Kinematics Question 714

Question: Two bodies of mass 10 kg and 5 kg moving in concentric orb it’s of radii $ R $ and $ r $ such that their periods are the same. Then the ratio between their centripetal acceleration is [CBSE PMT 2001]

Options:

A) $ R/r $

B) $ r/R $

C) $ R^{2}/r^{2} $

D) $ r^{2}/R^{2} $

Show Answer

Answer:

Correct Answer: A

Solution:

$ \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} $ ]



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