K.E. (electron) Δλ/λ hf 1 + (A^/A)" hf cot o = 1 + tan me 2
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Derive the relation for the recoil kinetic energy of the electron and its recoil angle ϕ in Compton scattering. Show that
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- Consider the Compton effect. We direct a beam of 2.21 MeV photons toward some material. Many of the photons collide with electrons in the material, ejecting the electrons from the material. The collisions also cause the photons to be scattered in a variety of directions, each scattered photon having less energy than it had initially. (a) Find the wavelength of the photons in the initial beam. (b). Consider a particular collision where the scattered photon comes out at an angle of 75.1 degrees with respect to its initial direction. Find the wavelength of this scattered photon. (c) Find its energy. (d) Find the kinetic energy of the electron this photon collided with.X-rays with energy E = 340 keV are incident on a target. The x-rays undergo Compton scattering, and the scattered rays are at an angle of ? = 33.0° with respect to the incident rays. Find the Compton shift (in m) at this angle; the energy (in keV) of the scattered x-ray; and the energy (in keV) of the recoiling electron.What is the Compton scattering angle for gamma rays which have awavelength of 10.00 pm after scattering, 9.67 pm before?
- A 0.00220-nm photon scatters from a free electron. For what (photon) scattering angle does the recoiling electron have kinetic energy equal to the energy of the scattered photon?answer in degrees °Calculate the energy of a 511 keV photon after Compton has been scattered at an angle of 90° and another at 180°. The kinetic energy of the Compton electron is given by EC = hν - hν0. Calculate the kinetic energy of the Compton electron in each case.