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Question

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 :

A
181
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B
9
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C
19
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D
81
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Solution

The correct option is D 9
Stress=forceArea

Let linear dimensions be l,b,h.

Stress=Forcel×b

Now, dimensions increase by facror of g.

So, Now S=Force9l×9b=ma81lb

S=ρVa81×lb

SS=93V81×lb×lbV

S=9S
Hence stress in leg will change by factor of 9




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