Question

$1^{\circ }C$ rise in temperature is equal to a rise of.

• A. $1^{\circ }F$
• B. ${\frac{9}{5}}^{\circ }F$
• C. ${\frac{5}{9}}^{\circ }F$

Answer 1

The correct option is B ${\frac{9}{5}}^{\circ }F$

From conversion formula of temperature scales,
$\frac{C}{5}=\frac{F-32}{9}$
where
$C$ : Temperature in Celcius scale
$F$ : Temperature in Fahrenheit scale

$F_i=\frac{9C}{5}+32$
After 1${}^{\circ }C$ rise in temperature,
$F_f=\frac{9(C+1)}{5}+32$
$F_f=\frac{9C}{5}+32+\frac{9}{5}$
$F_f=F_i+\frac{9}{5}$

Hence, temperature increase of $9/5^{\circ }F$ is equivalent to $1^{\circ }C$ increase in temperat.ure