Question

What is the temperature at which we get the same reading on both the Celsius and Fahrenheit scales ?

• A. $-{40}^{\circ }\text{C}$
• B. $-{60}^{\circ }\text{C}$
• C. $+{40}^{\circ }\text{C}$
• D. $+{60}^{\circ }\text{C}$

Answer 1

The correct option is A $-{40}^{\circ }\text{C}$

Relation between ${}^{\circ }\text{C}$ and ${}^{\circ }\text{F}$ is

$\frac{C-0}{100}=\frac{F-32}{180}$

Let the required temperature is $x$, so, both the scales will show the same temperature $x$.

$\Rightarrow \frac{x}{100}=\frac{x-32}{180}$

$180x=100x-3200$
$x=-{40}^{\circ }\text{C}$

Hence, $\left(A\right)$ is the correct answer.