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.

The half-lives of radioisotypes `P^32` and `P^33` are 14 days and 25 d

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» Correct Answer - B::C `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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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.

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