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A radioactive sample S(1) having an acti...

A radioactive sample `S_(1)` having an activity `5 mu Ci` has twice the number of nuclei as another sample `S_(2)` which has as activity of `10 mu Ci` . 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 years each`

Text Solution

Verified by Experts

The correct Answer is:
a
Acticity of `S_(1)=(1)/(2) ("activity of" S_(2))`
or `(lambda_(1))/(lambda_(2))=(N_(2))/(2 N_(1))`
`(T_(1))/(T_(2))=2(N_(1))/(N_(2))" "(T=half-life =(ln2)/(lambda))`
Given `N_(1)=2N_(2)`
`(T_(1))/(T_(2)) =4`.
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