Question

Temperature at which Fahrenheit and kelvin pair of scales give the same reading will be:

• A. $\theta =-40$
• B. $\theta =40$
• C. $\theta =574.25$
• D. 512.45

Answer 1

Answer: (C)

$\frac{T_F-32}{180}=\frac{T_K-273}{100}$
$=\frac{\theta -32}{180}=\frac{\theta -273}{100}$
$\Rightarrow 5\theta -32\times 5=9\theta -273\times 9$
$=\theta =574.25$