Respuesta :
Answer:
Explanation:
(a) This problem can be solved by using the formula for Compton effect
[tex]\lambda_{a}-\lambda_{b}=\frac{h}{m_{o}c}(1-cos\phi)[/tex]
where h is the planck constant, Φ is the angle of the scattered photon, m is the mass of the particle (in this case we take an electron) and c is the speed of ligth.
By taking the wavelength of the scattered photon and by replacing we have
[tex]\lambda_{a}=\frac{6.62*10^{-34}m^{2}\frac{kg}{s}}{(9.1*10^{-31}kg)(3*10^{8}\frac{m}{s})}+0.02480*10^{-9}m=2.72*10^{-11}m=0.0272nm[/tex]
(b)
[tex]p=\frac{h}{\lambda_{b}}=\frac{6.62*10^{-34}m^{2}\frac{kg}{s}}{0.0248*10^{-9}m}=2.66*10^{-23}kg\frac{m}{s}[/tex]
(c)
The energy is conserved, hence we have
[tex]E_{i-photon}=E_{k-electron}+E_{s-photon}[/tex]
that is, the sum of the kinetic energy of the scattered electron and the energy of the scattered photon is equal to the energy of the incident photon. By taking Ek we have
[tex]E_{k-e}=E_{i-p}-E_{s-p}=h\frac{c}{\lambda_{b}}-h\frac{c}{\lambda_{a}}\\\\E_{k-e}=(6.62*10^{-34}m^{2}\frac{kg}{s})(3*10^{8}\frac{m}{s})(\frac{1}{0.0248*10^{-9}m}-\frac{1}{0.0272*10^{-9}m})\\\\E_{k-e}=7.06*10^{-16}J=7.06*10^{-16}(6.242*10^{18}eV)=4.4keV[/tex]
(d)
[tex]E_{k-e}=\frac{m_{e}v^{2}}{2}\\\\v=\sqrt{\frac{2E_{k-e}}{m_{e}}}=3.9*10^{7}\frac{m}{s}\\\\p_{e}=m_{e}*v=3.5*10^{-23}kg\frac{m}{s}[/tex]
I hope this is useful for you
regards
The branch of science which deals with matter is called physic.
The question is multiple type question, hence the answer is as follows:-
- The wavelength of the photon is as follows
[tex]I= \frac{6.62*10^{-34}}{9.1*10^{-31}*3*10^8} +0.02480 =2.72 *10^-11[/tex]
- The momentum of the incident photon is as follow:-
P = [tex]\frac{6.36*10^{-34}}{0.0248*10^{-9}} =2.66*10^{-23}[/tex]
- The kinetic energy of the scattered electron:-
[tex]E_{photon} = E_ {proton} - E_{electron[/tex]
after solving the correct answer is 4.4kev
- The momentum is as follows:-
[tex]\frac{mv^2}{2}[/tex] Â , after putting the value the correct answer is [tex]3.5*10^{-23}[/tex]
Hence, these are the correct answer to the question.
For more information, refer to the link:-
https://brainly.com/question/20293447
