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CBSE Class 11-science Answered

Reading on a Fahrenheit thermometer is 7/5 times the reading on Celsius thermometer. What is the temperature on Fahrenheit and Celsius scale?
Asked by Topperlearning User | 13 Apr, 2015, 03:40: PM
answered-by-expert Expert Answer

If the reading in Celsius thermometer is x, then the reading on Fahrenheit thermometer is 7x/5.

Then, we get

begin mathsize 12px style straight T subscript straight C over 100 equals fraction numerator straight T subscript straight F minus 32 over denominator 180 end fraction straight x over 100 equals fraction numerator begin display style fraction numerator 7 straight x over denominator 5 end fraction minus 32 end style over denominator 180 end fraction straight x over 100 equals fraction numerator 7 straight x minus 160 over denominator 900 end fraction 9 straight x equals 7 straight x minus 160 2 straight x equals negative 160 straight x equals negative 80 end style

Hence, the temperature in Celsius thermometer is -80 °C and

that in the Fahrenheit thermometer is -112 °F


Answered by | 13 Apr, 2015, 05:40: PM

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