Option 2 (IV, I, III, II) is the correct answer as it correctly arranges the events chronologically.

IV: The Partition of Bengal, which happened in 1905, was an event that sparked major protests and contributed to the need for Indian nationalism.

I: The Lucknow Pact was next. It was an agreement between the Indian National Congress and the Muslim League in 1916 agreeing to work together for Indian independence.

III: After that, The Rowlatt Act was passed in 1919. It was a controversial act that allowed certain political cases to be tried without juries and permitted internment of suspects without trial.

II: Lastly, The Introduction of Dyarchy was a constitutional reform in British India that introduced the system of dyarchy to govern the provinces. This happened in 1921, as part of the Montagu-Chelmsford Reforms.

So, the correct sequence of events is: Partition of Bengal, The Lucknow Pact, The Rowlatt Act, and The Introduction of Dyarchy.