In the reported figure of earth, the value of acceleration due to gravity is same at point $A$ and $C$ but it is smaller than that of its value at point $B$ (surface of the earth). The value of $O A : A B$ will be $x : 5$ . The value of $x$ is

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g A = G M r R 3 g C = G M R + R 2 2 g A = g C r R 3 = 1 9 4 R 2 ⇒ r = 4 R 9 so O A = 4 R 9 ; A B = R - r = 5 R 9 O A : A B = 4 : 5

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