Calculating Separation between Nucleus Fragments: Nuclear Physics Problem"

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SUMMARY

The discussion focuses on calculating the separation between nucleus fragments during a nuclear fission event. The key equation presented is the conservation of rest energy, expressed as the rest energy of the original nucleus equaling the sum of the rest energies of the fragments plus a Coulomb repulsion term. The formula R=1.2A^(1/3) is suggested for determining the radius of the fragments, which is essential for calculating the Coulomb repulsion and, consequently, the separation distance at the moment of splitting.

PREREQUISITES
  • Understanding of nuclear physics concepts, specifically nuclear fission.
  • Familiarity with the conservation of energy principle in nuclear reactions.
  • Knowledge of Coulomb's law and its application in nuclear interactions.
  • Ability to apply mathematical formulas related to nuclear radii, specifically R=1.2A^(1/3).
NEXT STEPS
  • Study the derivation of the rest energy equation in nuclear physics.
  • Explore the implications of Coulomb repulsion in nuclear fission processes.
  • Learn about the significance of nuclear radius calculations in fission dynamics.
  • Investigate advanced topics in nuclear physics, such as potential energy surfaces in fission.
USEFUL FOR

Students of nuclear physics, educators teaching nuclear reactions, and researchers focused on nuclear fission dynamics will benefit from this discussion.

neelakash
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Homework Statement



A nucleus[atomic no Z, mass no. A] splits into two fragments(z1,A1) and (Z2,A2).Find the separation between them at the time of splitting.

Homework Equations


The Attempt at a Solution



I am giving the way I would approach.Please check and confirm:

rest energy of (Z,A)=rest energy of (Z1,A1)+rest energy of (Z2,A2)+Coulomb repulsion term

The Coulomb repulsion term includes the required separation.

Please check if I am correct.
 
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But you need to know the separation to find the Coulomb repulsion.
Use the formula for R=1.2A^(1/3) to find each radius.
 
is that really necessary?we are interested about the central distance...
 

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