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Radiation therapy with $\pi^{-}$ mesons. Beams of $\pi^{-}$ mesons are used in radiation therapy for certain cancers. The energy comes from the complete decay of the $\pi^{-}$ to stable particles. (a) Write out the complete decay of a $\pi^{-}$ meson to stable particles. What are these particles? (Hint: See the end of Section $30.8 .$ ) (b) How much energy is released from the complete decay of a single $\pi^{-}$ meson to stable particles? (You can ignore the very small masses of the neutrinos.) (c) How many $\pi^{-}$ mesons need to decay to give a dose of 50.0 Gy to 10.0 $\mathrm{g}$ of tissue? (d) What would be the equivalent dose in part (c) in Sv and in rem? Consult Table 30.3 and use the largest appropriate RBE for the particles involved in this decay.

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a. $\pi^{-} \rightarrow \mu^{-}+\overline{v}_{\mu} \rightarrow e^{-}+\overline{v}_{\mu}+v_{\mu}+\overline{v}_{c}$b. 139 $\mathrm{MeV}$c. $2.248 \times 10^{10} \pi^{-}$ mesonsd. 5000 $\mathrm{rem}$

Physics 103

Chapter 30

Nuclear and High-Energy Physics

Atomic Physics

Nuclear Physics

Particle Physics

Cornell University

University of Michigan - Ann Arbor

University of Washington

Hope College

Lectures

02:42

Atomic physics is the field of physics that studies atoms as an isolated system of electrons and an atomic nucleus. It is primarily concerned with the arrangement of electrons around the nucleus and the processes by which these arrangements change. The theory of quantum mechanics, a set of mathematical rules that describe the behaviour of matter and its interactions, provides a good model for the description of atomic structure and properties.

02:26

In physics, nuclear physics is the field of physics that studies the constituents and interactions of atomic nuclei. The most commonly known applications of nuclear physics are nuclear power generation and nuclear weapons technology, but the research has provided application in many fields, including those in nuclear medicine and magnetic resonance imaging, ion implantation in materials engineering, and radiocarbon dating in geology and archaeology.

06:00

Radiation therapy with $\p…

04:46

$\textbf{Radiation Therapy…

09:38

CP BIO Radiation Therapy w…

06:35

43.58. Pion Radiation Ther…

02:22

$\textbf{Pion Radiation Th…

03:09

Pion Radiation Therapy. A …

11:38

Irradiating Ourselves! The…

11:24

Irradiating ourselves! The…

06:20

$\textbf{Irradiating Ourse…

08:56

BIO Irradiating Ourselves!…

03:49

The $\mathrm{D}_{\mathrm{s…

43.57. Irradiating Ourselv…

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