Calculate the following energies: the scattered gamma ray following a Compton interaction of a 140 keV gamma ray in which the scattering angle 0 is 45°.

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Calculate the following energies:
the scattered gamma ray following a Compton interaction of a 140 keV gamma ray in which the
scattering angle 0 is 45°.
Transcribed Image Text:Calculate the following energies: the scattered gamma ray following a Compton interaction of a 140 keV gamma ray in which the scattering angle 0 is 45°.
Expert Solution
Step 1

The incident energy is 

140 keV=140×1000 eV

The energy is 

E=hcλ

where h is the Planck's constant, c is the speed of light and λ is the incident wavelength

The incident wavelength becomes 

λ=hcE

The value of hc is 1240 eV.nm

λ=1240 eV.nm140000 eVλ=0.00886 nmλ=0.00886×10-9 m

In Compton scattering process, the difference of final and incident wavelength is 

λ=λf-λi=hmc1-cosθ  .............................. (1) 

where θ is the scattering angle. 

 

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