: You cannot predict when a single nucleus will decay, but you can predict the behavior of a large sample.
A common method for finding half-life is using a decay curve (activity vs. time). : Locate the starting point ( N0cap N sub 0 ) on the vertical axis (y-axis). Calculate Half-Value : Divide the initial activity by 2 (
) of a radioactive isotope is the time required for half of the unstable nuclei in a sample to undergo radioactive decay. : Half-Life-Alyx-TRNT.rar
T1/2=ln(2)λ≈0.693λcap T sub 1 / 2 end-sub equals the fraction with numerator l n 2 and denominator lambda end-fraction is approximately equal to the fraction with numerator 0.693 and denominator lambda end-fraction For general calculations of the remaining mass ( Ntcap N sub t ) after a certain time (
: The distance from zero to that point on the time axis is one half-life. Examples of Isotopes : You cannot predict when a single nucleus
: Activity is measured in Becquerels (Bq) , representing one decay per second. The Mathematical Formula The relationship between the decay constant ( ) and the half-life is defined by the following equation:
National 5 Physics | Radiation | Half-life | WORKED EXAMPLES : Locate the starting point ( N0cap N
: Draw a horizontal line from this half-value to the curve, then a vertical line down to the time axis (x-axis).
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