1. Tardigrade
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  3. Physics
  4. A radioactive material is made at the constant rate of 104 nuclei per second and the material is getting decayed with decay constant 0.0123 month -1. Activity of material after a very long time (if initially there was no radioactive material) is :

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Q. A radioactive material is made at the constant rate of $10^{4}$ nuclei per second and the material is getting decayed with decay constant $0.0123\, month ^{-1}$. Activity of material after a very long time (if initially there was no radioactive material) is :

Nuclei

Solution:

After a very long time at equilibrium
$\frac{d N}{d t}=0$
$\Rightarrow$ Rate of decay =rate of formation $=10^{4}\, dps$