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 :

Option 1) 9

Option 2) \frac{1}{9} 

Option 3) 81

Option 4) \frac{1}{81} 
 

Answers (1)

Stress -

Stress =\frac{force}{Area}=\frac{F}{A}
 

- wherein

F= applied \: force

A= area \:

 

 Stress =\frac{F}{A}=\frac{mg}{A}

Stress =\frac{Volume\times density\times g}{L^{2}}

Stress =\frac{L^{3}\rho g}{L^{2}}=Stress\ \alpha\ L

Correct option is 1.

 

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