
The normal body temperature of a human body is \[{{98.4}^{0}}F\]. It’s value on the Celsius scale is?
\[\begin{align}
& A)\text{ 3}{{\text{2}}^{0}}C \\
& B)\text{ 3}{{\text{7}}^{0}}C \\
& C)\text{ 2}{{\text{8}}^{0}}C \\
& D)\text{ 4}{{\text{8}}^{0}}C \\
\end{align}\]
Answer
571.2k+ views
Hint: We can convert between the different scales of temperature measurement by using the relationships between them. All the temperature scales are related to each other via mathematical formulae. Let us see the relation between Celsius scale and Fahrenheit scale.
Formula used:
We will use the formula which relates the Fahrenheit scale to the Celsius scale in solving this problem. The conversion formula is as follows –
\[\dfrac{C}{5}=\dfrac{F-32}{9}\]
Complete answer:
The Celsius scale is widely used in measuring the temperature in nature. The Fahrenheit scale is used mainly in living organisms. Both the scales are related to each other by the following equation –
\[\dfrac{C}{5}=\dfrac{F-32}{9}\]
Where, C is the temperature in Celsius scale and F is the temperature in Fahrenheit scale.
We can convert from Celsius to Fahrenheit using the formula derived as –
\[F=\dfrac{9C}{5}+32\]
We can convert from the Fahrenheit scale to Celsius scale using the formula –
\[C=\dfrac{5}{9}(F-32)\]
Now let us consider the temperature given in the question.
The normal body temperature is \[{{98.4}^{0}}F\]as measured in a Fahrenheit scale. We need to convert this into the Celsius scale using the formula –
\[C=\dfrac{5}{9}(F-32)\]
Given \[F={{98.4}^{0}}F\],
The temperature in Celsius scale is,
\[\begin{align}
& C=\dfrac{5}{9}({{98.4}^{0}}-32) \\
& C=\dfrac{5}{9}\times {{66.4}^{0}} \\
& \Rightarrow C={{36.89}^{0}}C\approx {{37}^{0}}C \\
\end{align}\]
The correct answer is option B.
Note:
The main three scales of temperature measurement are Celsius scale, The absolute or Kelvin scale and the Fahrenheit scale. Of which Celsius scale is used in common day to day references, Kelvin scale is used in scientific aspects and Fahrenheit scale is used in medical sciences.
Formula used:
We will use the formula which relates the Fahrenheit scale to the Celsius scale in solving this problem. The conversion formula is as follows –
\[\dfrac{C}{5}=\dfrac{F-32}{9}\]
Complete answer:
The Celsius scale is widely used in measuring the temperature in nature. The Fahrenheit scale is used mainly in living organisms. Both the scales are related to each other by the following equation –
\[\dfrac{C}{5}=\dfrac{F-32}{9}\]
Where, C is the temperature in Celsius scale and F is the temperature in Fahrenheit scale.
We can convert from Celsius to Fahrenheit using the formula derived as –
\[F=\dfrac{9C}{5}+32\]
We can convert from the Fahrenheit scale to Celsius scale using the formula –
\[C=\dfrac{5}{9}(F-32)\]
Now let us consider the temperature given in the question.
The normal body temperature is \[{{98.4}^{0}}F\]as measured in a Fahrenheit scale. We need to convert this into the Celsius scale using the formula –
\[C=\dfrac{5}{9}(F-32)\]
Given \[F={{98.4}^{0}}F\],
The temperature in Celsius scale is,
\[\begin{align}
& C=\dfrac{5}{9}({{98.4}^{0}}-32) \\
& C=\dfrac{5}{9}\times {{66.4}^{0}} \\
& \Rightarrow C={{36.89}^{0}}C\approx {{37}^{0}}C \\
\end{align}\]
The correct answer is option B.
Note:
The main three scales of temperature measurement are Celsius scale, The absolute or Kelvin scale and the Fahrenheit scale. Of which Celsius scale is used in common day to day references, Kelvin scale is used in scientific aspects and Fahrenheit scale is used in medical sciences.
Recently Updated Pages
Two men on either side of the cliff 90m height observe class 10 maths CBSE

What happens to glucose which enters nephron along class 10 biology CBSE

Cutting of the Chinese melon means A The business and class 10 social science CBSE

Write a dialogue with at least ten utterances between class 10 english CBSE

Show an aquatic food chain using the following organisms class 10 biology CBSE

A circle is inscribed in an equilateral triangle and class 10 maths CBSE

Trending doubts
The shortest day of the year in India

Why is there a time difference of about 5 hours between class 10 social science CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE

What is the median of the first 10 natural numbers class 10 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

What is the missing number in the sequence 259142027 class 10 maths CBSE

