Final answer:
Your understanding is correct; heat reflective paint can lead to a reduction in ambient temperature in a room without a significant internal heat source by reflecting IR radiation, and in a room with an internal heat source, the effect depends on the amount of IR radiation present inside versus outside.
Step-by-step explanation:
Your understanding of how heat reflective paint affects a room's temperature is largely correct. Let's break down the scenarios you've presented:
Scenario A: Room without a significant heat source
In this case, applying heat reflective paint to a room that doesn't have a significant internal heat source will generally lead to a reduction in ambient temperature. The paint's reflective properties inhibit the transfer of heat from external sources into the room by reflecting infrared (IR) radiation away. While some heat may still enter through convection and conduction, the overall energy transfer is indeed lessened.
Scenario B: Room with a heat source emitting IR rays
When a room contains a heat source, such as an infrared lamp, the IR rays will reflect off the walls if they are covered with IR reflective paint. Eventually, these rays will either be absorbed by the air or return to the heat source. Depending on the balance of internal and external IR radiation sources, the room's ambient temperature could either increase or decrease. If more IR radiation is generated within the room than is being reflected out, the temperature could rise. Conversely, if the paint effectively keeps external IR out without trapping too much internal IR, the room could still cool down.
In both scenarios, the efficiency of heat transfer by radiation depends quite a bit on the color and reflective properties of the surfaces involved.