Question

Select the correct option given below:
The temperature which has same numerical value on Celsius and Fahrenheit scale is:

• A. $273$
• B. $-273$
• C. $-40$
• D. $40$

Answer 1

The correct option is C $-40$

Let T be the same numerical value of temperature on celsius scale and Fahrenheit scale.Then using the relation
$\frac{{}^{o}C}{100}-\frac{{}^{o}F-32}{180}$

According to question
${}^{o}C{=}^{o}F=T$

$\therefore \frac{T}{100}=\frac{T-32}{180}$

$\therefore T=-40{}^{o}C=-{40}^{o}F$