A thermometer graduated according to a linear scale reads a value… - Vidyadip

MCQ

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 ${}^oC$, if this thermometer in the contact with the object reads $x_0/2$ ?

✓
$25$
B
$60$
C
$40$
D
$35$

✓

Answer

Correct option: A.

$25$

a
$t = \frac{{{x_t} - {x_0}}}{{{x_{100}} - {x_0}}}{100^ \circ }C$

$\frac{{\frac{{{x_0}}}{2} - \frac{{{x_0}}}{3}}}{{x - \frac{{{x_0}}}{3}}}{100^ \circ }C$

$ = {25^ \circ }C$

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