(a) Calculate the maximum increase in photon wave-length

Chapter 38, Problem 43P

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QUESTION:

Problem 43P

(a) Calculate the maximum increase in photon wave-length that can occur during Compton scattering. (b) What is the energy (in electron volts) of the lowest-energy x-ray photon for which Compton scattering could result in doubling the original wavelength?

Questions & Answers

QUESTION:

Problem 43P

(a) Calculate the maximum increase in photon wave-length that can occur during Compton scattering. (b) What is the energy (in electron volts) of the lowest-energy x-ray photon for which Compton scattering could result in doubling the original wavelength?

ANSWER:

Introduction

First we have to calculate the maximum possible change in the wavelength and then we have to calculate the energy of the lowest energy photon whose wavelength can be doubled.

Step 1

(a) The change in wavelength is given by

Now  will be maximum when  will be maximum. And  will be maximum when  will be minimum. Now the minimum value of  is given by

 for

Hence the   is given by

       

       

       

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