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 $0 {^{\circ}C}$, if this thermometer in the contact with the object reads $x_0/2$ ?

• A. 35
• B. 25
• C. 60
• D. 40

Answer 1

Answer: (B)

25

Answer 2

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