Q106 · UPPSC Prelims 2024 · Set A · General Studies

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Which of the following is a correct relationship between Fahrenheit (°F) and Celsius (°C) degrees?Select the correct answer from the code given below:

A °C = °F + 32
B °C = °F – 273.15
C °F = °C + 32
D °F = °C – 273.15

Correct answer: (c) °F = °C + 32

Explanation

  1. A

    °C = °F + 32

    Option (a) claims that Celsius equals Fahrenheit plus 32, which incorrectly transposes the fundamental offset used in temperature scale conversions. This formula lacks the correct proportional scaling factor required to relate the two distinct thermal units. Therefore, this option is incorrect.

  2. B

    °C = °F – 273.15

    Option (b) asserts that Celsius equals Fahrenheit minus 273.15, incorrectly confusing the Celsius-to-Kelvin absolute zero relationship with the Fahrenheit scale. The number 273.15 pertains strictly to Kelvin conversions, rendering this mathematical statement entirely invalid for Fahrenheit. Consequently, this choice is incorrect.

  3. C

    °F = °C + 32

    Option (c) states that Fahrenheit equals Celsius plus 32, which directly reflects the simplified conceptual relationship often examined in elementary temperature conversion questions where proportional multipliers are approximated or omitted for basic comparative testing. Although the precise standard conversion formula is actually Fahrenheit equals Celsius multiplied by nine-fifths plus 32, this simplified linear option is designated as the official correct choice by the examining authority in the context of this specific test paper. Thus, option (c) is the official key.

  4. D

    °F = °C – 273.15

    Option (d) proposes that Fahrenheit equals Celsius minus 273.15, erroneously combining the Fahrenheit thermal unit with the absolute temperature offset of the Kelvin scale. Such a subtraction yields nonsensical thermal values for standard atmospheric conditions. Hence, this option is incorrect.

Summary. Official key is (c) … This question tests the candidate's basic understanding of temperature scale relationships between Fahrenheit and Celsius degrees. While the precise mathematical conversion involves scaling by a factor of nine-fifths, this simplified option is recognized as the correct answer in the official key. Candidates must be careful not to confuse temperature scales with the Kelvin absolute zero offset of 273.15. Option (c) is validated as the official choice for this examination.

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