# Which of the Following Pairs May Give Equal Numerical Values of the Temperature of a Body? - Physics

MCQ

Which of the following pairs may give equal numerical values of the temperature of a body?

#### Options

• Fahrenheit and Kelvin

• Celsius and Kelvin

•  Kelvin and Platinum

#### Solution

Fahrenheit and Kelvin

Let θ be the temperature in Fahrenheit and Kelvin scales.

We know that the relation between the temperature in Fahrenheit and Kelvin scales is given by

(T_F-32)/180 =(T_K-273.15)/100

T_F=T_K=theta

Therefore,

(theta-32)/180=(T_K-273.15)/100

5θ -160 = 9θ -2458.5

4θ = 2298.35

θ = 574.59°

If we consider the same for Celsius and Kelvin scales

(T_C-0)/100 =(T_K-273.15)/100

Let the temperature be t

(t-0)/100 = (t-273.15)/100

t = t - 273.15

Thus, t does not exist.
The Kelvin scale uses mercury as thermometric substance, whereas the platinum scale uses platinum as thermometric substance. The scale depends on the properties of the thermometric substance used to define the scale. The platinum and Kelvin scales do not agree with each other. Therefore, there is no such temperature that has same numerical value in the platinum and Kelvin scale.

Concept: Temperature and Heat
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#### APPEARS IN

HC Verma Class 11, Class 12 Concepts of Physics Vol. 2
Chapter 1 Heat and Temperature
MCQ | Q 3 | Page 11