Q4. Photon scattering. (8 marks) Consider an incident beam of 104, 2.4 MeV photo

Question

Q4. Photon scattering. (8 marks) Consider an incident beam of 104, 2.4 MeV photons on a block of carbon of thickness 3 x 1023 electrons/cm2 (or 5 x 1022 atoms/cm2). A. (2 marks) The primary interaction between the photon beam and the block of carbon is Compton scattering. What is one way you could determine this? State a useful coefficient for this interaction. B. (2 marks) What is the number of Compton interactions? C. (2 marks) How much energy is diverted from the incident beam? D. (2 marks) Calculate the energy transferred to the kinetic energy of charged particles, and the energy that is scattered. (Hint: these quantities should add to equal the total energy diverted from the incident beam.)

Explanation / Answer

a. here it should be considered that incident energy is not totally used utilized fro producing some enrgy out,instead a portion of energy is used for this purpose. if ;  

hn = is energy of incident beam then it can be written as , where h= planks constant and n= incident frequency

hn= U + E , let U= is energy utilized= wich is also treated a workfunction and E = external energy produced which will be hn0, where n0= new frequecy of emitted energy out, whose value can be either greater than n or lessthan n ,based on the nature of incident frequecny and nature of matter on which it is incident

b. number of compton interactions = (incident enrgy - external energy) / no: of photons incident

c. energy diverted from incident = h(n-n0)

d. kinetic energy = (1/2)m x (c/h)2

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