Compton Shift and energy of scattered x-rays

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Homework Help Overview

The discussion revolves around the Compton shift of X-rays and the calculation of the energy of scattered X-rays based on their wavelength. Participants are exploring the relationship between wavelength and energy in the context of photon interactions.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the equations relevant to calculating the energy of scattered X-rays, including the relationship between wavelength and energy. There are questions about the correct application of formulas and the handling of wavelength shifts.

Discussion Status

The discussion is active, with participants providing guidance on the equations to use and clarifying the relationship between wavelength and energy. There is a focus on ensuring the correct interpretation of the Compton shift and its implications for the calculations.

Contextual Notes

Some participants note potential issues with the notation of exponents and the need for clarity regarding the initial and final wavelengths of the X-rays. There is an emphasis on understanding the implications of the given data and the formulas involved.

Gurj
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X-rays with a wavelength of 0.2x10^-9 m collide with a target.
The scattered X-rays experience a Compton shift of 0.0007x10^-9 m.
What is the energy of the scattered X-rays?Just wondering what equations I would use here etc?

Any help would be much appreciated, thanks.
 
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Can you determine the wavelength of the scattered X-rays?
Do you know how wavelength and energy of a photon are related?

I think there is a minus sign missing in your exponents.
 
Yeah sorry there was meant to be minus signs in there,
E=hc/lambda is the relationship between the energy and wavelength i think.
I know of this formula: λo=λ' - (h/Mo*c)*(1-cosθ) but then i don't know what exactly to do with it
 
You don't need that second formula, as the wavelength shift is given.

If the initial wavelength of 0.2 * 10^(-9) m increases by 0.0007 * 10^(-9) m, what is the new wavelength?

Your formula for the energy is right.
 
So I just add the wavelengths and plug that into the energy formula with the other two constants?
 
That will give you the correct answer, right.
 

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