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Which of the following is the smallest temperature?
A) ${1^0}R$
B) ${1^0}C$
C) ${1^0}F$
D) $1K$

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Last updated date: 13th Jun 2024
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Answer
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Hint: In this question we have to find the smallest temperature from the given option. In the option, different temperature units are given. So to find the smallest temperature we will convert all temperature units into one particular unit then we will compare the temperature value and we will get the required answer.

Complete step by step solution:
The absolute temperature scale was constructed such that a change of temperature of 1 kelvin is equal to a change of 1 degree Celsius. This implies that it is simple to translate a temperature from degrees Celsius to kelvin. To transform a temperature in degrees Celsius into Kelvins, you must add $273.15$ units. For reference, zero degrees Celsius ( ${0^0} C$ ), which is the temperature at which water freezes, is $273.15$ kelvins ( $273.15K$ ). To transform a temperature in Kelvins into degrees Celsius you must deduct $273.15$ units. For reference, $310$ kelvins is $36.85$ degrees Celsius, which is approximately the natural temperature of a human body.
Now we will convert all temperature units given in the option to Celsius.

A) ${1^0}R$
Here, the temperature unit is given in the Rankine.
Now convert Rankine to Celsius.
${1^0}R = -{272.59^0}C$

B) ${1^0}C$

C) ${1^0}F$
Here the temperature unit is given in Fahrenheit.
Now convert Fahrenheit to Celsius.
${1^0}F = -{17^0}C$

D) $1K$
Here the temperature unit is given in Kelvin.
$1K= -{272.15^0}C$
From the above we can conclude that  the smallest temperature is  ${1^0}R$.

Therefore, the correct option is (A).
 
Note: The idea of an absolute temperature scale is powerful; it is different from merely relative temperature, in which things are spoken about becoming hotter or cooler than anything else. The absolute, thermodynamic temperature of an object contains knowledge about how much average energy of motion (kinetic energy) its atoms and molecules have.