Two objects are made of the same material but have different temperatures. Object 1 has a mass m, and object 2 has a mass 2m. If the objects are brought into thermal contact,

(a) Is the temperature change of object 1 greater than, less than, or equal to the temperature change of object 2?

(b) Choose the best explanation from among the following:

I. The larger object gives up more heat, and therefore its temperature change is greatest.

II. The heat given up by one object is taken up by the other object. Since the objects have the same heat capacity, the temperature changes are the same.

III. One object loses heat of magnitude Q, the other gains heat of magnitude Q. With the same magnitude of heat involved, the smaller object has the greater temperature change.