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A man grown into a giant such that his l...

A man grown 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 hange by a factor of:

A

`(1)/(9)`

B

81

C

`(1)/(81)`

D

9

Text Solution

Verified by Experts

The correct Answer is:
D
`because"Stress"=("Weight")/("Area")`
Volume will become `(9^(3))` times.
So weight = volume `xx` g will also become `(9^(3))` times .
`=((9^(3))xxW_(0))/(9^(2)xxA_(0))=9((W_(0))/(A_(0)))`
Hence , the stress increases by a factor of 9.
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