Question

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

• A. $1^{\circ }F$
• B. ${\frac{9}{5}}^{\circ }F$
• C. ${\frac{5}{9}}^{\circ }F$
• D. ${33}^{\circ }F$

Answer 1

The correct option is B

${\frac{9}{5}}^{\circ }F$

We know that: $\frac{C}{5}=\frac{F-32}{9}$
where, $C$ is the temperature in Celcius scale and $F$ is the temperature in Fahrenheit scale.
$\Rightarrow F_{old}=\frac{9\times C}{5}+32$
1${}^{\circ }C$ rise in temperature means,
$F_{new}=\frac{9(C+1)}{5}+32$
or, $F_{new}=\frac{9C}{5}+32+\frac{9}{5}$
or, $F_{new}=F_{old}+\frac{9}{5}$