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Ishy
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Exponential Attenuation and Beta Particle Range (solved)
I am given a beta emitter and its atomic mass, as well as the atomic mass of its daughter, which have a difference of 0.0034 amu. I am to determine the range of the particles in air.
I am given the law of exponential attenuation:
I=I0e^(-ux)
And substituted for mass attenuation coefficient:
I=I0e^(-um*px)
um and p(rho) are readily available, and can be considered given
So I am looking for x, but I do not know I0 (is there some relation between mass or energy and intensity?), and if I'm looking for the range, I assume I to be 0 (if intensity is energy flux x velocity, at the end of the range it must approach 0) which opens up all sorts of nasty when we try to find ln0 (which, essentially approaches infinity).
Homework Statement
I am given a beta emitter and its atomic mass, as well as the atomic mass of its daughter, which have a difference of 0.0034 amu. I am to determine the range of the particles in air.
Homework Equations
I am given the law of exponential attenuation:
I=I0e^(-ux)
And substituted for mass attenuation coefficient:
I=I0e^(-um*px)
um and p(rho) are readily available, and can be considered given
The Attempt at a Solution
So I am looking for x, but I do not know I0 (is there some relation between mass or energy and intensity?), and if I'm looking for the range, I assume I to be 0 (if intensity is energy flux x velocity, at the end of the range it must approach 0) which opens up all sorts of nasty when we try to find ln0 (which, essentially approaches infinity).
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