Nuclear Physics and RadioactivityHard

Question

The half life of a radioactive substance is T0. At t = 0, the number of active nuclei are N0. Select the correct alternative.

Options

A.The number of nuclei decayed in time internal 0-t is N0e-λt
B.The number of nuclei decayed in time internal 0-t is N0 (1 - e-λt)
C.The probability that a radioactive nuecli does not decay in internal 0 - t is e-λt
D.The probability that a radioactive nuclei does not decay in interval 1 -  e-λt

Solution

 At t = 0 : N1 = N0
At time  t : N2 = N0e-λt
Decayed in time (N1 - N2) = N0 (1 - e-λt)
Probability that a radioactive nuclei does not decay
in t = 0 to t : = e-λt

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