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Q99 (CDS-II/2023) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Thermal physics Answer Verified

Which one of the following is the correct relation between Celsius and Fahrenheit temperature scales? (Symbols carry their usual meanings)

Result
Your answer: —  Â·  Correct: A
Explanation

The relationship between the Celsius (TC) and Fahrenheit (TF) temperature scales is defined by a linear equation based on the freezing and boiling points of water. On the Celsius scale, water freezes at 0°C and boils at 100°C, while on the Fahrenheit scale, these points are 32°F and 212°F respectively. This creates a ratio where 100 Celsius degrees are equivalent to 180 Fahrenheit degrees (a ratio of 5:9). To convert from Celsius to Fahrenheit, one must multiply the Celsius temperature by 9/5 (or 1.8) and then add 32 to account for the offset of the freezing point. Therefore, the correct mathematical relation is TF = 9/5 TC + 32. For example, 15°C converts to 59°F because (15 * 9/5) + 32 = 27 + 32 = 59.

Sources

  1. [1] Exploring Society:India and Beyond ,Social Science-Class VII . NCERT(Revised ed 2025) > Chapter 2: Understanding the Weather > LET'S REMEMBER > p. 31
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