The radioactivity of a given sample of whisky due to tritium T1/2=12.5years was found to be only about 4% of that measured in a recently purchased bottle marked 7 years old. The sample must have been prepared about given log5=0.698
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a
100 years ago
b
420 years ago
c
58 years ago
d
300 years ago
answer is C.
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Detailed Solution
Decay Law, A = Ao 2-tT1/2 ⇒AoA=2tT1/2 Taking log ⇒t ln2T1/2=lnAoA ⇒ln212.5=1tln1004 ⇒t =12.5 × ln25ln2=58 years