AIIMS 2019 Physics Decay Law MCQ Question

Option C is correct because it accurately reflects the calculation of the number of nuclei decayed in one year using the decay constant $\lambda$ and the initial number of nuclei $N$. The equation $-\frac{dN}{dt} = \lambda N$ leads to the expression $-dN = \frac{\ln 2}{T} \times N \times dt$, where $T$ is the half-life. The values substituted yield a decay of approximately $18.2 \times 10^{-7}$, confirming option C as the correct result. Other options are incorrect as they do not align with the calculated decay rate or misinterpret the parameters involved in the decay process.