Mechanical Properties of Solids

JEE Main level, single correct, medium

73 of 118

Question 73 of 118

A man grows into a giant such that his linear dimensions increase by a factor of 9.9. Assuming that his density remains same, the stress in the leg will change by a factor of:

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Answer: (B) 99

Stress =FA=MgA=\dfrac{F}{A}=\dfrac{Mg}{A}

=ρ(Volume).gA=\dfrac{\rho \left(Volume\right).g}{A}

=ρ(93x3)g92x2=\dfrac{\rho \left({9}^{3}{x}^{3}\right)g}{{9}^{2}{x}^{2}}

=9times=9times

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