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Question

The graph shows the extension of a wire of length 1m suspended from the top of a roof at one end and with a load W connected to the other end. If the cross sectional area of the wire is 1 m m to the power of 2 end exponent , then the Young's modulus of the material of the wire is

  1. 2 cross times 10 to the power of 11 end exponent N m to the power of negative 2 end exponent    
  2. 2 cross times 10 to the power of 10 end exponent N m to the power of negative 2 end exponent    
  3. fraction numerator 1 over denominator 2 end fraction cross times 10 to the power of 11 end exponent N m to the power of negative 2 end exponent    
  4. None of these    

The correct answer is: 2 cross times 10 to the power of 10 end exponent N m to the power of negative 2 end exponent


    Y equals fraction numerator F divided by A over denominator capital delta l divided by l end fraction equals fraction numerator W l over denominator A capital delta end fraction rightwards double arrow fraction numerator W over denominator capital delta l end fraction equals fraction numerator Y A over denominator l end fraction equals text  slope  end text rightwards double arrow Y equals fraction numerator l over denominator A end fraction left parenthesis text  slope  end text right parenthesis equals fraction numerator 1 over denominator 10 to the power of negative 6 end exponent end fraction open parentheses fraction numerator 40 minus 20 over denominator left parenthesis 2 minus 1 right parenthesis cross times 10 to the power of negative 3 end exponent end fraction close parentheses equals 2 cross times 10 to the power of 10 end exponent N m to the power of negative 2 end exponent

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