Explanation:

India's demographic history is marked by significant events that influenced population growth. One such event is the 'Year of Great Divide', which refers to a specific decade. \nOption A: The decade $\text{1911-21}$ is historically known as the period when India's population recorded a negative growth rate. This was primarily due to severe epidemics, most notably the influenza pandemic of $\text{1918-19}$, coupled with famines and other diseases, which led to a significant increase in mortality. The population actually decreased from approximately $\text{252}$ million in $\text{1911}$ to $\text{251}$ million in $\text{1921}$. Therefore, this option is correct. \nOption B: The decade $\text{1921-31}$ marked the beginning of a steady increase in India's population, with a positive growth rate, as the impact of the epidemics subsided. \nOption C: The decade $\text{1931-41}$ continued to show positive population growth, indicating a period of recovery and sustained increase. \nOption D: The decade $\text{1941-51}$ also experienced positive population growth, despite the partition of India in $\text{1947}$ and its associated demographic shifts. The overall trend remained upward. \nThus, the $\text{1911-21}$ decade stands out as the only period in India's modern demographic history with a negative population growth rate.