Verified Solution • 2025–26 Session moderate

QJEEM19Phd844: JEE Main 2019 Physics - Class 11 JEEM19Phd844 Solution: A steel wire having a radius of 2.0 mm, carrying a load of 4…

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 p ms–2, what will be the tensile stress that would be developed in the wire ?

Multiple Choice Options

  • A 3.1 × 106 Nm–2
  • B 6.2 × 106 Nm–2
  • C 4.8 × 106 Nm–2
  • D 5.2 × 106 Nm–2

Step-by-Step Verified Solution

Tensile stress in wire will be

= TensileforceCrosssectionArea{{Tensile{\rm{ }}force} \over {Cross{\rm{ }}section{\rm{ }}Area}}

= mgπR2=4×3.1ππ×4×10−6Nm−2{{mg} \over {\pi {R^2}}} = {{4 \times 3.1\pi } \over {\pi \times 4 \times {{10}^{ - 6}}}}N{m^{ - 2}}

= 3.1 × 106 Nm–2

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