Question

A body whose temperature is $90{}^{\circ }\text{C}$, when measured using Fahrenheit and Kelvin scale thermometers, gives the readings respectively as:

• A. $363{}^{\circ }\text{F}$ and $194\text{K}$
• B. $194{}^{\circ }\text{F}$ and $353\text{K}$
• C. $204{}^{\circ }\text{F}$ and $363\text{K}$
• D. $194{}^{\circ }\text{F}$ and $363\text{K}$

Answer 1

The correct option is D $194{}^{\circ }\text{F}$ and $363\text{K}$

As per the relation between degree Celsius, Fahrenheit, and Kelvin:
$\frac{C}{100}=\frac{F-32}{180}=\frac{K-273}{100}$
Since the temperature of the body in degrees Celcius is 90, so we get,
$\frac{90}{100}=\frac{F-32}{180}$
Rearranging this we get,
$F-32=18\times 9$
$F=194$
So, the reading on the Fahrenheit scale is $194{}^{\circ }\text{F}$
and, $K=273+C$
And, since the temperature of the body in degree Celcius is 90, so we get,
$K=273+90$
Therefore, the reading on the Kelvin scale is $363\text{K}$.