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IAT IISER2020PhysicsGravitation

The acceleration due to earth's gravity on a point particle at a height h above the surface of the earth is denoted by g_o(h) and at a depth d below the surface of the earth is denoted by g_i(d) . Consider the earth to be a sphere of radius R with uniform mass density. Which of the following correctly represents the ratio g_i(d) / g_o(d) ?

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