Q.

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

3 : 1

b

 1 : 1

c

 9: 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=4π2R3GM

Tsat =2π(R+h)2GMe

As 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.

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