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What is the relation between the interaction parameter, ‘b’, and atomic radius, R, for the Compton Effect?

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What is the relation between the interaction parameter, ‘b’, and atomic radius, R, for the Compton Effect?

(a) b > R

(b) b ≈ R

(c) b < R

(d) No relation between b and R

I got this question by my school teacher while I was bunking the class.

This is a very interesting question from X-Rays and Compton Effect in portion X-Rays and Compton Effect of Engineering Physics II

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The correct option is (b) b ≈ R

The best explanation: If b ≈ R, the incident photons are scattered by the electron of the atom and the electron itself gets scattered. This phenomenon is known as the Compton effect.

If b < R, the photon is directly converted into an electron-positron pair, known as pair production.

 If b > R, it means the interaction parameter is greater than the atomic radius. In this case, the electron is ejected by the photon and it is known as the Photoelectric effect.

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