The question asks to identify the specific British policy that enabled the annexation of Indian states if their rulers died without a natural heir. This policy was known as the Doctrine of Lapse.
The Doctrine of Lapse was a controversial policy enacted by the British East India Company. Its core principle stated that:
The other options provided represent different British policies, none of which directly match the condition mentioned in the question:
This policy, introduced in 1793, was primarily a land revenue system. It aimed to fix the amount of revenue payable by landowners (zamindars) to the state, thereby establishing a more predictable income for the British administration. It did not concern the succession of rulers or annexation based on heirs.
Introduced earlier by Lord Wellesley, the Subsidiary Alliance system required Indian rulers to accept the stationing of British troops within their territory and pay for their maintenance. In return, the British offered "protection" from external threats. While it compromised the sovereignty of Indian states, it was not directly linked to annexation due to the absence of a natural heir.
This term typically refers to a system of governance where power is divided between two authorities. In the context of British India, it often described the arrangement in Bengal after 1765, where the East India Company controlled revenue collection and military affairs, while the Nawab retained nominal administrative authority. This was a governance structure, not an annexation policy based on succession.
Based on the analysis, the Doctrine of Lapse is the specific British policy that allowed for the annexation of Indian states whose rulers passed away without leaving a natural heir.