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Radiation overdose. If a person's entire body is exposed to 5.0 $\mathrm{J} / \mathrm{kg}$ of $\mathrm{x}$ rays, death usually follows within a few days. (Consult Table $30.3 . )$ (a) Express this lethal radiation dose in Gy, rad, Sv, and rem. (b) How much total energy does a 70.0 $\mathrm{kg}$person absorb from such a dose? (c) If the 5.0 $\mathrm{J} / \mathrm{kg}$ came from a beam of protons instead of x rays, what would be the answers to parts (a) and (b)?

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a. 5 $\mathrm{Sv}$b. 350 $\mathrm{J}$c. 350 $\mathrm{J}$

Physics 103

Chapter 30

Nuclear and High-Energy Physics

Atomic Physics

Nuclear Physics

Particle Physics

Rutgers, The State University of New Jersey

University of Washington

Simon Fraser University

University of Sheffield

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.

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$\textbf{Radiation Overdos…

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BIO Radiation overdose. If…

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A 70.0 kg person experienc…

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In an industrial accident …

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43.38. In an industrial ac…

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A 70.0-kg person experienc…

04:30

43.68. A $70.0-\mathrm{kg}…

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A $70.0 \mathrm{~kg}$ pers…

05:18

Suppose that a $60-\mathrm…

05:01

Radiation dose A 70 -kg pe…

we're gonna be using table 30.3 for party. It says express the lethal dose rate and G y and radiance and see verts and in ram. So, uh, first, let's do it in, uh um g y So for R b equal the one which means the relative biological effectiveness equal to one. We have one in the first conversion factor. First of all, when G Y is equal to one Jule, her killing ground therefore five Jules per kilogram. Since it's a 1 to 1 ratio, this is just equal to five. So we can box that it is the first part of our solution. And this is part A, by the way. So since one radiant is 10.1 Jules per kilogram, five joules per kilogram divided by 0.1 is equal to 500 radiant. So this is equal to 500 radiance rants. So a Seaver, because it wants it in see vertes is equal to the R V E value, which in this case is equal to one times five g y. So this army V value is equal to one. So this comes out to be five Sieverts and then Ram. This is equal to the R B E value, which again is equal to one times the number of rats which is 500. So this is essentially just the same value represented in different ways. This comes out two equal 500 ren, same value just converted into different units for part B. They asked us to, uh, to find the total energy a 70 killer ground person absorbs from such a dose. So the energy absorbed will call this. He is going to be equal to the mass of the person, which is 70 kilograms multiplied by the dosage rate. While the dosage rate that has units of kilograms in it is the five jewels per kilogram clothe the kilogram units will cancel this Get that gets us two units of energy or the units of jewels. This comes out equal. 350. Jules, Drunken boxing is their solution for part beep. Okay. Part C says now that it wants it, it wants us Thio. Consider one that came from a proton instead of an X ray. What would be the answers to part A and B well, if it came from a proton instead of an X ray. The R V E value is equal to five instead of equal to one. Okay, well, if this is true, then Steve Ertz here then becomes, uh, five, because it's the R V e value. So this time it's gonna be five times five July. This comes out to equal 25 Sieverts. The Wren value is equal to the R B E value with just five clans. The rats, which was 500. This is equal to 2500 rib. We could box set in. And then lastly, we're asked to find the energy. But the energy here is still equal to the mass times the five joules per kilogram. So it comes out to be the exact same. It's still equal to 350 Jules Lincoln box. It is the final part of our solution apart. See

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