The Battle of Plassey was fought in the year 1757. This battle was a significant event in the history of India as it paved the way for British rule in the subcontinent. Option 1, 1775 is incorrect as the battle took place much earlier. Option 3, 1761 is also incorrect as it is closer to the correct answer but still not accurate. Option 4, 1576 is far off from the actual year of the battle. Hence, it is important to choose option 2 as the correct answer.