Prove that the height of mountain on earth cannot be more than 10 km?

1.	Prove that the height of mountain on earth cannot be more than 10 km?
Answer» Elastic limit of earth is 3×10^8N, since pressure exerted by the mountain is balanced by elastic limit of earth so, pgh is less than 3×10^8N/m2, density of mountain (p)=3×10^3kg/m3, so, pgh <3×10^8Nm^-2......3×10^3×10h <3×10^8.....10^4h <10^8N. ..h <10^4m..Therefore h <10000m or h <10km

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