The first Rajput chief to enter into the imperial service of Mughals was:

Raja Bharmal Kachhwaha

The correct answer is Option 1 - Raja Bharmal Kachhwaha

Raja Bharmal Kachhwaha was the first Rajput chief to enter into the imperial service of Mughals.

Two ruling groups of Indian origin entered the imperial service from 1560 onwards: the Rajputs and the Indian Muslims (Shaikhzadas). The first to join was a Rajput chief, Raja Bharmal Kachhwaha of Amber, to whose daughter Akbar got married.