Assuming that shear stress at the base of a mountain is equal to the force per unit area due to its weight. Calculate the maximum possible height of a mountain on the earth if breaking stress of a typical rock is `3xx10^8Nm^-3` and its density `3xx10^-3kgm^-3`. (Take `g=10ms^-2`)A. 4 KmB. 8 KmC. 10 KmD. 16 Km

Assuming that shear stress at the base of a mountain is equal to the f

1.	Assuming that shear stress at the base of a mountain is equal to the force per unit area due to its weight. Calculate the maximum possible height of a mountain on the earth if breaking stress of a typical rock is `3xx10^8Nm^-3` and its density `3xx10^-3kgm^-3`. (Take `g=10ms^-2`)A. 4 KmB. 8 KmC. 10 KmD. 16 Km
Answer» Correct Answer - C For a mountain of height h and base area A, weight `W = Ahrhog` So, pressure at the base sue to its own weight is `P = (W)/(A) = (Ahrhog)/(A) = hrhog` The mountain will exist, if `hrhog le` Breaking stress `therefore h le ("Breaking stress")/(rhog)` `h le (30xx 10^(7))/(3xx 10^(3) xx 10) = 10^(4) m = 10 Km` `therefore h_("max") = 10 km`

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