Home Physics Gravitation JEE Main 2023 Two satellites of masses m and 3 m revolve a…
Physics Gravitation JEE Main 2023 MCQ (Single Correct)

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

A
: l
B
3:1
C
9 : 1
D
1:1

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The correct answer is:
A

The orbital velocity is given

where M is the mass of earth and r is the radius of the orbit of satellite.

The velocity of the satellite with mass m is

and the velocity of the satellite with mass 3m is

Hence, the ratio of the velocities is

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