Question:
At which temperature, magnitude of \( ^\circ C \) and \( ^\circ F \) are equal?
At which temperature, magnitude of \( ^\circ C \) and \( ^\circ F \) are equal?
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Only one temperature where \( ^\circ C = ^\circ F \): \(-40^\circ\).
Updated On: Apr 22, 2026
- 273
- 40
- -40
- -273
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Concept:
Relation between Celsius and Fahrenheit:
\[
F = \frac{9}{5}C + 32
\]
Step 1: Set condition.
\[ F = C \]
Step 2: Substitute.
\[ C = \frac{9}{5}C + 32 \]
Step 3: Solve.
\[ C - \frac{9}{5}C = 32 \Rightarrow -\frac{4}{5}C = 32 \Rightarrow C = -40 \]
Step 1: Set condition.
\[ F = C \]
Step 2: Substitute.
\[ C = \frac{9}{5}C + 32 \]
Step 3: Solve.
\[ C - \frac{9}{5}C = 32 \Rightarrow -\frac{4}{5}C = 32 \Rightarrow C = -40 \]
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