Object A's entropy increases quite a bit when we give it a certain tiny amount of energy, whereas object B's entropy increases by a much smaller amount with the same gift. Which has the higher temperature?
A) Object $A$
B) Object $B$
C) One cannot say without more information.

Question

Quizplus · Accepted Answer

The relationship between entropy ($S$) and temperature ($T$) for a given amount of energy ($\Delta Q$) is given by the formula $\Delta S = \frac{\Delta Q}{T}$. If object A's entropy increases significantly with a small amount of energy, it implies that its temperature is lower compared to object B, which shows a smaller increase in entropy for the same amount of energy. This is because the increase in entropy is inversely proportional to the temperature.

Object A's Entropy Increases Quite a Bit When We Give AAA

Object A's Entropy Increases Quite a Bit When We Give $A$