Explanation:

- Option 1: Bipin Chandra Pal

- An Indian nationalist, speaker, and writer.

- Part of the Lal Bal Pal trio but did not author this book.

- Option 2: Max Muller

- A German philologist and Orientalist.

- Known for his work on the Rigveda and translations of Sanskrit texts but did not write this book.

- Option 3: Bal Gangadhar Tilak

- An Indian nationalist leader, teacher, and independence activist.

- Correct Answer: He authored 'The Arctic Home in the Vedas,' proposing a theory about the original home of Aryans.

- Option 4: Aurobindo Ghosh

- An Indian philosopher, yogi, and nationalist.

- Renowned for his spiritual and philosophical writings, not for this book.