Jayaprakash Narayan (1902–1979) is most prominently associated with the
Quit India Movement, also known as the August Movement.
The Quit India Movement was launched by Mahatma Gandhi on 8 August
1942 at the Bombay session of the All-India Congress Committee, demanding an end to British rule in India.
Jayaprakash Narayan was one of its foremost leaders, especially in Bihar: he was arrested on 9 August
1942 and lodged in Hazaribagh Central Jail.
He escaped from Hazaribagh Jail on Diwali night in
1942 and organised the underground movement, forming the
Azad Dasta along with leaders such as Ram Manohar Lohia, and continued the struggle from Nepal.
For this reason he is remembered as a hero of the
1942 Quit India Movement.
The Champaran Movement of
1917 was led by Gandhi in Bihar when Jayaprakash Narayan was still a school student, so it is not the answer.
The Non-Cooperation Movement (
1920–
22) came at a time when he was still a student, and in the Individual Satyagraha (
1940–
41) the leaders specially identified were Vinoba Bhave and Jawaharlal Nehru; Jayaprakash Narayan's defining and best-known role was in the Quit India Movement.
Hence the movement with which Jayaprakash Narayan is related is the
Quit India Movement.