1.

The half-lives of radioisotypes P^32 and P^33 are 14 days and 25 days respectively. These radioisotopes are mixed in the ratio of 4:1 of their atoms. It the initial activity of the mixed sample is 3.0 mCi, find the activity of the mixed isotopes after 60 years.

Answer»


SOLUTION :`lambda_1=(1n2)/(T_1)` (T=half-life)
`lambda_2=(1n2)/(T_2)`
`R_(01)+R_0=8mCi` (GIVEN)
`:.` `lambda_1(4N_0)+lambda_2(N_C)=8mCi`
From here we can FIND number after `t=60 yr`
`R=R_1+R_2`
`=(4lambda_1N_0)E^(-lambda_1t)+(lambda_2N_0)e^(-lambda_2t)`


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