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Figure 42-16 gives the activities of three radioactive samples versus time. Rank the samples according to their (a) half-life and (b) disintegration constant, greatest first.
(Hint: For (a), use a straightedge on the graph.)
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Rate of decay R=λN
Where, λ is the disintegration constant
λ=ln 2T12
Where, T12 is the half life of the radioactive sample.
So,
R=(ln 2T12)N
Explanation:
Rate of decay is proportional to disintegration constant and rate of decay is inversely proportional to half life of radioactive sample.
Rate of decay is in the order of A>B>C
So, (a) according to their half-life ranking of the samples C>B>A
(b) according to their disintegration constant ranking of the samples A>B>C
(a) according to their half-life ranking of the samples
C>B>A (b) according to their disintegration constant ranking of the samples A>B>C
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