1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Half life of a nuclear decay via simulation

  1. Jul 25, 2011 #1
    I don't know how to solve the questions that my lecturer gave me. I not understand about probability of half life. Can anyone explain to me and help me solve the questions as well? My lecturer ask us to prove the probability as shown in the picture.
     

    Attached Files:

    • 1.jpg
      1.jpg
      File size:
      28.7 KB
      Views:
      99
    • 2.jpg
      2.jpg
      File size:
      27.6 KB
      Views:
      88
    • 3.jpg
      3.jpg
      File size:
      23 KB
      Views:
      88
  2. jcsd
  3. Jul 25, 2011 #2

    rock.freak667

    User Avatar
    Homework Helper

    For the first part, you should know that the activity, dN/dt is directly proportional to the number of atoms N. So you can solve for N there since λ is the constant of proportionality.

    EDIT: For the half-life, this is the time at which the number of atoms present is N0/2.
     
  4. Jul 25, 2011 #3
    How about the probability? The 1/6? And what is the difference between dependent and independent half-life?
     
  5. Jul 25, 2011 #4

    rock.freak667

    User Avatar
    Homework Helper


    Well consider a cube or a die (which has six sides) and you mark one face. Well let's just consider the die, with faces marked as 1,2,3,4,5,6.

    If you throw a die, P(any number) = 1/6 (one number per face in six faces)

    So P(Getting 1) = 1/6. Now consider when we throw two dice.

    1st die: P(Getting 1) = 1/6

    2nd; die: P(Getting 1) = 1/6

    Now they are the same. If the first die gets a '1', it does not affect the second die as it has its own six faces and a '1' on a face. So what does this mean?


    Well half-life is independent, so I don't think there is such thing as dependent half-life.
     
  6. Jul 25, 2011 #5
    Last question,
    For real life application (eg: age of a rock), if the quantity of remaining nuclei, N is very small, will this nuclei still be useful?
     
  7. Jul 25, 2011 #6

    rock.freak667

    User Avatar
    Homework Helper

    Well if it is still decaying and the radiation can be detected, you can probably use some sort of radioactive-carbon dating type technique.
     
  8. Jul 26, 2011 #7
    Carbon Dating is generally used to find ages from ~6000 yrs

    you'll get large error for ages like 600yrs for 15000Yrs
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Half life of a nuclear decay via simulation
Loading...