Percentage transmittance gamma ray through lead

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SUMMARY

The discussion centers on calculating the percentage transmittance of gamma rays through lead using the equation I = Io e^-ux. The user initially calculated u as 2.117 but misapplied logarithmic rules, leading to an incorrect value for I. After recalculating, the correct transmittance was confirmed to be 42.2%. This highlights the importance of accurate logarithmic manipulation in exponential decay calculations.

PREREQUISITES
  • Understanding of exponential decay equations
  • Familiarity with logarithmic functions and their properties
  • Basic knowledge of gamma ray interactions with matter
  • Proficiency in using scientific calculators for exponential calculations
NEXT STEPS
  • Review the derivation and application of the exponential decay formula I = Io e^-ux
  • Study logarithmic identities and their applications in solving equations
  • Explore gamma ray attenuation coefficients for various materials
  • Learn about the practical applications of gamma ray transmittance in radiation safety
USEFUL FOR

Students in physics or engineering, professionals in radiation safety, and anyone involved in nuclear science or medical imaging who requires a solid understanding of gamma ray interactions with materials.

Adam Rabe
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Homework Statement


I = Io e-ux.PNG


Homework Equations


I = Io e^-ux

The Attempt at a Solution


0.75 = 1 * e^-u1
using algebra... u =2.117

I = 1 * e^-2.117*3
I = 0.00175

Answer is apparently 42.2. Can someone tell me where i went wrong? Thanks for any help as always
 
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Adam Rabe said:
0.75 = 1 * e^-u1
using algebra... u =2.117
Check your math. When I put ##e^{-2.117}## into my calculator, I don't get 0.75.
 
Drakkith said:
Check your math. When I put ##e^{-2.117}## into my calculator, I don't get 0.75.
omfg i got it. thanks a lot i derped out with the log rules.
 

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