Q.

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
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