Answer:
Conduction.
Step-by-step explanation:
The mode of heat transfer from the Franklin stove to the ceramic cup on top of it is primarily conduction.
Conduction is the transfer of heat through direct contact between two objects with different temperatures. In this case, the ceramic cup is in direct contact with the hot surface of the Franklin stove, and heat is transferred from the stove to the cup through the physical contact of the materials. The heat from the stove is conducted through the materials of the cup, causing it to gradually heat up. While convection and radiation may also play a role in heating the surrounding air and objects in the room, the initial transfer of heat from the stove to the cup occurs through conduction due to the direct contact between them.