MadSci Network: Physics |
Hi Isaac, For the first part of your question, I'm going to direct you to another post I made about matter/antimatter annihilation: http:// www.madsci.org/posts/archives/may2000/957365745.Ph.r.html In short, without looking at that page, it's Einsteins famous: E=m*c^2 that lets you calculate how much energy is emitted upon annihilation. An electron/positron annihilation would emit about 2MeV (2 million eV..... 1eV is 1.6 x 10^19 Joules.) The second part of your question I'll answer here. It's not really joules that are harmful to humans. (Though there is some debate about this. For example, if a DNA molecule is destroyed by a photon (energy carrier), how many DNA destructions does it take before forming a cancer is likely? Some say just one would do, others say that the DNA has a sort of repair mechanism that makes it need more than one photon hit.) If you're talking about something on a less sub-cellular level, like burning your hand, then instead of talking about Joules, we should talk about Power density. Power density is the amount of energy (Joules) delivered to a unit area (inch squared) in a unit time (seconds). It also then depends on what energy the Power is at. For example, if you shone a laser, like those in CD players but more powerful, on a piece of glass, you wouldn't see much, because the glass wouldn't absorb much of the energy, it would mostly come out of the other side of the glass. So it would take a LOT of power to melt the glass. However, if you shone the laser on something that absorbed the wavelength (energy) of the photons in the light really well, then you wouldn't need the laser to be as powerful for the material to absorb the same amount of energy. So to answer your question, the amount of Joules varies. I know that I have hurt myself by accidentally putting my finger in the beam of a laser that had power density of around 1000 Watts per square inch at a wavelength of roughly 350nm (3.5eV). But I didn't leave my finger in there for too long, I can tell you. But as I said, it would depend on the energy of the photon, and also the power density. Sorry I couldn't be more help.
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