Kinematics Question 795
Question: Two bodies of equal masses revolve in circular orb it’s of radii $ R _{1} $ and $ R _{2} $ with the same period. Their centripetal forces are in the ratio[Kerala PMT 2004]
Options:
A) $ {{( \frac{R _{2}}{R _{1}} )}^{2}} $
B)$ \frac{R _{1}}{R _{2}} $
C) $ {{( \frac{R _{1}}{R _{2}} )}^{2}} $
D) $ \sqrt{R _{1}R _{2}} $
Show Answer
Answer:
Correct Answer: B
Solution:
$ F=m( \frac{4{{\pi }^{2}}}{T^{2}} )R $ . If masses and time periods are same then $ F\propto R $ $ F _{1}/F _{2}=R _{1}/R _{2} $
