Heat Transfer
Unsteady state heat conduction occurs, when

Three dimensional heat flow is concerned
Temperature distribution is dependent on time
Heat flows in one direction only
Temperature distribution is independent of time

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Heat Transfer
Heat transfer by conduction results due to the transfer of free electrons, kinetic energy & vibrational energy from one molecule to another. Conduction heat transfer can not take place

Between two bodies not in physical contact with each other
Both B & C
From one part of a body to the another part of the same body
Between two bodies in physical contact with each other

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