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Physics - Modern Physics Question with Solution | TestHub

PhysicsModern PhysicsRadioactivityEasy2 minPYQ_2023

PhysicsEasysingle choice

In a radioactive disintegration, the ratio of initial number of atoms to the number of atoms present at time $t = \frac{1}{2 λ}$ is $[λ =$ decay constant $]$

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Solution:

According to radioactive disintegration law, $N = N_{0} e^{- λ t} \frac{N}{N _{0}} = e^{- λ t} \frac{N}{N _{0}} = e^{- λ \times \frac{1}{2 λ}} (∵ t = \frac{1}{2 λ}) \frac{N}{N _{0}} = e^{- \frac{1}{2}} \frac{N _{0}}{N} = e^{\frac{1}{2}} \frac{N _{0}}{N} = e$

Stream:MHT_CETSubject:PhysicsTopic:Modern PhysicsSubtopic:Radioactivity

⏱ 2mℹ️ Source: PYQ_2023

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