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A radioactive sample S1 having an activi...

A radioactive sample `S_1` having an activity of `5muCi` has twice the number of nuclei as another sample `S_2` which has an activity of `10muCi`. The half-lives of `S_1` and `S_2` can be

A

`20` years and `5` years, respectively

B

`20` years and `10` years, respectively

C

`10` years each

D

`5` year each

Text Solution

Verified by Experts

The correct Answer is:
A
Activity `=lambdaN` & `T_(1//2)=(ln2)/lambda`
So `5=(ln2)/T_(1) (2N_(0))` & `10 =(ln2)/T_(2) (N_(0)) implies T_(1)=4T_(2)`
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