Question

A faculty thermometer has its lower fixed point marked as $-{10}^{\circ }$ and upper fixed point marked as ${110}^{\circ }$. If the temperature of a body in this scale is ${62}^{\circ }$, its temperature on the Celsius scale will be:

• A. ${72}^{\circ }C$
• B. ${82}^{\circ }C$
• C. ${60}^{\circ }C$
• D. ${42}^{\circ }C$

Answer 1

The correct option is C ${60}^{\circ }C$

Here faulty reading $x=62°$

Lower fixed point of faulty reading $L.F.P=-10°$

Upper fixed point of faulty reading $U.F.P=110°$

Fundamental interval $F.I=110-(-10)=120°$

Correct reading $C=?$

$\frac{C}{100}=\frac{x-L.F.P}{F.I}.$

$\frac{C}{100}=\frac{62-(-10)}{120}=0.6$

$C=0.6\times 100=60°C$