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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An Intiative by Sri Chaitanya

100 years ago

420 years ago

58 years ago

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

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