Which of the following is incorrect in the context of caste system in post independence India?

The state was willing but unable to push through radical reforms which would have undermined the economic basis for caste inequality.

The correct answer is Option 2: The state was willing but unable to push through radical reforms which would have undermined the economic basis for caste inequality.

Option 1: The state was committed to the abolition of caste and explicitly wrote this into the Constitution. Correct. The Constitution reflected the state's commitment to abolishing caste discrimination by incorporating provisions guaranteeing equality, prohibiting discrimination, and abolishing untouchability.

Option 2: The state was willing but unable to push through radical reforms which would have undermined the economic basis for caste inequality. Incorrect. The state was both unable and unwilling to introduce radical reforms that would have weakened the economic basis of caste inequality. 

Option 3: The state assumed that if it operated in a caste-blind manner, this would automatically lead to the undermining of caste based privileges and the eventual abolition of the institution. Correct. One important assumption of the post-Independence state was that treating citizens without considering caste would gradually reduce caste-based privileges and eventually weaken the institution of caste itself.