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Nuclei — Physics STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 SciencePhysicsNuclei1 Mark
Question
Samples of two radioactive nuclides $A$ and $B$ are taken. $\lambda A$ and $\lambda B$ are the disintegration constants of $A$ and $B$ respectively. In which of the following cases, the two samples can simultaneously have the same decay rate at any time?
✓

Answer

The two samples of the Two radioactive nuclides $A$ and $B$ can simultaneously have the same decay rate at any time if initial rate of decay of $A$ is twice the initial fate of decay of $B$ and $\lambda_\text{A}>\lambda_\text{B}$.
Also, when initial rate of decay of $B$ is same as rate of decay of $A$ at $t = 2h$ and $\lambda_\text{B}>\lambda_\text{A}$.

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