1.

During the nuclear explosion,one of the products ""^(90)Sr was absorbed in the bones of a newly born baby in place of ca .How much time in years is required to reduce it by 90% if it is not lost metabolically? (t_((1)/(2))=6.93 years)

Answer»

Solution :It TAKES 23.03 YEARS
All nuclear REACTION follow FIRST order reaction and so,
`t_((1)/(2))=(0.693)/(lambda)` [where `lambda`=0.1 (`"year"`^(-1))]
`t=(2.303)/(lambda)` log `((90)/(at))`
`t=(2.303)/(0.1)` log `((90)/(0.190))`
On simplifying above reactionwe get t=23.03 years


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