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Question and Answer

At what temperature is the Fahrenheit scale reading equal to twice of Celsius ?
(A) \( 40^0C \)
(B) \( 160^0C \)
(C) \( 80^0C \)
(D) \( 100^0C \)

Answer

Answer: B
We know the relation between Fahrenheit scale and degree celsius,

\(\dfrac{C-0}{100}=\dfrac{F-32}{180}\)

Given,

\(F=2C\)

Then,

\(\dfrac{C}{100}=\dfrac{2C-32}{180}\)

\(\dfrac{C}{100}=\dfrac{C-16}{90}\)

\(\implies 9C=10C-160\)

\(\implies C=160^0C\)
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