Compton Scattering - Find x component of electron momentum

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SUMMARY

The discussion centers on calculating the final momentum of a photon in Compton scattering when the final wavelength is unknown. The initial momentum of the photon is calculated using the formula p = h/λ, yielding a value of 4.98 x 10-23 (units unspecified). Participants emphasize the importance of including correct units in calculations and suggest using the change in wavelength formula, Δλ = (h/mc)(1 - cos(θ)), to derive the final wavelength and subsequently the final momentum of the photon. The conversation highlights the necessity of energy conservation principles in solving such problems.

PREREQUISITES
  • Understanding of Compton scattering principles
  • Familiarity with momentum calculations in physics
  • Knowledge of the Planck constant (h) and its application
  • Ability to manipulate trigonometric functions in physics equations
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  • Learn how to apply the change in wavelength formula in Compton scattering scenarios
  • Study the relationship between momentum and energy conservation in particle physics
  • Explore the implications of unit consistency in scientific calculations
  • Investigate the effects of scattering angles on photon momentum
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JoeyBob
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Homework Statement
See attached
Relevant Equations
p=h/wavelength
So I can find the initial momentum using p=h/wave = 4.98 x 10-23. Now my problem is that I don't know the final momentum of the photon nor electron, I just know the photon is scattered at an angle of 34 degrees.

I know how to solve this problem if I was given the final wavelength of the light, but that's not given.

p initial = cos(34)* mag. of photon momentum + x component of electron momentum

From the above equation all I need is the final magnitude of the momentum of the photon. Since the final wavelength is not given idk how to find this. If the velocity or kinetic energy of the electron was given I could use energy conservation to find the answer, but that's not given either.

I just don't understand how to calculate the final momentum of the photon if no final wavelength is given.
 

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JoeyBob said:
I just don't understand how to calculate the final momentum of the photon if no final wavelength is given.
Have you solved this yet? If not, see the formula you stated in post #7 in your other thread: https://www.physicsforums.com/threads/compton-scattering-determine-momentum.1001734/

Also, you can easily avoid losing marks in exams/assignments by including the correct units with values. For example to state a momentum is '4.98 x 10-23' is incomplete: is that in units of g.cm/s, or lbs.ft/s, or something else?
 
Steve4Physics said:
;
Have you solved this yet? If not, see the formula you stated in post #7 in your other thread: https://www.physicsforums.com/threads/compton-scattering-determine-momentum.1001734/

Also, you can easily avoid losing marks in exams/assignments by including the correct units with values. For example to state a momentum is '4.98 x 10-23' is incomplete: is that in units of g.cm/s, or lbs.ft/s, or something else?

I mean I thought I understood it since I was able to use momentum or energy to solve the problem you cite in that thread. The issue here is I don't have the final wavelength so nothing seems to work.

Units are what I use as a last resort and don't always help. Trying to cancel them out units to give the units of the answer ect.
 
JoeyBob said:
I mean I thought I understood it since I was able to use momentum or energy to solve the problem you cite in that thread. The issue here is I don't have the final wavelength so nothing seems to work.

Units are what I use as a last resort and don't always help. Trying to cancel them out units to give the units of the answer ect.
In post #7 of https://www.physicsforums.com/threads/compton-scattering-determine-momentum.1001734/ you wrote “change in wavelength = (h/mc)(1-cos(angle)”.

You got the brackets wrong, but you can sort this out.

Use your formula to find the change in wavelength. Then add this to the initial wavelength. This gives you the final wavelength.

Units are not ‘a last resort’. It is incorrect to state a value without correct units. Like saying “This piece of string is 15 long”. Also, it creates a very poor impression when someone sees it - and it will cost you marks in examinations. Your decision!

Edit. I don't mean puitting units into equations. I mean including the units when stating single values.
 
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