A steel wire having a radius of $2.0\, mm$, carrying a load of $4\, kg$, is hanging from a ceiling. Given that $g = 3.1\pi \,m{s^{ - 2}}$ , what will be the tensile stress that would be developed in the wire?
JEE MAIN 2019, Medium
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Tensile stress in wire will be
$ = \frac{{Tensile\,force}}{{Cross\,section\,Area}}$
$ = \frac{{mg}}{{\pi {R^2}}} = \frac{{4 \times 3.1\pi }}{{\pi \times 4 \times {{10}^{ - 6}}}}N{m^{ - 2}} = 3.1 \times {10^6}N{m^{ - 2}}$
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