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CBSE Class 11-science Answered

a wire 1 mm diameter and 1 m long fixed at one end is stretched by 0.01 mm when a load of 10 kg is attached to its free end. calculate young's modulus of elasticity.
Asked by apetkar | 07 Mar, 2019, 08:27: AM
answered-by-expert Expert Answer
begin mathsize 12px style Y space equals space fraction numerator S space t space r space e space s space s over denominator S space t space r space a space i space n end fraction space equals space fraction numerator begin display style bevelled F over A end style over denominator begin display style bevelled fraction numerator increment L over denominator L end fraction end style end fraction space equals space fraction numerator F space cross times space L over denominator A cross times space increment L end fraction space equals space fraction numerator 10 cross times 9.8 cross times 1 over denominator begin display style straight pi over 4 end style cross times 10 to the power of negative 3 end exponent cross times 10 to the power of negative 3 end exponent cross times 10 to the power of negative 5 end exponent end fraction space equals space 12.5 cross times 10 to the power of 12 space N divided by m squared end style
where F = Force applied = 1o kg-force,  A is area of cross section of wire, ΔL is change in length and L is initial length of wire
Answered by Thiyagarajan K | 07 Mar, 2019, 11:23: AM
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