Question

A temperature difference of ${30}^{o}C$ in the Fahrenheit scale is :

• A. ${54}^{o}F$
• B. ${27}^{o}F$
• C. ${86}^{o}F$
• D. $-{54}^{o}F$

Answer 1

The correct option is C ${86}^{o}F$

The relation between fahrenheit and celsius scale is given by: $\frac{t_C-0}{100}=\frac{t_F-32}{180}$ ,

Given $t_C={30}^{o}C$ ,

Hence, $\frac{30-0}{100}=\frac{t_F-32}{180}$

$\Rightarrow 6=t_F-\frac{32}{9}$

$\Rightarrow t_F-32=54$

$\Rightarrow t_F=32+54={86}^{o}F$