The question asks to identify the specific British policy that enabled the annexation of Indian states when their rulers passed away without leaving a natural successor. This policy was a significant tool used by the British East India Company to expand its territorial control over India.
Several policies were implemented by the British during their colonial rule in India, each serving different administrative and strategic purposes. Let's look at the options:
The Doctrine of Lapse was a policy that effectively meant that any Indian princely state under the direct control of the British East India Company, whose ruler died without a natural heir, would be annexed (taken over) by the Company. A 'natural heir' was typically understood as a son adopted with the prior approval of the Company or the British government. If a ruler adopted a son without this approval, or died heirless, the state was claimed by the British.
This policy was instrumental in the annexation of several Indian states, including Satara, Jaipur, Sambalpur, Jhansi, and Nagpur, significantly expanding British territory and influence.
Based on the explanation, the British policy that specifically allowed the annexation of Indian states whose rulers died without a natural heir was the Doctrine of Lapse.