Home Physics Atomic and Nuclear Physics Nucleus, Nuclear Reaction Find the probabtlity that a particular nucle…
Physics Atomic and Nuclear Physics Nucleus, Nuclear Reaction MCQ (Single Correct)

Find the probabtlity that a particular nucleus of will undergo beta decay in any period. The half-life of is 37.2 min

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The correct answer is:
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Sol. Convert the half-life from minutes to seconds:

Calculate the decay constant :

Calculate the probability that a nucleus decays in 1.00 s :

where .

Calculate the exponent:

(using the approximation for small )

Calculate the probability:

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