Wavelength of Incident Photon?

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SUMMARY

The discussion centers on calculating the wavelength of an incident photon during Compton Scattering, given a maximum energy transfer of 50 keV to an electron. The relevant equation used is λ = (h*c)/(E), where h is Planck's constant and c is the speed of light. The user initially misinterpreted the implications of a 180-degree deflection, mistakenly concluding that the wavelengths would remain equal, thus indicating no energy transfer. The correction involved recognizing the negative value of cos(180), which is crucial for accurate calculations.

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  • Understanding of Compton Scattering principles
  • Familiarity with the equation λ = (h*c)/(E)
  • Knowledge of Planck's constant and the speed of light
  • Basic trigonometry, particularly the cosine function
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  • Study the derivation and applications of the Compton wavelength shift formula
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VenomHowell15
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Pretty easy one, I'd imagine. Just want to check it over.

Homework Statement

If the maximum energy transferred to an electron during Compton Scattering is 50keV, what is the wavelength of the incident photon?

Homework Equations



lamba = (h*c)/(E)

(lamba' - lambdao) = (h/mc) (1 - cos (theta))

The Attempt at a Solution



I've figured out that I'm looking at a 0 degree deflection here, with the photon bouncing back at 180 degrees if there is to be a maximum energy transfer. I'm just wondering if I have to simply plug 50 keV into lamba = (h*c)/(E), or is there some factor to take into account? I'm wondering if not all of the photons energy could be transferred to the electron and if there's any kinks involving that.

The thing is, looking at the equations above, if cos is 180, that means lambda' = lambda o... Which doesn't make sense, because that would mean the wavelengths are equal and no energy transfer could possibly have happened, since wavelength is inversely proportional to energy.
 
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VenomHowell15 said:
The thing is, looking at the equations above, if cos is 180, that means lambda' = lambda o
No it doesn't.
 
Hootenanny said:
No it doesn't.

Shoot... I forgot to take into account the sign of cos(180) is a negative... I was getting 0 for (1 - cos(theta))... Stupid simple mistake that I missed until after handing my assignment in.
 

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