Question

The numerical value of $\alpha$ expressed per ${}^{\circ }C$ is equal to ______ times numeric value expressed per ${}^{\circ }F$

Answer 1

The coefficient of thermal expansion describes how the size of an object changes with a change in temperature per degree.

We know that $9C=5(F-32)$

Let the temperature in Celsius scale be $C$ and in Fahrenheit be $F$

$F_1=\frac{9C}{5}+32$

Now when the Celsius scale is increase by 1 , so new temperature is $C+1$ So

$F_2=\frac{9(C+1)}{5}-32$

$F_2-F_1={\frac{9}{5}}^{o}F$

For $\alpha$ in ${}^{0}C$ is 9/5 times numeric value in Fahrenheit.