Explanation:

- Correct Answer: Option 2 Kalhana

- Kalhana was a 12th-century Kashmiri historian who authored the 'Rajatarangini,' a historical chronicle of early Kashmir.

- The book is considered one of the earliest historical records about the Indian subcontinent, documenting the region's 5th-century to 12th-century history.

- Option 1 Banabhatta

- Banabhatta was a 7th-century Indian scholar and poet who composed 'Harshacharita,' an account of the life of King Harsha.

- He is also known for the prose romance 'Kadambari.'

- Option 3 Kalidasa

- Kalidasa was a classical Sanskrit writer widely regarded as the greatest Indian poet and playwright.

- Some of his famous works include 'Shakuntala,' 'Meghaduta,' and 'Raghuvamsa.'

- Option 4 Somadeva

- Somadeva was a Kashmiri poet who authored the 'Kathasaritsagara,' a famous 11th-century collection of Indian legends, fairy tales, and folklore.

Kalhana’s 'Rajatarangini' is distinct in its attempt to document history methodically, setting it apart from exclusively literary works by other authors mentioned.