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JEE Main 2017 · Elastic Behaviour, Stress & Strain

Elastic Behaviour, Stress & Strain question from JEE Main 2017

Q22JEE Main 2017Medium

Elastic Behaviour, Stress & Strain

A man grows into a giant such that his linear dimensions increase by a factor of 9. Assuming that his density remains same, the stress in the leg will change by a factor of:

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Answer: (b)

  1. Weight ∝\propto volume ∝L3\propto L^3; leg cross-section area ∝L2\propto L^2.
  2. Stress =weightarea∝L3L2=L= \frac{\text{weight}}{\text{area}} \propto \frac{L^3}{L^2} = L
  3. LL increases 9 times, so stress increases 9 times.
  4. So the answer is (b) 9.
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