GATE-2015
11. Considering the Airy isostatic compensation for a mountain having elevation of 2.0km above the mean sea level at a point P, the thickness of its root below P would be ...km. ( consider densities of crustal rock and upper mantle as 2.7gm/cc and 3.3 gm/cc respectively)
According
to the Airy-Heiskanen model of isostatic
compensation an upper layer of Earth “floats” on a
denser magma-like substratum, just as ice brags
float in water.
compensation an upper layer of Earth “floats” on a
denser magma-like substratum, just as ice brags
float in water.
Here we have to find the root zone r1= ( ρc / (ρm – ρc)) h1 -------(1)
mountain
height h1= 2 km
Density
of crust ρc =2.7
gm/cc
Density
of mantle ρm
= 3.3 gm/cc
r1
= (2.7 / (3.3- 2.7) * 200000)
r1
= (2.7 / 0.6) *
200000
r1
= 900000 cm
r1
= 9 km
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A 2.0 km thick, and isostatically
ReplyDeleteuncompensated, elevated land mass of density
2.7 g/cc is associated with a 14.0 km root at
the crust-mantle boundary, where the mantle is
denser by 0.3 g/cc than the lower crust. What
would be the thickness of the root, when the
land mass is isostatically compensated?
Nice question..
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