Question

The fundamental intervals of two thermometers X and Y are ${70}^o$ and ${140}^o$ respectively. Their ice points are ${10}^o$ and $0^o$ respectively, If Y reads ${90}^o$. What would X read?

Answer 1

Given Fundamental interval of
$X=UF{P}_1-LF{P}_1={70}^o$
Fundamental interval of
$Y=UF{P}_2=LP{F}_2=140$
LFP of $X={10}^o$
LFP of $Y=0^o$
Reading on $Y={90}^o$

$\frac{X-LP{F}_1}{UF{P}_1-LF{P}_1}=\frac{Y-LF{P}_2}{UF{P}_2-LF{P}_2}$

$\frac{X-10}{70}=\frac{90-0}{140}$

$X-10=\frac{90\times 70}{140}$

$X=45+10={55}^o$