Physics
We feel cool when we sit near the fan, this is because

Fan gives cool air.
Fan cools surrounding air.
We feel cool when air touches the body.
Air vapourises the sweat on our body.

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Physics
On a cold day when a room temperature is 15oC, the metallic cap of a pen becomes much colder than its plastic body, though both are at the same temperature of 15oC, because

plastics have a higher thermal conductivity than metals
plastics have a lower density than metals
metals are good conductor of heat
metals have higher thermal capacity than plastics

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