy of a single proton was 2.00 TeV.
What is the Lorentz factor for a proton with this total energy? The rest mass of a proton is .
If a were produced that moved at the same speed as one of these protons, what would be the mean lifetime of the pion as measured in the rest frame of the laboratory? A has a mean lifetime of s in its rest frame.
- A s
- B s
- C s
- D s
- E s
How far would such a pion travel in this time?