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Which pair of temperature scales have the same interval step size?*1 pointCelsius and Fahrenheit.Fahrenheit and Kelvin.Kelvin and Celsius.This does not exist.

Question

Which pair of temperature scales have the same interval step size?

  • 1 point
  • Celsius and Fahrenheit.
  • Fahrenheit and Kelvin.
  • Kelvin and Celsius.
  • This does not exist.
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Solution

To determine which pair of temperature scales have the same interval step size, we need to analyze the relationship between the Celsius, Fahrenheit, and Kelvin scales.

  1. Celsius and Fahrenheit: The Celsius scale has a step size of 1°C, while the Fahrenheit scale has a step size of 1°F. However, the conversion between Celsius and Fahrenheit is given by the formula: F=95C+32 F = \frac{9}{5}C + 32 This indicates that the interval sizes are not equivalent; thus, they do not have the same step size.

  2. Fahrenheit and Kelvin: The Kelvin scale has a step size of 1K, which is equivalent to a change of 1°C, as they are related by: K=C+273.15 K = C + 273.15 The Fahrenheit scale’s interval does not match with Kelvin’s step of 1K.

  3. Kelvin and Celsius: The Kelvin scale measures the same temperature intervals as the Celsius scale, as a change of 1°C corresponds to a change of 1K.

  4. Final Answer: Kelvin and Celsius.

Thus, the correct answer is the pair of scales: Kelvin and Celsius.

This problem has been solved

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