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Q.

Two satellites of masses 3m and m revolve around the earth in circular orbit of radii r & 3r respectively. The ratio of orbital speeds of the satellites respectively is

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a

3:1

b

1:1

c

9:1

d

3:1

answer is A.

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Detailed Solution

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Orbital velocity is independent of the mass of the satellite.

 Orbital speed =V=GMr∝1r V1V2=r2r1=3rr=3

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Two satellites of masses 3m and m revolve around the earth in circular orbit of radii r & 3r respectively. The ratio of orbital speeds of the satellites respectively is