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

A man grows into a giant such that his linear dimensions increase by a

1.	A man grows into a giant such that his linear dimensions increase by a factor of 9. Assuming the his dimensity remains same, the stress in the leg will change by a factor of
Answer» 9 `1/9` 81 `1/81` SOLUTION :According to the question , `V_f/V_i=(9)^3` As density REMAINS same, `prop` volume So, `m_f/m_i=(9)^3` Also,`A_f/A_i=(9)^2` `Stress=(force)/(area)=(mtimesg)/A` `thereforeS_f/S_i=m_f/m_itimesA_i/A_f=(9)^3times1/(9)^2=9`