Discussion Forum



1)

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


A) $\frac{1}{9}$

B) 81

C) $\frac{1}{81}$

D) 9

Answer:

Option D

Explanation:

$Stress=\frac{Weight}{Area}$

     Volume will become (93) times.

   So weight= volume × density × g will also becomes (9)3 times.

 Area of cross section will become (9)2 times.

                  $=\frac{9^{3}\times W_{0}}{9^{2}\times A_{0}}=9 (\frac{W_{0}}{A_{0}})$

     Hence, the stress increases by a factor of 9