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Tritium (.(1)^(3)H) is a radioactive iso...

Tritium `(._(1)^(3)H)` is a radioactive isotope of hydrogen. It has a half life of about 12 years. It is produced in the upper atmosphere and is brought to the earth by rain. This mechanism replensihes the Tritium in water on the Earth. Estimicate the ageof a bottle of wine whose `._(1)^(3)H` radiation is about `((1)/(5))^(th)` of that of a new bottle. `["log"_(10)2=0.303]`.

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The correct Answer is:
27.6yr
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The ._1^3H isotope of hydrogen, which is called tritium (because it contains three nucleons), has a half-life of 12.33 yr.It can be used to measure the age of objects up to about 100 yr. It is produced in the upper atmosphere by cosmic rays and brought to Earth by rain. As an application , determine approximately the age of a bottle of wine whose ._1^3H radiation is about 1/10 that present in new wine .

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A radioactive substance has a half-life of 64.8 h. A sample containing this isotope has an initial activity (t=0) of 40muCi . Calculate the number of nuclei that decay in the time interval between t_1=10.0h and t_2=12.0h .

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