Question

The distance between the upper and lower fixed points in $80cm$. Find the temperature on Celsius scale, if the mercury level rises to a height of $10.4cm$ above the lower fixed point . What will be this temperature on the Fahrenheit scale.

Answer 1

Step-I:Given

Distance between upper and lower fixed points = $80cm$

Number of divisions between upper and lower fixed points =$100$

Mercury level rises to a height=$10.4cm$

Step-II:Calculation

1 .Length for $1{}^0\mathrm{C}$=$\frac{80cm}{100{}^{0}C}=0.8cm$

2.Temperature for $10.4cm$=$\frac{10.4\times 1{}^{0}C}{0.8}=13{}^{0}C$

3.This temperature on the Fahrenheit scale.

$\frac{\mathrm{C}}{100}=\frac{\mathrm{F}-32}{180}$

$\frac{13}{100}=\frac{\mathrm{F}-32}{180}$

$13\times 18=10F-320$

$F=55.4$

Step-III:Answer

1. temperature on Celsius scale is $13{}^{0}C$
2. Temperature on the Fahrenheit scale is $F=55.4$