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The density of the core of a planet is \( \rho_{1} \) and that of the
\( \mathrm{P} \) outer shell is \( \rho_{2} \). The radii of the core and that of the planet are \( R \) and \( 2 R \) respectively. Gravitational acceleration at the surface
W of the planet is same as at a depth \( R \). Find the \( \rho_{1} / \rho_{2} \).
Figure 6.114
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