Final Answer:
False. The refractive index (n) does not have units of ºC.
Step-by-step explanation:
The refractive index (n) is a dimensionless quantity, meaning it does not have any units associated with it. The refractive index is a measure of how much light is bent or refracted as it passes through a medium, and it is defined as the speed of light in a vacuum divided by the speed of light in the medium. Since both the numerator and denominator have the same units (meters per second), they cancel out, leaving the refractive index as a pure number without any units.
The formula for the refractive index (n) is given by: n = c/v, where 'n' represents the refractive index, 'c' is the speed of light in a vacuum, and 'v' is the speed of light in the medium.
Since the speed of light in a vacuum is approximately 3 × 10^8 meters per second, and the speed of light in a medium is always less than or equal to the speed of light in a vacuum, the refractive index is always greater than or equal to 1. This numerical value is a ratio without any associated units, reinforcing that the refractive index is a dimensionless quantity. Therefore, it is not correct to state that the refractive index has units of ºC.