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

A man grows into a giant such that his linear dimension increase by a factor of 9. Assuming that his density remains same, the stress in the leg will change by a factor of

A

`(1)/(81)`

B

9

C

`(1)/(9)`

D

81

Text Solution

Verified by Experts

The correct Answer is:
B
Volume of man becomes `= (9)^(3)` times
Weight of man becomes `= 9^(3)` times
Cross section area in leg `= 9^(2)` Times
Stress `= ("Weight")/("Area") = 9` Times
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