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What is the probability of a radioactive...

What is the probability of a radioactive nucleus to survive one mean life?

A

`1/e`

B

`1- 1/e`

C

`(ln 2)/(e)`

D

`-(ln2)/(e)`

Text Solution

Verified by Experts

The correct Answer is:
A
Probability of survival for any nucleuis at time t is
`P = (N )/(N _(0)) = (N _(0) e ^(- lamda t))/( N _(0)) = e ^(-lamda t)`
So, in one mean life, required probability is
`e ^(- lamda xx ^((1)/(lamda )))= 1/e ,`
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