A man grows into a giant such that ...
Question

# 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 : ( quad )(1) 81(2) ( frac{1}{81} )(3) 9(4) ( frac{1}{9} )

JEE/Engineering Exams
Physics
Solution
59
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( begin{array}{l}begin{aligned} text { Stress } &=frac{text {Force}}{text {area}} &=frac{m g}{A} &=frac{text {Volume} times text {density} times g}{text {Area}} end{aligned} text { Stress } & =frac{L^{3} p g}{L^{2}} text {stress} & infty Lend{array} )
Change in stress is proportional to change in length Therefore, stress
changes by a factor of ( 9 . ) (a) option is
correct