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)

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)

\frac{1}{9}

This is an incorrect option.

Option 3)

81

This is an incorrect option.

Option 4)

\frac{1}{81}

This is an incorrect option.

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