Question

The temperature at which the reading of Fahrenheit thermometer will be double that of a centigrade thermometer is

• A. ${160}^{\circ }\text{C}$
• B. ${180}^{\circ }\text{C}$
• C. ${32}^{\circ }\text{C}$
• D. ${100}^{\circ }\text{C}$

Answer 1

The correct option is A ${160}^{\circ }\text{C}$

We know that, relation between Celsius and Fahrenheit is
$\frac{9}{5}C=F-32$
Given that the temperature on Fahrenheit is $2T$ and on Celsius scale it is $T$ (say),
$\Rightarrow 9T=5(2T-32)$
$\Rightarrow T={160}^{\circ }\text{C}$