What is the Kinetic Energy of Alpha Particles Scattered by an Aluminum Plate?

In summary, the problem involves sending a beam of alpha particles with unknown kinetic energy onto a 50μm thick aluminium plate. The cross section of the beam is 2cm2 and the density is 1013 / scm2. By sensing 105 scattered particles between 40° and 41°, we can determine the kinetic energy of the particles. The Coulomb interaction and density of aluminium are taken into account. The equations used are σdif = (z12*z22) / 16Tα2 * 1/ sin4(ϑ/2), dΩ= 2πsinϑdϑ, σR=∫σdif dϑ, and ndσr = 105
  • #1
jinn
2
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Homework Statement


Onto an Aluminium 50μm thick plate, we send a beam of alpha particles with unknown kinetic energy. the cross section of the beam is 2cm2, density 1013 / scm2 . Whats the kinetic energy of the particles if every second we sense 105 scattered particles between the angles 40° and 41°? Take into count only the Coulumb interaction and the density of Aluminium is 1850 kg/m3

Homework Equations

The Attempt at a Solution

 
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  • #2
You have to show your attempt first! :)
 
  • #3
first of all my understanding of scattering is shamefully low so please keep in mind...

σdif. = (z12*z22) / 16Tα2 * 1/ sin4(ϑ/2)
dΩ= 2πsinϑdϑ
σR=∫σdif dϑ σdif = dσ/dΩ and the integral borders are 40° and 41°

now those 105 = ndσr ? where d is the thickness and n = densiti times NA/M

?
 

What are alpha particles?

Alpha particles are positively charged particles that contain two protons and two neutrons. They are typically emitted from the nuclei of unstable atoms during radioactive decay.

How are alpha particles scattered?

Alpha particles can be scattered by interacting with other particles, such as electrons or nuclei, through electromagnetic forces.

Why is the scattering of alpha particles important?

The scattering of alpha particles can provide valuable information about the structure and composition of materials, as well as the behavior of particles at a microscopic level. This can have applications in fields such as nuclear physics, materials science, and medical imaging.

What factors affect the scattering of alpha particles?

The energy and angle of the incident alpha particles, as well as the target material and its atomic structure, can all influence the scattering of alpha particles.

How is the scattering of alpha particles studied?

Scientists use various techniques, such as Rutherford scattering and alpha particle spectroscopy, to study the scattering of alpha particles. These techniques involve measuring the energy and position of the scattered particles to gather information about the target material.

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