Two satellites of masses m and 3m revolve around the Earth in circular orbits of radii r and 3r respectively. The ratio of their orbital speeds is:
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Question

Two satellites of masses m and 3m revolve around the Earth in circular orbits of radii r and 3r respectively. The ratio of their orbital speeds is:

G1 Physics · Accepted Answer

Orbital speed of a satellite is v = √(GM/r) It does not depend on the mass of the satellite. Therefore, v₁/v₂ = √(r₂/r₁) = √(3r/r) = √3 Hence the ratio is √3 : 1. Option C follows.