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The half life of a radioactive substance...

The half life of a radioactive substance is `T_(0)`. At `t=0`,the number of active nuclei are `N_(0)`. Select the correct alternative.

A

The number of nuclel decayed in time internal `0-t'` is `N_(0)e^(-lambdat)`

B

The number of nuclel decayed in time internal `0-t'` is `N_(0)(1-e^(-lambdat))`

C

The probability that a radioactive nuclel does not decay I inteval `0-t` is `e^(-lambdat)`

D

The probability that a radioactive nuclel does not decay I inteval `1-e^(-lambdat)`

Text Solution

Verified by Experts

The correct Answer is:
B, C
At `t = 0, N_(1) = N_(0)`
At time `t : N_(2) = N_(0)e^(-lambdat)`
Decayed in time `t (N_(1) - N_(2)) = N_(0)(1-e^(-lambdat))`
Porbability that a radioactive nuclei does not decay in `t = 0` to `t : (N)/(N_(0)) = (N_(0)e^(-lambdat))/(N_(0)) = e^(-lambdat)`
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