Question

Two bodies of mass 10 kg and 5 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

• A. $R/r$
• B. $r/R$
• C. $R^{2}/r^{2}$
• D. $r^{2}/R^{2}$

Answer 1

Answer: (A)

$R/r$

Answer 2

$\frac{a_{R}}{a_{r}} = \frac{\omega_{R}^{2} \times R}{\omega_{r}^{2} \times r} = \frac{T_{r}^{2}}{T_{R}^{2}} \times \frac{R}{r} = \frac{R}{r}$ [As T_r = T_R]