Q 11-10-038NEETJEE MainMedium
A faulty thermometer reads $2°$ in melting ice and $102°$ in steam at normal pressure. When it reads $52°$, the correct temperature on the Celsius scale is
Answer: (A) $50°$C
The faulty scale has $100$ divisions between the fixed points, so
$$\frac{C - 0}{100} = \frac{52 - 2}{102 - 2} \;\Rightarrow\; C = 50°\text{C}$$
Solution by Sreeraj P, M.Sc Physics