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Q17 (CISF/2019) Science & Technology › Basic Science (Physics, Chemistry, Biology)

A Kelvin thermometer and a Fahrenheit thermometer both give the same reading for a certain sample. The corresponding Celsius temperature is about

Result
Your answer: —  ·  Correct: A

Explanation

To find the temperature where the Kelvin (K) and Fahrenheit (F) scales provide the same reading, we use their relationship with the Celsius (C) scale:

  • K = C + 273.15
  • F = (9⁄5 × C) + 32

Let the common reading be x, such that K = F = x. From the first equation, C = x - 273.15. Substituting this into the second equation:

x = 9⁄5(x - 273.15) + 32

Solving for x:
5x = 9(x - 273.15) + 160
5x = 9x - 2458.35 + 160
4x = 2298.35
x ≈ 574.59

The corresponding Celsius temperature (C) is:
C = x - 273.15 = 574.59 - 273.15 = 301.44 °C.

Thus, the temperature is approximately 301 °C. Options B, C, and D are mathematically incorrect based on the standard conversion formulas.

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SIMILAR QUESTIONS

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A Kelvin thermometer and a Fahrenheit thermometer both give the same reading for a certain sample. What would be the corresponding reading in a Celsius thermometer ?

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