Calculating Transmission Factor and Intensity Ratio of Co K Radiation Filters

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filters for Co K radiation are usually made of iron oxide power. If a filter contains 5 mg Fe2O3, what is the transmission factor for the Co K(alpa) line? What is the intensity ratio of Co K(alpha) to Co K(beta) in the filtered beam?

agh... i have no idea where to start on that question...
 
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At the K_a energy how much of the intensity will Fe2O3 absorb? And the same for K_b? Can you figure it out from here?
 
@@a you can't figure out the intensity with that limited amount of information, right?
 
You'll need the mass abs. coeffs. for the relevant energies from the x-ray data booklet or from here http://physics.nist.gov/PhysRefData/XrayMassCoef/cover.html. I don't remember if the booklet has those but the site does for sure. If you assume a cross sectional area A for the beam and require the filter to be of the same A you can solve for it's thickness and the use the good ol' Lambert-Beer law to calculate the transmittance.
 
thank you very much! :)
 
can someone show the working out for this. Do we have to draw simultaneous equations ?
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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