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Two bodies of mass $10 \mathrm{~kg}$ and $5 \mathrm{~kg}$ moving in concentric orbits of radii $R$ and $r$ such that their periods are the same. Then the ratio between their centripetal acceleration is
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$R / r$
$\frac{a_R}{a_r}=\frac{\omega_R^2 \times R}{\omega_r^2 \times r}=\frac{T_r^2}{T_R^2} \times \frac{R}{r}=\frac{R}{r}$
$\left[\right.$ As $\left.T_r=T_R\right]$
$\left[\right.$ As $\left.T_r=T_R\right]$
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