Physics-
General
Easy

Question

Two wires of resistance R1 and R2 have temperature coefficient of resistance alpha subscript 1 end subscript and alpha subscript 2 end subscript , respectively. These are joined in series. The effective temperature coefficient of resistance is :

  1. fraction numerator alpha subscript 1 end subscript plus alpha subscript 2 end subscript over denominator 2 end fraction    
  2. square root of alpha subscript 1 end subscript alpha subscript 2 end subscript end root    
  3. fraction numerator alpha subscript 1 end subscript R subscript 1 end subscript plus alpha subscript 2 end subscript R subscript 2 end subscript over denominator R subscript 1 end subscript plus R subscript 2 end subscript end fraction    
  4. fraction numerator square root of R subscript 1 end subscript R subscript 2 end subscript alpha subscript 1 end subscript alpha subscript 2 end subscript end root over denominator square root of R subscript 1 end subscript superscript 2 end superscript plus R subscript 2 end subscript superscript 2 end superscript end root end fraction    

The correct answer is: fraction numerator alpha subscript 1 end subscript R subscript 1 end subscript plus alpha subscript 2 end subscript R subscript 2 end subscript over denominator R subscript 1 end subscript plus R subscript 2 end subscript end fraction

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