Ratio kinetic energy of alpha particle / kinetic energy of proton

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SUMMARY

The discussion centers on calculating the ratio of kinetic energy between an alpha particle and a proton after both are accelerated through the same potential difference. The relevant equation used is eV = 1/2mv². The conclusion drawn is that the ratio of the kinetic energy of the alpha particle to that of the proton is 2, due to the alpha particle having twice the charge and a mass approximately four times greater than that of a proton. The key factor in this calculation is the relationship between charge, mass, and velocity in the context of kinetic energy.

PREREQUISITES
  • Understanding of kinetic energy equations (e.g., eV = 1/2mv²)
  • Basic knowledge of particle physics, specifically alpha particles and protons
  • Familiarity with the concept of electric potential and its effect on charged particles
  • Knowledge of mass and charge relationships in subatomic particles
NEXT STEPS
  • Study the derivation of kinetic energy formulas for charged particles in electric fields
  • Learn about the properties and behavior of alpha particles in particle physics
  • Explore the concept of potential difference and its impact on particle acceleration
  • Investigate the relationship between charge, mass, and velocity in classical mechanics
USEFUL FOR

Students in physics, particularly those studying particle dynamics, educators teaching concepts of kinetic energy, and anyone interested in the behavior of charged particles in electric fields.

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Homework Statement


A photon and alpha particle are accelerated from rest through the same potential difference.
After acceleration what is the ratio kinetic energy of alpha particle / kinetic energy of proton?


Homework Equations


I guess I have to use eV = 1/2mv^2


The Attempt at a Solution


I don't know what value have to be used in place of e in equation eV = 1/2mv^2
the mass of alpha particle is approximately 4 times of photon and that's all i know
I guessed the answer as 4 but the answer was 2
I think there is something to do with the velocity of alpha particle and photon but I'm stucked can not think of anything..
 
Physics news on Phys.org
An alfa particle has two protons, so that's twice the charge of one proton.
 
Thanks a lot! So i didnt have to know the exact charges but the ratio
 

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