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Question

- 20 years and 5 years, respectively
- 20 years and 10 years, respectively
- 10 year each
- 5 year each

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Solution

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For sample 1 we can write,

N1=No1e−λ1t

N2=No2e−λ2t

Given that at a particular time t N1=2N2

Also given that

For sample 1,

A1=−dN1dt=No1λ1e−λ1t=5μCi

A2=−dN2dt=No2λ2e−λ2t=10μCi

Solvong above equations we get,

λ1λ2=14

half life1half life2=ln2λ1×λ2ln2=4

TS1=4TS2

⇒TS1=20 years and TS2=5 years is the possible answer.

⇒TS1=20 years and TS2=5 years is the possible answer.

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