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Compton shift depends ona.angle of recoil of electronb.wavelength of radiationc.angle of scattering of photon

Question

Compton shift depends on

a. angle of recoil of electron
b. wavelength of radiation
c. angle of scattering of photon

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Solution

The Compton shift, also known as the Compton effect, is the change in wavelength (and hence energy) of a photon when it scatters off a particle, typically an electron. The amount of this shift depends on several factors:

a) Angle of recoil of electron: The direction in which the electron recoils after the collision affects the energy of the scattered photon, and hence its wavelength. If the electron recoils in the same direction as the incident photon (i.e., the angle of recoil is 0), the photon loses the least energy and the Compton shift is smallest. If the electron recoils in the opposite direction (i.e., the angle of recoil is 180 degrees), the photon loses the most energy and the Compton shift is largest.

b) Wavelength of radiation: The initial energy of the photon, which is inversely proportional to its wavelength, also affects the Compton shift. The higher the initial energy (and hence the shorter the wavelength), the larger the possible Compton shift.

c) Angle of scattering of photon: This is the angle between the direction of the incident photon and the direction of the scattered photon. If the scattered photon goes off in the same direction as the incident photon (i.e., the angle of scattering is 0), there is no Compton shift. If the scattered photon goes off in a direction opposite to the incident photon (i.e., the angle of scattering is 180 degrees), the Compton shift is largest.

So, in summary, the Compton shift depends on the angle of recoil of the electron, the wavelength of the incident radiation, and the angle of scattering of the photon.

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