Which one of the following statements is correct ?

Which one of the following statements is correct ?

Any energy transfer that does not involve temperature difference in some way is not heat
Any energy transfer always requires a temperature difference
On heating the length and volume of the object remain exactly the same
Whenever there is a temperature difference, heat is the only way of energy transfer
This question was previously asked in
UPSC NDA-1 – 2018
This question is about the definition and characteristics of heat and energy transfer in physics. Heat is a specific mode of energy transfer.
Let’s analyze each statement:
A) Any energy transfer that does not involve temperature difference in some way is not heat: This statement is correct. Heat is defined as energy transferred from a hotter object to a colder object due to a temperature difference. Energy can also be transferred as work (e.g., mechanical work), which does not require a temperature difference. Therefore, energy transfer that doesn’t involve a temperature difference is not heat.
B) Any energy transfer always requires a temperature difference: This is incorrect. Energy can be transferred as work (mechanical, electrical, etc.), which does not require a temperature difference.
C) On heating the length and volume of the object remain exactly the same: This is incorrect. When most objects are heated, they undergo thermal expansion, meaning their length, area, and volume increase (though some exceptions exist like water between 0°C and 4°C).
D) Whenever there is a temperature difference, heat is the only way of energy transfer: This is incorrect. While a temperature difference causes heat transfer (conduction, convection, radiation), other forms of energy transfer, such as work done on or by the system, can also occur simultaneously, even if there is a temperature difference.
The First Law of Thermodynamics states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system ($\Delta U = Q – W$). This equation clearly distinguishes between heat (Q) and work (W) as two primary modes of energy transfer. Heat is driven by temperature difference, while work is driven by forces and displacement.