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JEE Advanced2013PhysicsNuclear PhysicsActual

A freshly prepared sample of a radioisotope of half-life 1386 s has activity 10 ³ disintegrations per second. Given that In 2 = 0.693, the fraction of the initial number of nuclei (expressed in nearest integer percentage) that will decay in the first 80 s after preparation of the sample is

Correct answer

0

Step-by-step solution

f = 1 - e - λ t = 1 - e - λ t ≈ 1 - 1 - λ t = λ t f = 0.04 Hence % decay ≈ 4 %

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