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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

`(ln 2)/(e )`

Text Solution

Verified by Experts

The correct Answer is:
A
Probability of survival for any nucleus at time `t` is
`P(N)/(N_(0))=(N_(0)r^(-lambdat))/(N_(0))=e^(-lambda t)` M
So, in one mean life, required probabiltiy is
`e^(-lambdax(1)/(lambda))=(1)/(e ),`
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