How Do You Calculate Wavelength and Recoil Velocity in Nuclear Physics Problems?

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SUMMARY

The discussion focuses on calculating the wavelength of a gamma ray and the recoil velocity of a nucleus during gamma decay. For the first question, the wavelength can be determined using the energy-momentum relationship, where 50% of the gamma ray energy translates into kinetic energy. The second question involves calculating the recoil velocity of a nucleus with a mass of 10^-25 kg that loses 10^-26 g during gamma decay, given a gamma ray wavelength of 10^-14 m. These calculations require an understanding of energy conservation and momentum principles in nuclear physics.

PREREQUISITES
  • Understanding of energy-momentum relationships in nuclear physics
  • Familiarity with gamma ray properties and their interactions
  • Knowledge of mass-energy equivalence (E=mc²)
  • Basic principles of conservation of momentum
NEXT STEPS
  • Study the concept of energy-momentum relationships in particle physics
  • Learn about the properties and calculations involving gamma rays
  • Explore mass-energy equivalence and its applications in nuclear reactions
  • Investigate conservation of momentum in nuclear decay processes
USEFUL FOR

Students in nuclear physics, educators teaching advanced physics concepts, and researchers interested in particle interactions and decay processes.

suspecteg
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Homework Statement


hey, 2 questions thanks:
1.A gamma ray is converted to an electron and a positron. If 50% of the gamma ray energy becomes kinetic energy, what is the wavelength of the gamma ray?

2.A nucleus of a radioactive element (mass 10^-25) loses 10^-26g during gamma decay. if the gamma ray has a wavelength of 10^-14m, what is the recoil velocity of the nucleus?


Homework Equations


no idea, we haven't learned about wavelength at all.. however these two questions were in a big revision booklet so id rather be safe than sorry.


The Attempt at a Solution



thanks.
 
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