The reading on ADE temperature scale at the ice melting point is \(40^{\circ} A\) and \(80^{\circ} A\) at the steam point. Calculate the reading on the Celsius scale equivalent to \(50^{\circ} A\).
A. \(25^{\circ} C\) B. \(40^{\circ} C\) C. \(45^{\circ} C\) D. \(60^{\circ} C\)
Correct Answer: A
Explanation
The solution is obtained by the interpolation described belowy interpolation \begin{aligned} &\frac{50-40}{80-40}=\frac{\theta-0}{100-0} \Rightarrow \frac{10}{40}=\frac{\theta}{100}, \\ &\theta=\frac{10}{40} \times 100=25^{\circ} C \end{aligned}