Answer
Verified
390.9k+ views
Hint :To find the answer, we need to know the relation between Celsius and Fahrenheit scale. The given condition is that the temperature on Fahrenheit is double to that of Celsius. So, let us assume that the temperature on Celsius scale as ‘x’ and the temperature on Fahrenheit is taken as ‘2x’ as mentioned above.
Complete Step By Step Answer:
There is a simple formula that explains the relation between Fahrenheit and Celsius scales. The formula we need to use here is,
$ {T_c} = \left( {{T_f} - 32} \right) \times \dfrac{5}{9} $
Where
$ {T_c} $ = temperature in Celsius
$ {T_f} $ = temperature in Fahrenheit
Now, let us assume that Celsius temperature $ \left( {{T_c}} \right) $ as ‘x’ and Fahrenheit temperature $ \left( {{T_f}} \right) $ as ‘2x’. By substituting the values in the above formula, we get
$ \Rightarrow x = \left( {2x - 32} \right) \times \dfrac{5}{9} \\
\Rightarrow 9x = \left( {2x - 32} \right) \times 5 \\
\Rightarrow 9x = 10x - 160 \\
\Rightarrow 9x - 10x = - 160 \\
\Rightarrow - 1x = - 160 \\
\Rightarrow x = 160 \\
\Rightarrow {T_c} = 160 $
We have got the value of ‘x’, which is the temperature in Celsius. When you look at the options, the temperature is given in Fahrenheit, so we need to convert it into Fahrenheit. We assumed that the Fahrenheit temperature was ‘2x’. Now substituting the value of ‘x’ we get
$ \Rightarrow {T_f} = 2x \\
\Rightarrow 2\left( {160} \right) = 320 \\
\Rightarrow {T_f} = {320^\circ }F $
So at the temperature of $ {320^\circ }F $ , the reading will be double that of the Celsius scale.
By the above explanation, we can conclude that the correct option is D.
Note :
The Celsius scale has two fixed points namely freezing point $ \left( {{0^\circ }C} \right) $ and boiling point $ \left( {{{100}^\circ }C} \right) $ . In the similar way, the Fahrenheit scale has freezing point at $ {32^\circ }F $ and boiling point at $ {212^\circ }F $ . There is a temperature where both Celsius and Fahrenheit scale will give the same reading. This is at $ - {40^\circ } $ .
Complete Step By Step Answer:
There is a simple formula that explains the relation between Fahrenheit and Celsius scales. The formula we need to use here is,
$ {T_c} = \left( {{T_f} - 32} \right) \times \dfrac{5}{9} $
Where
$ {T_c} $ = temperature in Celsius
$ {T_f} $ = temperature in Fahrenheit
Now, let us assume that Celsius temperature $ \left( {{T_c}} \right) $ as ‘x’ and Fahrenheit temperature $ \left( {{T_f}} \right) $ as ‘2x’. By substituting the values in the above formula, we get
$ \Rightarrow x = \left( {2x - 32} \right) \times \dfrac{5}{9} \\
\Rightarrow 9x = \left( {2x - 32} \right) \times 5 \\
\Rightarrow 9x = 10x - 160 \\
\Rightarrow 9x - 10x = - 160 \\
\Rightarrow - 1x = - 160 \\
\Rightarrow x = 160 \\
\Rightarrow {T_c} = 160 $
We have got the value of ‘x’, which is the temperature in Celsius. When you look at the options, the temperature is given in Fahrenheit, so we need to convert it into Fahrenheit. We assumed that the Fahrenheit temperature was ‘2x’. Now substituting the value of ‘x’ we get
$ \Rightarrow {T_f} = 2x \\
\Rightarrow 2\left( {160} \right) = 320 \\
\Rightarrow {T_f} = {320^\circ }F $
So at the temperature of $ {320^\circ }F $ , the reading will be double that of the Celsius scale.
By the above explanation, we can conclude that the correct option is D.
Note :
The Celsius scale has two fixed points namely freezing point $ \left( {{0^\circ }C} \right) $ and boiling point $ \left( {{{100}^\circ }C} \right) $ . In the similar way, the Fahrenheit scale has freezing point at $ {32^\circ }F $ and boiling point at $ {212^\circ }F $ . There is a temperature where both Celsius and Fahrenheit scale will give the same reading. This is at $ - {40^\circ } $ .
Recently Updated Pages
10 Examples of Evaporation in Daily Life with Explanations
10 Examples of Diffusion in Everyday Life
1 g of dry green algae absorb 47 times 10 3 moles of class 11 chemistry CBSE
What happens when dilute hydrochloric acid is added class 10 chemistry JEE_Main
What is the meaning of celestial class 10 social science CBSE
What causes groundwater depletion How can it be re class 10 chemistry CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Which are the Top 10 Largest Countries of the World?
How do you graph the function fx 4x class 9 maths CBSE
Distinguish between the following Ferrous and nonferrous class 9 social science CBSE
The term ISWM refers to A Integrated Solid Waste Machine class 10 social science CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Which is the longest day and shortest night in the class 11 sst CBSE
In a democracy the final decisionmaking power rests class 11 social science CBSE