Option 1: Raja Rammohan Roy - Raja Rammohan Roy is known for his efforts towards social and educational reforms in India. However, there is no historical evidence to suggest that he used the word `Swarajya` or was associated with the idea of self-rule.

Option 2: Bal Gangadhar Tilak - Bal Gangadhar Tilak, also known as Lokmanya Tilak, is attributed with popularizing the word `Swarajya` in the context of Indian independence. Tilak was a prominent freedom fighter and a strong advocate for self-rule. He used the word `Swarajya` in his speeches, writings, and political campaigns, urging the Indian population to strive for self-governance and freedom.

Option 3: Mahatma Gandhi - Although Mahatma Gandhi played a pivotal role in the Indian freedom struggle and popularized the concept of `Swaraj` (self-rule), he did not coin the term `Swarajya`.

Option 4: Swami Vivekananda - Swami Vivekananda was a renowned spiritual leader and philosopher. However, there is no evidence to suggest that he first used the word `Swarajya` in the context of Indian independence.