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If the thickness of the wire is doubled, then the breaking force in the above question will be

Physics-General

  1. 8 F    
  2. F    
  3. 6 F    
  4. 4 F    

    Answer:The correct answer is: 4 FBreaking force proportional to pi r to the power of 2 end exponent
    If thickness (radius) of wire is doubled then breaking force will become four times

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    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

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    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
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    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

    physics-General
    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
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    The following data were obtained when a wire was stretched within the elastic region Force applied to wire 100 N
    Area of cross-section of wire 10 to the power of negative 6 end exponent m to the power of 2 end exponent
    Extensional of wire 2 cross times 10 to the power of negative 9 end exponent m
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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

    Stress = fraction numerator 100 N over denominator 10 to the power of negative 6 end exponent m to the power of 2 end exponent end fraction equals 10 to the power of 8 end exponent blank N m to the power of negative 2 end exponent
    Strain equals blank fraction numerator 2 cross times 10 to the power of negative 3 end exponent over denominator 2 end fraction equals 10 to the power of negative 3 end exponent
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    Extensional of wire 2 cross times 10 to the power of negative 9 end exponent m
    Which of the following deductions can be correctly made from this data?
    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

    physics-General
    Stress = fraction numerator 100 N over denominator 10 to the power of negative 6 end exponent m to the power of 2 end exponent end fraction equals 10 to the power of 8 end exponent blank N m to the power of negative 2 end exponent
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    Energy stored = fraction numerator 1 over denominator 2 end fraction cross times 100 blank cross times 2 cross times 10 to the power of negative 3 end exponent blank J
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