D. 0.5 g Sample of 201 TI decays to 0.0788 g
in 8 days. What is its half life?
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The half life of the sample of 201Tl is 3 days.
Given that, initial amount = 0.5gm and amount after 8 days is 0.0788gm.
So, N = 0.5gm and N' = 0.0788gm t' = 8 days.
Let half life period be t days.
As, t = (8 * ln 2)/[ln (N/N')]
= (8*0.693)/[ln (0.5/0.0788)]
= 5.544/1.848
= 3 days.
This is the half life.
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