Question

A temperature difference of 15 ${}^{\circ }$ on the Fahrenheit scale

• A. 27${}^{\circ }$
• B. 59${}^{\circ }$
• C. -27${}^{\circ }$
• D. -59${}^{\circ }$

Answer 1

The correct option is A 27${}^{\circ }$

For a temperature in Fahrenheit $T_F$ and a temperature in celcius $T_C$.

$T_{F_1}=\frac{T_{C_1}5}{9}+32$

$\Rightarrow T_{F_2}=\frac{T_{C_2}5}{9}+32$

$\Rightarrow T_{F_2}-T_{F_1}=\frac{5}{9}(T_{C_2}-T_{C_1})$

As, the temperature difference is ${15}^{0}C.$

$\Rightarrow 15=\frac{5}{9}(T_{C_2}-T_{C_1})$

$\Rightarrow (T_{C_2}-T_{C_1})=15\times \frac{5}{9}$

$={27}^{0}C$

Hence the answer is $\left({27}^{0}C\right).$