Home › MCQs › EEJ MAIN Physics › Question #7082
Back to Questions
EEJ MAIN Physics QUESTION #7082
Question 1
If a man's linear dimensions increase by a factor of $9$ while his density remains constant, by what factor will the stress in his leg change?
  • $\frac{1}{81}$
  • 9✔️
  • $\frac{1}{9}$
  • 81
Correct Answer Explanation

Stress is defined as $\frac{\text{Force}}{\text{Area}}$.

  • Force (Weight) $\propto \text{Volume} \propto L^3$
  • Area $\propto L^2$
  • $\text{Stress} \propto \frac{L^3}{L^2} \propto L$
  • Since $L$ increases by factor $9$, stress increases by factor $9$.