Relativistic Energy: Calculate Decay Product Kinetic Energy

AI Thread Summary
The discussion revolves around calculating the total kinetic energy of decay products from the radioactive decay of a radium isotope to a radon isotope and an alpha particle. The relevant equations include E=mc² and K=γmc²-mc², with the mass values provided for each particle involved in the decay. A participant expresses confusion about the calculations and the concept, indicating that understanding this problem is crucial for solving similar future problems. Another participant advises patience before seeking further help. The thread highlights the importance of grasping relativistic energy concepts in nuclear decay scenarios.
Aeighme
Messages
25
Reaction score
0

Homework Statement


A radium isotope decays to a radon isotope by emitting an α particle (a helium nucleus) according to the decay scheme 226Ra --> 222Rn + 4He. The masses of the atoms are 226.0254 u (226Ra), 222.0176 u (222Rn), and 4.0026 u (4He). What is the total kinetic energy of the decay products (in MeV)?

Homework Equations


E0=mc2
E=gamma*mc2
K=gamma*mc2-mc2
E=K+E0
1u=931.494 (MeV)/c2

The Attempt at a Solution


I really don't know what to do for this...
 
Physics news on Phys.org
Please help!
This concept is confusing for me and once I understand this, it will make the rest of my problems much easier to solve.
 
well...how much more massive is the input (radium), than the output (Radon and a Helium nucleus)...I'm not sure if you are confused by the notation, the 4He should be one helium nucleus with 4 nucleons.

~Lyuokdea
 
Aeighme said:
Please help!
This concept is confusing for me and once I understand this, it will make the rest of my problems much easier to solve.

calm down, wait more than 13minutes before bumping thread :-)
 
<< complete solution deleted by berkeman >>
 
Last edited by a moderator:
Thread 'Help with Time-Independent Perturbation Theory "Good" States Proof'
(Disclaimer: this is not a HW question. I am self-studying, and this felt like the type of question I've seen in this forum. If there is somewhere better for me to share this doubt, please let me know and I'll transfer it right away.) I am currently reviewing Chapter 7 of Introduction to QM by Griffiths. I have been stuck for an hour or so trying to understand the last paragraph of this proof (pls check the attached file). It claims that we can express Ψ_{γ}(0) as a linear combination of...

Similar threads

Back
Top