What Thickness Makes 0.3 A X-Rays Twice as Intense as 0.5 A X-Rays?

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SUMMARY

The discussion focuses on determining the thickness of a material that allows 0.3 Å X-rays to emerge with twice the intensity of 0.5 Å X-rays. The absorption coefficients are given as Ua = 0.3 1/mm for 0.3 Å X-rays and Ub = 0.72 1/mm for 0.5 Å X-rays. The relevant equation for this calculation is I = Io e^(-Ux), where U represents the absorption coefficient and x is the thickness of the material. By setting up a system of equations based on these coefficients, the thickness can be calculated to achieve the desired intensity ratio.

PREREQUISITES
  • Understanding of X-ray absorption coefficients
  • Familiarity with the exponential decay formula I = Io e^(-Ux)
  • Basic knowledge of intensity ratios in radiation
  • Ability to solve systems of equations
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  • Research the application of the Beer-Lambert Law in X-ray absorption
  • Learn about the physical properties of X-rays at different wavelengths
  • Explore numerical methods for solving systems of equations
  • Investigate the impact of material composition on X-ray absorption
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Physicists, materials scientists, and engineers involved in radiation studies or X-ray applications will benefit from this discussion.

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[SOLVED] Absorption of Photons question

Radiation of equal intensities of 0.3 A X-rays (Ua=0.3 1/mm) and 0.5 A x-rays (Ub=.72 1/mm) are incident on a material. Find the thickness of the material if, in the emerging radiation, the 0.3 A x-rays are twice as intense as the 0.5 A x-rays.

The only equation I have for this is I= Io e^(-Ux)

Thanks for any help on where to start or an equation to use.
 
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just build up a system of equations relating the penetration deept of the radiation in the material and the extiction coefficents for both materials an set one intensity to half the other :)
 
Thanks for the help.
 

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