Who among the following Mughal Emperors was half Rajput?

Answer: Option B

Among the given options, the Mughal Emperors who were half Rajput were Akbar and Jahangir.

Akbar (Option B) was the son of Humayun (a Mughal emperor) and Hamida Banu Begum (a Persian princess), but his grandmother was a Rajput princess named Bibi Daulat Shad.
Jahangir (Option B) was the son of Akbar and Mariam-uz-Zamani, who was a Rajput princess.

The other options do not include Mughal Emperors who were half Rajput.

Therefore, the correct option is Option B: Akbar Jahan & Jahangir, as both Akbar and Jahangir had Rajput ancestry through their mothers.