Question

At what temperature will the Fahrenheit scale have the double reading as that of Celcius?

• A. ${260}^{o}C$
• B. ${240}^{o}C$
• C. ${160}^{o}C$
• D. ${370}^{o}C$

Answer 1

The correct option is C ${160}^{o}C$

The farenheit and celsius relation is given by,
$\frac{F-32}{9}=\frac{C}{5}$
And according to question, $F=2C$
So, putting $2C$ in place of $F$ in the above equation.
$\therefore \frac{2C-32}{9}=\frac{C}{5}$
$\Rightarrow 9C=10C-32\ast 5$
$\therefore C=160$