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- T=T1+T2
- 1T=1T1+1T2
- T=T1+T2T1T2
- T=T1−T2T1T2

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Solution

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Radioactive decay rate is directly proportional to number of nucleus present at any time

dNdt=−λN....(i)

where λ is a constant related to half life as λ=ln2T12 where T12 is half life time of radioactive decay

The total rate of decay is

λ1=ln2T1

λ2=ln2T2

λeffective=ln2Teffective

substituting in equation (ii)

(ln2T1 +ln2T2)N =ln2TeffectiveN

1T=1T1+1T2

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