Option 1: Lord Mayo

Lord Mayo was the Viceroy of India from 1869 to 1872. Although he made significant contributions to the development of India, he is not credited with the introduction of local self-government.

Option 2: Lord Ripon

Lord Ripon, also known as the Marquess of Ripon, served as the Viceroy of India from 1880 to 1884. He is often credited with the introduction of local self-government in India. Under his administration, the Local Self-Government Act was passed in 1882, also known as the Ripon Act. This act aimed to provide better administration and governance at the local level by establishing local municipal bodies.

Option 3: Lord Lytton

Lord Lytton served as the Viceroy of India from 1876 to 1880. While he initiated various administrative reforms during his tenure, the introduction of local self-government was not attributed to him.

Option 4: Lord Curzon

Lord Curzon was the Viceroy of India from 1899 to 1905. He is known for his administrative reforms, but the introduction of local self-government was not part of his initiatives.

Therefore, the correct answer is option 2