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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)


  • Option 2)


  • Option 3)


  • Option 4)



Answers (1)


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)


This is the correct option.

Option 2)


This is an incorrect option.

Option 3)


This is an incorrect option.

Option 4)


This is an incorrect option.

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