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Which of the following pairs may give equal numerical values of the temperature of a body?
- a)None of these
- b)Celsius and Kelvin
- c)Kelvin and Platinum
- d)Fahrenheit and Kelvin
Correct answer is option 'A'. Can you explain this answer?
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Which of the following pairs may give equal numerical values of the te...
Pair of Temperature Scales
Temperature is a measure of the degree of hotness or coldness of an object. There are several temperature scales that are used in different parts of the world. The most commonly used temperature scales are:
1. Fahrenheit scale (°F)
2. Celsius scale (°C)
3. Kelvin scale (K)
Equal Numerical Values
The question asks which of the following pairs may give equal numerical values of the temperature of a body. Let us look at each option one by one.
a) Fahrenheit and Kelvin
Fahrenheit and Kelvin are two different temperature scales. However, it is possible for a temperature in Fahrenheit to be equal to a temperature in Kelvin. This happens when the numerical value of the temperature in Fahrenheit is converted to Kelvin using a formula. The formula for converting Fahrenheit to Kelvin is:
T(K) = (T(°F) + 459.67) × 5/9
For example, a temperature of 212°F is equal to a temperature of 373.15 K. Therefore, option A is the correct answer.
b) Celsius and Kelvin
Celsius and Kelvin are also two different temperature scales. It is possible for a temperature in Celsius to be equal to a temperature in Kelvin, but this only happens when the temperature is equal to -273.15°C. This is known as absolute zero, which is the lowest possible temperature. Therefore, option B is not the correct answer.
c) Kelvin and Platinum
Kelvin is a temperature scale, but platinum is not. Therefore, option C is not the correct answer.
d) None of these
Option A is the correct answer, as explained above. Therefore, option D is not the correct answer.
Temperature is a measure of the degree of hotness or coldness of an object. There are several temperature scales that are used in different parts of the world. The most commonly used temperature scales are:
1. Fahrenheit scale (°F)
2. Celsius scale (°C)
3. Kelvin scale (K)
Equal Numerical Values
The question asks which of the following pairs may give equal numerical values of the temperature of a body. Let us look at each option one by one.
a) Fahrenheit and Kelvin
Fahrenheit and Kelvin are two different temperature scales. However, it is possible for a temperature in Fahrenheit to be equal to a temperature in Kelvin. This happens when the numerical value of the temperature in Fahrenheit is converted to Kelvin using a formula. The formula for converting Fahrenheit to Kelvin is:
T(K) = (T(°F) + 459.67) × 5/9
For example, a temperature of 212°F is equal to a temperature of 373.15 K. Therefore, option A is the correct answer.
b) Celsius and Kelvin
Celsius and Kelvin are also two different temperature scales. It is possible for a temperature in Celsius to be equal to a temperature in Kelvin, but this only happens when the temperature is equal to -273.15°C. This is known as absolute zero, which is the lowest possible temperature. Therefore, option B is not the correct answer.
c) Kelvin and Platinum
Kelvin is a temperature scale, but platinum is not. Therefore, option C is not the correct answer.
d) None of these
Option A is the correct answer, as explained above. Therefore, option D is not the correct answer.
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Which of the following pairs may give equal numerical values of the te...
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
The Kelvin scale uses mercury as a thermometric substance, whereas the platinum scale uses platinum as a 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.
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