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PhysicsModern PhysicsRadioactivityEasy2 minPYQ_2009

PhysicsEasysingle choice

If the half lives of a radioactive element for $α$ and $β$ decay are 4 years and 12 years respectively, the ratio of its inital activity and that after 12 years will be

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Solution:

$T = \frac{T _{α} T _{β}}{T _{α} + T _{β}} = \frac{4 \times 12}{4 + 12} = 3 n = \frac{t}{T} = \frac{12}{3} = 4 \frac{N}{N _{0}} = (\frac{1}{2})^{n} = (\frac{1}{2})^{4} = \frac{1}{16} = 6.25%$

Stream:AIIMSSubject:PhysicsTopic:Modern PhysicsSubtopic:Radioactivity

⏱ 2mℹ️ Source: PYQ_2009

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