Question

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

A
59oC
B
8.6oC
C
60oC
D
28.89oC

Solution

## The correct option is D $$60^oC$$$$\begin{array}{l}\dfrac{95-59}{l_{2}}=\dfrac{59-5}{l_{1}} \\\dfrac{46}{l_{2}}=\dfrac{54}{l_{1}}\\\dfrac{l_{2}}{l_{1}}=\dfrac{46}{54}.....(i)\\\dfrac{100-x}{l_{4}}=\dfrac{x-0}{l_{3}}\\\dfrac{l_{4}}{l_{3}}=\dfrac{100-x}{x}......(ii)\end{array}$$$$\begin{array}{l}\dfrac{l_{2}}{l_{1}}=\dfrac{l_{4}}{l_{3}}-1110 \\\dfrac{46}{54}=\dfrac{100 \cdot x}{x}\\46 x=5400-54 x\end{array}$$$$\therefore x=60$$Physics

Suggest Corrections

0

Similar questions
View More

People also searched for
View More