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

    Related Questions to study

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.