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Okay, so I have two questions, both pertaining to the Compton Effect.

Evaluate the maximum kinetic energy for a recoiling electron that is struck by a photon with momentum 0.04MeV/c

Maximum Kinetic energy: E[tex]_{k}[/tex] = [tex]\frac{hf}{1 + (mc^{2}/2hf}[/tex]

Compton wavelength of an electron: h/mc = .00243 nm

Compton's equation: [tex]\lambda[/tex]2 - [tex]\lambda[/tex]1 = (h/mc)(1-cos[tex]\theta[/tex])

I tried to rearrange the above maximum kinetic energy and solve for f using the quadratic formula, but then I realized that the mass of the photon was close to zero and got worried because I'd end up dividing by zero.

Also:

The maximum kinetic energy given to the electron in a Compton scattering event plays a role in the measurement of gamma-ray spectra using scintillation detectors. The maximum is referred to as the Compton edge. Suppose the Compton edge in a particular experiment is found to be 520 keV. What were the wavelength and energy of the incident gamma rays?

See above question

Since we know the maximum kinetic energy, I tried to plug that into the above equation, but ran into the same divide-by-zero problem.

Thanks in advance!

**1. Homework Statement**Evaluate the maximum kinetic energy for a recoiling electron that is struck by a photon with momentum 0.04MeV/c

**2. Homework Equations**Maximum Kinetic energy: E[tex]_{k}[/tex] = [tex]\frac{hf}{1 + (mc^{2}/2hf}[/tex]

Compton wavelength of an electron: h/mc = .00243 nm

Compton's equation: [tex]\lambda[/tex]2 - [tex]\lambda[/tex]1 = (h/mc)(1-cos[tex]\theta[/tex])

**3. The Attempt at a Solution**I tried to rearrange the above maximum kinetic energy and solve for f using the quadratic formula, but then I realized that the mass of the photon was close to zero and got worried because I'd end up dividing by zero.

Also:

**1. Homework Statement**The maximum kinetic energy given to the electron in a Compton scattering event plays a role in the measurement of gamma-ray spectra using scintillation detectors. The maximum is referred to as the Compton edge. Suppose the Compton edge in a particular experiment is found to be 520 keV. What were the wavelength and energy of the incident gamma rays?

**2. Homework Equations**See above question

**3. The Attempt at a Solution**Since we know the maximum kinetic energy, I tried to plug that into the above equation, but ran into the same divide-by-zero problem.

Thanks in advance!

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