Numerically two thermometers, one in Fahrenheit scale and another in Celsius scale shall read same at
– 40°
0°
– 273°
100°
Answer is Right!
Answer is Wrong!
This question was previously asked in
UPSC NDA-1 – 2021
To find the point where the two scales read the same, we set the temperature in Fahrenheit ($T_F$) equal to the temperature in Celsius ($T_C$) and use the conversion formula: $T_F = T_C$. Let this common temperature be $x$. The conversion formula from Celsius to Fahrenheit is $T_F = T_C \times \frac{9}{5} + 32$. Substituting $x$ for both $T_F$ and $T_C$: $x = x \times \frac{9}{5} + 32$. Solving for $x$: $x – \frac{9x}{5} = 32 \implies \frac{5x – 9x}{5} = 32 \implies \frac{-4x}{5} = 32 \implies -4x = 160 \implies x = \frac{160}{-4} = -40$. Thus, -40°C is equal to -40°F.