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Physics - Modern Physics Question with Solution | TestHub

PhysicsModern PhysicsRadioactivityEasy2 minPYQ_2020

PhysicsEasysingle choice

The half-life of a radioactive sample is $T$ . If the activities of the sample at a time $t_{1}$ and $t_{2}$ $(t_{1} < t_{2})$ are $R_{1}$ and $R_{2}$ respectively, then the number of atoms disintegrated in time $t_{2} - t_{1}$ is proportional to

Options:

Answer:

Solution:

Activity $R = λ N$

So that

$R_{1} = λ N_{1}$ and $R_{2} = λ N_{2}$

$R_{1} - R_{2} = λ (N_{1} - N_{2}) = \frac{0.6931}{T} (N_{1} - N_{2})$

$N_{1} - N_{2} = \frac{(R_{1} - R_{2}) T}{0.6931}$

$N_{1} - N_{2} \propto (R_{1} - R_{2}) T$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:Modern PhysicsSubtopic:Radioactivity

⏱ 2mℹ️ Source: PYQ_2020

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