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

Options

A. `(1)/(9)`
B. 81
C. `(1)/(81)`
D. 9

Answer

D

Explanation

`because"Stress"=("Weight")/("Area")`
Volume will become `(9^(3))` times.
So weight = volume `xx` g will also become `(9^(3))` times .
`=((9^(3))xxW_(0))/(9^(2)xxA_(0))=9((W_(0))/(A_(0)))`
Hence , the stress increases by a factor of 9.