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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

`(1 n 2)/(e)`

D

`1- (1 n 2)/(e)`

Text Solution

Verified by Experts

The correct Answer is:
A
P(survival) `= (N(t))/(N_(0)) = (N_(0)e^(-lambda t))/(N_(0)) = e^(-lambda t)`
For `t = (1)/(lambda)`, P(survival) `= (1)/(e)`.
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