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CBSE Class 11-science Answered

Write down the expression for workdone in the extension of wire.
Asked by sompradhan37 | 21 Feb, 2020, 09:12: PM
answered-by-expert Expert Answer
Youngs modulus Y = Stress/Strain
 
Y = (F/A) / ( begin mathsize 14px style l end style/L ) 
where F is applied force and A is area of cross section , begin mathsize 14px style l end style is change in length and L is initial length
hence force F = [ ( Y A ) / L ] begin mathsize 14px style l end style  = k begin mathsize 14px style l end style
where k is constant and depends on youngs modulus, cross section area and length.
 
workdone begin mathsize 14px style W space equals space integral subscript 0 superscript l F d l space equals space integral subscript 0 superscript l k space l space d l space equals space 1 half k space l squared space equals space fraction numerator Y space A over denominator 2 L end fraction l squared end style
Answered by Thiyagarajan K | 22 Feb, 2020, 10:42: AM
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