Two bodies of masses 10 kg and 5 kg moving in concentric orbits of radii R and r such that their periods are the same. Then the ratio between their centripetal accelerations is
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a
R / r
b
r / R
c
R2 / r2
d
r2 / R2
answer is A.
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Detailed Solution
ac=V2r=(rω)2r=rω2ac=4π2r/T2 (∵ω=2π/T)ac1=4π2R/T2 and ac2=4π2r/T2∴ ac1ac2=Rr