Which one of the following is the correct relation between Celsius and

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

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TF = (5/9)TC + 32

TF = (9/5)TC + 36

TF = (5/9)TC + 36

TF = (9/5)TC + 32

Answer is Right!

Answer is Wrong!

This question was previously asked in

UPSC CDS-2 – 2023

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The Celsius and Fahrenheit scales are two common temperature scales. The relationship between them is linear. On the Celsius scale, water freezes at 0°C and boils at 100°C. On the Fahrenheit scale, water freezes at 32°F and boils at 212°F.

The interval between the freezing and boiling points of water is 100 degrees on the Celsius scale and 180 degrees (212 – 32) on the Fahrenheit scale. Thus, 100°C corresponds to 180°F. This means a 1°C change is equivalent to a 1.8°F (180/100 = 9/5) change. Starting from the freezing point (0°C = 32°F), the formula to convert Celsius (T_C) to Fahrenheit (T_F) is T_F = (9/5)T_C + 32.

To convert Fahrenheit (T_F) to Celsius (T_C), the formula is T_C = (5/9)(T_F – 32). The two scales intersect at -40 degrees, where -40°C = -40°F.

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