Final answer:
The question involves Physics concepts of color perception, where color is determined by the light an object reflects. A tablecloth appears blue if it reflects blue light. So option (A) is correct.
Step-by-step explanation:
The question seems to pertain to the concept of color perception in Physics, particularly when dealing with the properties of light and how different colors are observed under varying lighting conditions. When a white light is projected onto an object, like a tablecloth, the perceived color of the object is the color it reflects. For example, a blue tablecloth will reflect blue light and absorb other colors.
If red and green lights shine on a white paper, we perceive it as yellow because blue is the only primary color not being reflected. This is because color perception is a result of different wavelengths of light, with blue having a short wavelength and yellow sitting roughly in the middle of the visible spectrum.
Determining why colors fail to appear under some conditions would require understanding the conditions that affect light absorption and reflection. Missing colors could be due to the absence of certain wavelengths of light that an object needs to reflect in order to be perceived as having that color.
Finally, to analyze patterns in color perception, looking at the data regarding wavelengths and frequencies is crucial as they determine the color that will be ultimately perceived.