Two satellites of mass m and 9m are orbiting a planet in orbits of radius R. Their periods of revolution will be in the ratio of [KCET 2011]
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a
9: 1
b
3 : 1
c
1 : 1
d
1 : 3
answer is C.
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Detailed Solution
As we know,From Kepler's law, time period of satellite is T2=4π2R3GMTsat =2π(R+h)2GMeAs two satellites of masses m and 9m are orbiting a planet of radius R, their time periods will remain same, i.e. in the ratio 1 : 1, because time period of satellite does not depend on its mass.