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The earth may be regarded as a spherical...

The earth may be regarded as a spherically shaped uniform core of density `rho_(1)` and radius `(R)/(2)` surrounded by a uniform shell of thickness `(R)/(2)` and density `rho_(2)`. Find the ratio of `(rho_(1))/(rho_(2))` if the value of acceleration due to gravity is the same at surface as at depth `(R)/(2)` from the surface.

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