Question

A centrigrade and a Fahrenheit thermometer are dipped in boiling water.The water temperature is lowered until the Fahrenheit thermometer registers ${176}^{0}F$ .What is the fall in temperature as registered by the Centigrade thermometer

• A. ${20}^{\circ }C$
• B. ${40}^{\circ }C$
• C. ${60}^{\circ }C$
• D. ${80}^{\circ }C$

Answer 1

The correct option is A ${20}^{\circ }C$

$\begin{array}{c}\frac{C-0}{100}=\frac{F-32}{180}=\frac{176-32}{180}=\frac{144}{180}\\ \Rightarrow C=\frac{12\times 12\times 100}{180}={80}^{\circ }C\\ Fallintemperature={100}^{\circ }C-{80}^{\circ }C={20}^{\circ }C\\ Ans.\left(A\right)\end{array}$