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A wire with a radius of 5mm is hung freely from the ceiling. A load of 5N is applied to its free end. Find the elongation in the wire if its volume is 7.85*10^-5m^3 & young’s modulus is 10^11N/m^2.(a) 6.21*10^-7m(b) 7.00*10^-7m(c) 6.36*10^-7m(d) 8.00*10^-9mThis question was addressed to me in a job interview.I'm obligated to ask this question of Solids Mechanical Properties topic in chapter Mechanical Properties of Solids of Physics – Class 11

Answer»

Right option is (c) 6.36*10^-7m

Explanation: The INITIAL length of wire is VOL / πr^2= 7.85*10^-5/ π*0.005^2 = 1m.

Stress = Y*strain. F/A = Y*Δl / l.

Δl = F/A * l/Y= (5/πr^2)*(1/10^11)

= 6.37*10^-7m.



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