**Explanation**

- The maximum height of mountain on earth depends upon shear modulus of rock.
- At the base of the mountain, the stress due to all the rock on the top should be less than the

critical shear stress at which the rock begins to flow.

- Suppose the height of the mountain

is h and the density of its rock is ρ . Then force per unit area (due to the weight of the

mountain) at the base = hρ g - The material at the experience this force per unit area in the vertical direction, but sides

of the mountain area free. - Hence there is a tangential shear of the order of hρ g . The

elastic limit for a typical rock is about 3 ×108 Nm −2 and its density is 3 ×103 kgm¯³

Hence hmax ρ g = 3 ×108

Or hmax = 10, 000m = 10km

Hence , maximum height of mountain is 10km.