P114 - Problem set #4

For week of February 7, 2000

 

1: 25-1

2: 25-3

3: Tandem van de Graff accelerators are used to accelerate nuclear particles to high energies. Beams of these particles can be used to study nuclear reactions and nuclear structure. Another use for such beams is the treatment of cancerous tumors. It turns out charged particles lose energy as they interact with matter by ionizing the medium they pass through. One of the more fortunate aspects of this energy loss is that most of the energy is dumped right at the end of the particle's path. If one tunes the energy of a particle beam so that the average range of the particle through the body is just sufficient to reach the tumor, most of the energy is released in the tumor, destroying only the tissue you would like to destroy. Cool, huh?!

A tandem van de Graff accelerator consists of a negative ion source at ground (zero potential), a positively charged high voltage terminal, and an electron stripping foil. A negative ion from the source is accelerated toward the positive high voltage terminal. As the ion passes through the thin stripping foil, all the electrons are removed, leaving only the bare positive nucleus. This nucleus is now accelerated (repelled) by the positive high voltage terminal.

If a He- ion is accelerated from ground through a potential difference of 20 million volts, stripped of all its electrons to form the He++ ion, and then accelerated again from +20 million volts to ground, what is its final kinetic energy?

4: 25-9

5: 25-11

5: 25-17

6: 25-19

7: 25-25

8: 25-29

9: 25-38

10: 25:55