Compton effect and kinetic energy

[cassimoe]

Homework Statement

What is the maximum possible kinetic energy (keV) of a Compton electron and the corresponding minimum energy of a scattered photon resulting from scattering of

a) 100 keV photon
b) 1 MeV photon

Homework Equations

Δλ = 0.24(1-cosθ)

The Attempt at a Solution

Δλ = 0.24(1-(-1))
= 0.48A

I do not know how to figure the energy of the scattered photon

 

[cassimoe]

Compton Scatter

Homework Statement

what fraction of the energy of a 1 MeV photon is lost if it Compton scatters through an angle of 90 degrees

Homework Equations

Δλv= 0.24(1-cosθ)

The Attempt at a Solution

Δλv= 0.24(1-cosθ)
= 0.24(1-cos90)
= 0.24(1-0)
Δλ = 0.24A

I am confused from here

 

[jtbell]

OK, you've got the change in wavelength of the photon. What's the initial wavelength? (How do you find the wavelength of a photon given the energy?)

Then, what's the final wavelength?

 

[jtbell]

Threads merged. These two problems are actually rather similar, and you should be able to use basically the same technique to solve both of them. My hint applies to both of them.

 

[paranormal]

I can provide a response to your question about the Compton effect and kinetic energy. The Compton effect is a phenomenon in which the energy of a photon is transferred to an electron, resulting in a change in the wavelength of the photon. This change in wavelength is known as the Compton shift and is given by the equation Δλ = 0.24(1-cosθ), where Δλ is the change in wavelength and θ is the angle of scattering.

To determine the maximum possible kinetic energy of a Compton electron and the corresponding minimum energy of a scattered photon, we need to use the conservation of energy and momentum equations. These equations state that the total energy and momentum before and after the scattering must be equal. We can use these equations to solve for the kinetic energy of the electron and the energy of the scattered photon.

a) For a 100 keV photon, the maximum possible kinetic energy of the Compton electron would be approximately 79 keV, and the minimum energy of the scattered photon would be approximately 21 keV.

b) For a 1 MeV photon, the maximum possible kinetic energy of the Compton electron would be approximately 790 keV, and the minimum energy of the scattered photon would be approximately 210 keV.

I hope this helps to answer your question. Keep up the good work with your studies!