Question

A body whose temperature is $122{}^{\circ }\text{F}$, when measured using degree celsius and Kelvin scale thermometers, gives the readings respectively as:

• A. $50{}^{\circ }\text{C}$ and $223\text{K}$
• B. $50{}^{\circ }\text{C}$ and $323\text{K}$
• C. $-50{}^{\circ }\text{C}$ and $323\text{K}$
• D. $-50{}^{\circ }\text{C}$ and $223\text{K}$

Answer 1

The correct option is B $50{}^{\circ }\text{C}$ and $323\text{K}$

As per the relation between degree celsius, fahrenheit and kelvin:
$\frac{C}{100}=\frac{F-32}{180}=\frac{K-273}{100}$.
Since the body temperature is $122{}^{\circ }\text{F}$.
So, $\frac{C}{100}=\frac{122-32}{180}=\frac{K-273}{100}$
we get,
$\frac{C}{100}=\frac{122-32}{180}$
$\frac{C}{100}=\frac{1}{2}$
Hence, reading in the degree celsius scale is $50{}^{\circ }\text{C}$
and, similarly reading in the Kelvin scale is $323\text{K}$.