Estimating Half-Life of Alpha Decay: Nucleus ##^{252}_{98}Cf##

AI Thread Summary
The discussion centers on estimating the half-life of the alpha decay product of the nucleus ##^{252}_{98}Cf##, which has a known half-life of 2.6 years. The user successfully calculated the velocity of the alpha particle as ##v_\alpha = 0.058c## but is struggling with estimating the half-life of the daughter nucleus ##^{248}_{96}X##. They considered using the Geiger-Nuttall law but expressed uncertainty about determining the necessary constants. Additionally, there is a debate about the notation for the daughter element, with one participant emphasizing the need to memorize element information for tests. The conversation highlights the challenges of nuclear decay calculations and the importance of understanding related concepts.
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Homework Statement


Nucleus ##^{252}_{98}Cf## alpha decays with half life time ##t_{1/2}=2.6## years.
What is the velocity of the alpha particle after the decay?
Estimate the half life time of the nucleus after the decay.

Homework Equations

The Attempt at a Solution


Ok, no worries about the first part. I think i understand it and I think I got it right. My result is ##v_\alpha =0.058c##.

However, I have got absolutely no idea what to do with the second part, where I am supposed to estimate the half life time of ##^{248}_{96}X##.

I was thinking about Geiger-Nutall law, but I think this wouldn't be OK, even if I could somehow determine the constants in the equation. Any ideas on how to start here?
 
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I don't know why you are writing the daughter element as ##^{248}_{96}X ##. Can't you find a periodic table and look up element 96?
 
SteamKing said:
I don't know why you are writing the daughter element as ##^{248}_{96}X ##. Can't you find a periodic table and look up element 96?
Because:
- I won't have a periodic table on the test either so I won't be able to look up for element ##96## (or any other that is not already stored in my head).
- It doesn't change anything.
 
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