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Two radioactive materials X1 and X2 have...

Two radioactive materials `X_1` and `X_2` have decay constants `10 lamda` and `lamda` respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of `X_1` to that of `X_2` will be `1//e` after a time.

A

`1/(10 lambda)`

B

`1/(11lambda)`

C

`1/(9lambda)`

D

`11/(10 lambda)`

Text Solution

Verified by Experts

The correct Answer is:
C
`(N_(A))/(N_(B)) = (N_(0)e^(-10lambdat))/(N_(0)e^(-lambdat)) =1/e`
`rArr e^(-9lambdat) =e^(-1) rArr 9 lambda t = 1 rArr t = 1/(9lambda)` .
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