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} $ ]
