Question

Two bodies of mass `10kg` and `5kg` moving in concentric orbits of radii `R` and `r` such that their periods are the same. Then the ratio between their centipetal acceleration is
A. `R//r`
B. `r//R`
C. `R^(2)//r^(2)`
D. `r^(2)//R^(2)`

Answer 1

Correct Answer - A
`(2piR)/(v^(1))=(2pir)/(v_(2))implies(v_(1))/(v_(2))=(R )/(r )`
`(a_(10))/(a_(2))=(v_(1)^(2)//R)/(v_(2)^(2)//R)=((v_(1))/(v_(2)))^(2)((r )/(R ))`