Final answer:
The Celsius and Kelvin temperature scales have units of the same magnitude, as one unit of Kelvin corresponds to one degree Celsius. The Fahrenheit and Celsius scales intersect at -40 degrees, but Fahrenheit and Kelvin scales have no point of intersection in numerical values. The correct answers are options (a) and (c).
Step-by-step explanation:
Among the temperature scales listed, the Celsius and Kelvin scales have units with the same magnitude. This is because a one-degree increment on the Celsius scale is 1.8 times larger than one degree on the Fahrenheit scale, which is mathematically represented as (180/100) or (9/5). Conversely, the Kelvin scale is an absolute temperature scale where 0 K is absolute zero, and the magnitude of one unit on the Kelvin scale is the same as one degree on the Celsius scale.
The Fahrenheit and Celsius scales have the same numerical value at -40 degrees. However, there is no such point where the Fahrenheit and Kelvin scales have the same numerical value because the Kelvin scale begins at absolute zero and does not go into negative values.