The correct answer is option 2, 1909. Mahatma Gandhi`s famous work, Hind Swaraj, was written in the year 1909.

Let`s go through the other options to understand why they are incorrect:

Option 1: 1907 - This is not the correct answer. The work Hind Swaraj was written two years later, in 1909.

Option 3: 1914 - This is not the correct answer either. Hind Swaraj was written five years before 1914.

Option 4: 1934 - This option is not the correct answer. The work was written much earlier, in 1909.

Therefore, option 2, 1909, is the correct answer. It is important to note that Hind Swaraj is a significant piece of writing by Mahatma Gandhi as it explores his ideas on swaraj (self-governance) and Satyagraha (non-violent resistance).