Physics-
General
Easy

Question

The ratio of diameters of two wires of same materials is n: 1. The length of each wire is 4 m. On applying the same load, the increase in length of thin wire will be open parentheses n greater than 1 close parentheses

  1. n2 times    
  2. n times    
  3. 2n times    
  4. (2n+1) times    

The correct answer is: n2 times


    Y equals blank fraction numerator fraction numerator F over denominator A end fraction over denominator fraction numerator increment l over denominator l end fraction end fraction equals fraction numerator F l over denominator A increment l end fraction
    Or Y equals blank fraction numerator F l blank cross times 4 over denominator pi D to the power of 2 end exponent cross times increment l end fraction blank o r increment l blank proportional to fraction numerator 1 over denominator D to the power of 2 end exponent end fraction o r fraction numerator increment L subscript 2 end subscript over denominator increment L subscript 1 end subscript end fraction equals fraction numerator D subscript 1 end subscript superscript 2 end superscript over denominator D subscript 2 end subscript superscript 2 end superscript end fraction equals fraction numerator n to the power of 2 end exponent over denominator 1 end fraction

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