Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
A radioactive nucleus is being produced at a constant rate $\alpha$ per second. Its decay constant is $\lambda$. If $N_0$ are the number of nuclei at time $t=0$, then the maximum number of nuclei possible are
PhysicsNuclear PhysicsAIIMSAIIMS 2009
Options:
  • A $N_0+\frac{\alpha}{\lambda}$
  • B $N_0$
  • C $\frac{\lambda}{\alpha}+N_0$
  • D $\frac{\alpha}{\lambda}$
Solution:
1712 Upvotes Verified Answer
The correct answer is: $\frac{\alpha}{\lambda}$
Maximum number of nuclei will be present, when rate of decay = rate of formation
$\lambda . N=\alpha, N=\frac{\alpha}{\lambda}$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.