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MHT CET202013 Oct 2020Evening ShiftPhysicsMechanical Properties of SolidsActual

A force of 10 ~N is required to break a wire of radius 1 ~mm . The force required to break the wire of same material, but radius 3 ~mm will be

Options

  1. A10 9 ~N
  2. B10 3 ~N
  3. C90 ~N
  4. D30 ~N

Correct answer

C. 90 ~N

Step-by-step solution

We know that, the required force depends upon the cross-sectional area. F= Stress Area So, F₁ F₂ = R₁² R₂² F₂= 3² 1² 10=90 ~N

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