Question

A thermometer graduated according to a linear scale reads a value $x_0$ when in contact with boiling water, and $x_0/3$ when in contact with ice. What is the temperature of an object in ${}^{\circ }C$, if this thermometer in the contact with the object reads $x_0/2$?

Answer 1

Answer: 25

Let required temperature $=T^{\circ }C$

$\Rightarrow T^{\circ }C=\frac{x_0}{2}-\frac{x_0}{3}=\frac{x_0}{6}$
&$(x_0-\frac{x_0}{3})=(100-0^{\circ })$
$\Rightarrow \frac{2x_0}{3}=100$
$\Rightarrow x_0=\frac{300}{2}$
$\Rightarrow T^{\circ }C=\frac{x_0}{6}=\frac{150}{6}=25^{\circ }C$