Answer
The rate of cooling of mug 1 is less than that of mug 2.
Work Step by Step
We know that the thermal radiation is directly proportional to the surface area. Mug 2, which is half filled, has a greater surface area and thus its temperature decreases more rapidly as compared to that of mug 1. Thus, the rate of cooling of mug 1 is less than that of mug 2.