MHT CET · Physics · Nuclear Physics
The variation of decay rate with number of active nuclei is correctly shown in graph

- A D
- B C
- C A
- D B
Answer & Solution
Correct Answer
(C) A
Step-by-step Solution
Detailed explanation
By law of radioactive decay
\(
-\frac{\mathrm{dN}}{\mathrm{dt}} \propto \lambda \mathrm{N}
\)
\(\mathrm{N}\) is the number of radioactive nuclei in the sample
So, \(\frac{\mathrm{dN}}{\mathrm{dt}}\) can be negative
The variation of decay rate with number of active nuclei is shown by the graph
\(
-\frac{\mathrm{dN}}{\mathrm{dt}} \propto \lambda \mathrm{N}
\)
\(\mathrm{N}\) is the number of radioactive nuclei in the sample
So, \(\frac{\mathrm{dN}}{\mathrm{dt}}\) can be negative
The variation of decay rate with number of active nuclei is shown by the graph
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