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The distance of each band from the well corresponds directly to its ________________.

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Final answer:

The distance of each band from the well is directly related to the wavelength of light, as demonstrated in interference patterns resulting from varying thickness in illuminated objects like bubbles.

Step-by-step explanation:

The distance of each band from the well corresponds directly to its wavelength. These bands are part of a phenomenon known as interference patterns, which arise due to the constructive and destructive interference of waves. When discussing light interference, bright bands denote the location of maximum amplitude in standing waves, which is where constructive interference occurs. On the other hand, dark bands represent areas of destructive interference. The wavelength of light is inversely proportional to the energy of the radiation, which can be determined by the distance between consecutive points of equal position (two crests or two troughs) of the wave in a graphic representation.

If the bubble described in the question were illuminated with pure red light, we would observe bright and dark bands at uniform increases in thickness. This pattern signifies that if the bubble varied smoothly in thickness as in a smooth wedge, the bands resulting from the interference of light waves would be evenly spaced. This spacing is due to the consistency in changes in the path length for the light waves traversing different thicknesses of the bubble, ultimately creating consistent shifts in the interference pattern. Thus, the bands' positions are a direct representation of the light's wavelength and interference arising from varying paths through the bubble's thickness.

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