Question

Two thermometers are calibrated, one in degrees Celsius and the other in degrees Fahrenheit.
At what temperature are their readings numerically the same?
Answer in units of K.

Answer 1

Answer:

temperature for which two scales are same is given as

$x = - 40^oC$

Explanation:

As we know that temperature scales are linear function

so we can compare two temperature scales by

$\frac{T_c - T_f}{T_b - T_f} = constant$

now we have

$\frac{T_c - 0}{100 - 0} = \frac{T_f - 32}{212 - 32}$

here we know that

$T_c = T_f = x$

so we have

$\frac{x - 0}{100} = \frac{x - 32}{180}$

$1.8 x = x - 32$

$x = - 40^oC$