Question

A faulty thermometer has its fixed points marked at $5^{o}C$ and ${95}^{o}C$. This thermometer reads the temperature of a body as ${59}^{o}C$. The correct value is:

• A. ${59}^{o}C$
• B. ${8.6}^{o}C$
• C. ${60}^{o}C$
• D. ${28.89}^{o}C$

Answer 1

Answer: (C)

${60}^{o}C$

$\begin{array}{c}\frac{95-59}{l_2}=\frac{59-5}{l_1}\\ \frac{46}{l_2}=\frac{54}{l_1}\\ \frac{l_2}{l_1}=\frac{46}{54}.....\left(i\right)\\ \frac{100-x}{l_4}=\frac{x-0}{l_3}\\ \frac{l_4}{l_3}=\frac{100-x}{x}......\left(ii\right)\end{array}$

$\begin{array}{c}\frac{l_2}{l_1}=\frac{l_4}{l_3}-1110\\ \frac{46}{54}=\frac{100\cdot x}{x}\\ 46x=5400-54x\end{array}$

$\therefore x=60$