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Mechanical Properties Of Fluids

Question
CBSEENPH11019532

What is a resistance thermometer? Give the method of measuring temperature with it.

Solution

Resistance thermometer is a thermometer, which determines the temperature by studying the variation in resistance of metal due to change in temperature.
Resistance of metals approximately increases linearly with temperature.
By every one-degree rise or fall in temperature, the resistance of conductor increases or decreases by some constant multiple value of resistance of zero degree centigrade. 
∴                    space space space space space straight R subscript straight t space equals space straight R subscript straight o plus straight R subscript straight o αt 
                   straight R subscript straight t minus straight R subscript straight o space equals space straight R subscript straight o αt                       ...(1) 
When t = 100, 
                straight R subscript 100 minus straight R subscript straight o space equals space straight R subscript straight o straight alpha left parenthesis 100 right parenthesis                 ...(2) 
Dividing (1) by (2), we get 
         space space space space space space space space space space space space straight t equals fraction numerator straight R subscript straight t minus straight R subscript straight o over denominator straight R subscript 100 minus straight R subscript straight o end fraction cross times 100