When a spoon is dipped into cup of hot tea the heat from eventually felt in handle what method energy transmission responsible for this transfer?

Conduction is the method of energy transmission responsible for the transfer of heat from the hot tea to the handle of the spoon.

Conduction is the transfer of thermal energy between two objects in contact with each other. In this case, the spoon is in contact with the hot tea, and the heat from the tea is transferred to the spoon through conduction. The heat then travels through the spoon to the handle, which is why you eventually feel the heat in the handle.

Conduction is one of the three main methods of heat transfer, along with convection and radiation. Convection is the transfer of heat through the movement of a fluid, while radiation is the transfer of heat through electromagnetic waves. In this case, conduction is the most important method of heat transfer, as it is the only way that heat can be transferred from the tea to the spoon.