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Physics - Modern Physics Question with Solution | TestHub

PhysicsModern PhysicsRadioactivityEasy2 minPYQ_2020

PhysicsEasysingle choice

The number of nuclei of two radioactive substances is the same and their half-lives are $1$ year and $2$ years respectively. The ratio of their activities after $6$ years will be

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Answer:

Solution:

$N_{1} = N_{0} {(\frac{1}{2})}^{\frac{6}{1}} = \frac{N_{0}}{64}$

$N_{2} = N_{0} {(\frac{1}{2})}^{\frac{6}{2}} = \frac{N_{0}}{8}$

$\frac{A_{1}}{A_{2}} = \frac{λ_{1} N_{1}}{λ_{2} N_{2}} = \frac{T_{2}}{T_{1}} . \frac{N_{1}}{N_{2}}$

$\frac{A_{1}}{A_{2}} = \frac{2}{1} \times \frac{\frac{N_{0}}{64}}{\frac{N_{0}}{8}}$

$\frac{A_{1}}{A_{2}} = \frac{1}{4}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:Modern PhysicsSubtopic:Radioactivity

⏱ 2mℹ️ Source: PYQ_2020

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