Let N and $$\text N_0$$​ be the number of radioactive nuclei in a sample at time t and at time t = 0, respectively. Then the ratio ($$\frac{\text N}{\text N_0}$$​) is equal to __________ where λ is the disintegration constant or decay constant.

Correct option is D

​$$\textbf{Radioactive Decay Formula:} \\N = N_0 e^{-\lambda t} \\\\\text{Where:} \\\bullet\ N_0\ \text{is the initial number of nuclei at } t = 0 \\\bullet\ N\ \text{is the number of nuclei remaining at time } t \\\bullet\ \lambda\ \text{is the decay constant} \\\\\text{Now, rearranging to get the ratio } \frac{N}{N_0}: \\\frac{N}{N_0} = e^{-\lambda t}$$​​