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PhysicsModern PhysicsRadioactivityMedium2 minPYQ_2009

PhysicsMediumsingle choice

Two radioactive materials $x_{1}$ and $x_{2}$ have decay constants $10 λ$ and $λ$ respectively. if initially they have the same number of nuclei, then the ratio of the number of nuclei of $x_{1}$ to that of $x_{2}$ will be $1/ e$ after a time

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Solution:

Here, $N_{1} = N_{0} e^{- 10 λ t}$ and $N_{2} = N_{0} e^{- λ t}$ $\Rightarrow \frac{N _{1}}{N _{2}} = \frac{1}{e} = e^{- 1} = e^{(- 10 λ + λ) t} = e^{- 9 λ t} \Rightarrow t = \frac{1}{9 λ}$

Stream:VITEEESubject:PhysicsTopic:Modern PhysicsSubtopic:Radioactivity

⏱ 2mℹ️ Source: PYQ_2009

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