The correct answer is option 2, the Government of India Act, 1919.

The Government of India Act, 1919 was an important legislation that introduced the concept of dyarchy in India. Dyarchy refers to the division of powers and responsibilities between the central government and the provincial governments. Under the dyarchy system, certain areas of governance such as education, health, and agriculture were transferred to the provincial governments, while other areas like defense and foreign affairs remained under the control of the central government in India.

Option 1, the Government of India Act, 1909, is not the correct answer. This act was also significant in Indian history, but it did not introduce dyarchy.

Option 3, the Government of India Act, 1935, is also a significant legislation in Indian history, but it did not introduce dyarchy either. However, it did greatly expand the powers of the provinces and laid the groundwork for the eventual formation of independent India.

Option 4, the Government of India Act, 1947, is not the correct answer. This act was passed to grant independence to India and partition it into India and Pakistan. It did not introduce dyarchy.

Therefore, the correct answer is option 2, the Government of