Gujarati
13.Nuclei
medium

The radioactivity of a given sample of whisky due to tritium (half life $12.3$ years) was found to be only $3\%$ of that measured in a recently purchased bottle marked $"7$ years old". The sample must have been prepared about

A

$220$ years back

B

$300$ years back

C

$400$ years back

D

$70$ years back

Solution

(d) After one half life period, the activity of Tritium becomes $50\%$.
After $2$ half life period $25\%$
After $3$ half life period $12.5\%$
After $4$ half life period $6.25\%$
After $5$ half life period $3.12\% \approx  3\%$
It is $5 \times 12.5$ years $+ 7$ years i.e. approximately $70$ years only .

Standard 12
Physics

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