Home Physics Atomic and Nuclear Physics Nuclear Reaction and Decays A radioactive nucleus can decay by two diffe…
Physics Atomic and Nuclear Physics Nuclear Reaction and Decays MCQ (Single Correct)

A radioactive nucleus can decay by two different processes. The half-life for the first process is and that for the second process is then what will be the effective half-life t of the nucleus is

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The correct answer is:
C

Decay constant for the processes are

The probability that an active nucleus decays by the first process in small time dt is .
Similarly for second decay. The probability that it decays either by first process or second process is .
If effective decay constant is this probability is also equal to

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