# 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) Option 3) 81 Option 4)

P perimeter

As we learnt in

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.

Option 1)

9

This is the correct option.

Option 2)

This is an incorrect option.

Option 3)

81

This is an incorrect option.

Option 4)

This is an incorrect option.

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