Two bodies of equal masses revolve in circular orbits of radii `R_(1)` and `R_(2)` with the same period. Their centripetal forces are in the ratio :

Options

A. `((R_(2))/(R_(1)))^(2)`
B. `(R_(1))/(R_(2))`
C. `((R_(1))/(R_(2)))^(2)`
D. `sqrt(R_(1)R_(2))`

Answer

B

Explanation

Here, centripetal force`F=mromega^(2)`
`F=mr((2pi)/(T))^(2)`
`(F_(1))/(F_(2))=(mR_(1)((2pi)/(T))^(2))/(mR_(2)((2pi)/(T))^(2))=(R_(1))/(R_(2))` Hence (b) is the correct choice.