1) The process of transfer of heat from hotter to colder end through the conductor is called conduction. This mode of transfer of heat happens more in solid conductors.
2) Example 1:
It takes some time for the heat to reach the end of the spatula placed in the cooking vessel. The heat from cooking vessel transfers to the end of the spatula gradually. This type of heat transfer is called conduction.
3) Example 2:
The edges of the steel plate with burning coal burn our hand while holding it. Here the heat transfers from the middle of the plate to the edges gradually.
4) Example 3:
If we put a needle by holding it in the candle flame, it causes burn to our hand. It is due to conduction of heat.