Question

An x-ray photon with an initial wavelength  strikes an electron that is initially at rest.  What is the wavelength of ...


  1. An x-ray photon with an initial wavelength  strikes an electron that is initially at rest.  What is the wavelength of the photon after the collision (shorter, longer, the same) 
  2. How does the interference of water waves differ from the interference of electrons? How are they analogous?

Answer

Note: As per our guideline, I will solve the first question, Please post other questions separately.

 Solution: Step1 - Here we will understand the concept that will be used to solve the question.

Compton effect - Whenever a photon of energy(E) undergoes an elastic collision with an electron at rest, after the collision the photon gets scattered with energy less than it has before the collision, and the rest of the energy goes as the kinetic energy of the electron.

So, the energy of the photon after the collision is less than the energy of the photon before the collision.

We know that the energy is inversely proportional to the wavelength. So, the wavelength after the collision will be longer than the wavelength before the collision.

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