Energy unit to kelvin, seconds, density, length

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SUMMARY

This discussion focuses on converting energy units from GeV to Kelvin, meters, seconds, and density in kg/m³. The natural units where c, h, and k_B equal 1 are utilized for these conversions. The participant successfully converted 1 GeV to meters using the formula λ = hc/E, yielding a result of 8.05 × 10¹⁴ m. However, they require additional formulas to complete the conversions for Kelvin, seconds, and density.

PREREQUISITES
  • Understanding of natural units in physics (c=h=k_B=1)
  • Familiarity with energy conversion formulas, specifically λ = hc/E
  • Basic knowledge of thermodynamics related to temperature conversion
  • Concept of density in physics, particularly in kg/m³
NEXT STEPS
  • Research the conversion of GeV to Kelvin using the formula T = E/k_B
  • Learn how to convert GeV to seconds through the relationship with frequency
  • Investigate the conversion of GeV⁴ to density (kg/m³) using dimensional analysis
  • Explore additional resources on energy unit conversions in particle physics
USEFUL FOR

Students and professionals in physics, particularly those studying particle physics and energy unit conversions, will benefit from this discussion.

June_cosmo
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Homework Statement


Convert 1 ##Gev## to Kelvin, and convert ##GeV^{-1}## to meters, seconds, and convert ##GeV^4## to density ##(kg/ m^3).##

Homework Equations


natural units ##c=h=k_B=1##

The Attempt at a Solution


I know to convert energy to meters, I can use
##\lambda =hc/E##, I get the result ##GeV^{-1}=8.05*10^{14}m##
But I don't know what other formulas I should use in order to complete the other conversions. Thanks for any hint!
 
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June_cosmo said:

Homework Statement


Convert 1 ##Gev## to Kelvin, and convert ##GeV^{-1}## to meters, seconds, and convert ##GeV^4## to density ##(kg/ m^3).##

Homework Equations


natural units ##c=h=k_B=1##

The Attempt at a Solution


I know to convert energy to meters, I can use
##\lambda =hc/E##, I get the result ##GeV^{-1}=8.05*10^{14}m##
But I don't know what other formulas I should use in order to complete the other conversions. Thanks for any hint!
Wiki's entry on the "electron volt" lists all the conversion factors except for the density.
 

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