Physics-
General
Easy

Question

A platinum resistance thermometer has a resistance of 50 capital omega at 20 degree C. When dipped in a liquid the resistance becomes 76.8 capital omega. The temperature coefficient of resistance for platinum is alpha equals 3.92 cross times 1 0 to the power of negative 3 end exponent divided by degree C. The temperature of the liquid is

  1. 100 degree C    
  2. 137 degree C    
  3. 167 degree C    
  4. 200 degree C    

The correct answer is: 167 degree C


    fraction numerator R subscript 1 end subscript over denominator R subscript 2 end subscript end fraction equals fraction numerator left parenthesis 1 plus alpha t subscript 1 end subscript right parenthesis over denominator left parenthesis 1 plus alpha t subscript 2 end subscript right parenthesis end fraction rightwards double arrow fraction numerator 50 over denominator 76.8 end fraction equals fraction numerator left parenthesis 1 plus 3.92 cross times 1 0 to the power of negative 3 end exponent cross times 20 right parenthesis over denominator left parenthesis 1 plus 3.92 cross times 1 0 to the power of negative 3 end exponent t right parenthesis end fraction
    rightwards double arrow t equals 167 degree C

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