Physics-
General
Easy

Question

The Young’s modulus of the material of a wire is 2 cross times 10 to the power of 10 end exponent N m to the power of negative 2 end exponent. If the elongation strain is 1 percent sign, then the energy stored in the wire per unit volume in J m blank to the power of negative 3 end exponent is

  1. 10 to the power of 6 end exponent    
  2. 10 to the power of 8 end exponent    
  3. 2 cross times 10 to the power of 6 end exponent    
  4. 2 blank cross times 10 to the power of 8 end exponent    

The correct answer is: 10 to the power of 6 end exponent


    Per unit volume energy stored
    equals fraction numerator 1 over denominator 2 end fraction cross times Y cross times left parenthesis s t r a i n right parenthesis to the power of 2 end exponent equals fraction numerator 1 over denominator 2 end fraction cross times Y cross times open parentheses fraction numerator l over denominator L end fraction close parentheses to the power of 2 end exponent
    given l equals L cross times 1 percent sign
    or l equals fraction numerator L over denominator 100 end fraction cross times s t o r e d blank e n e r g y
    Y equals fraction numerator 1 over denominator 2 end fraction cross times 2 cross times 10 to the power of 10 end exponent cross times open parentheses fraction numerator L over denominator 100 L end fraction close parentheses to the power of 2 end exponent equals 10 to the power of 6 end exponent J m to the power of negative 3 end exponent

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    The following data were obtained when a wire was stretched within the elastic region Force applied to wire 100 N
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    Extensional of wire 2 cross times 10 to the power of negative 9 end exponent m
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    II. The strain is 10 to the power of negative 3 end exponent
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    The following data were obtained when a wire was stretched within the elastic region Force applied to wire 100 N
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    I. The value of Young’s Modulus is 10 to the power of 11 end exponent N blank m to the power of negative 2 end exponent
    II. The strain is 10 to the power of negative 3 end exponent
    III. The energy stored in the wire when the load is applied is 10 J

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