Two Stars of equal mass rotate about a common centre-of-mass in a common circular orbit of radius \(R.\) The total mass of the Stars is \(M.\)
The orbital speed of each Star is:
1. \(\sqrt{\dfrac{GM}{8R}}\)

2. \(\sqrt{\dfrac{GM}{16R}}\)

3. \(\sqrt{\dfrac{GM}{2R}}\)

4. \(\sqrt{\dfrac{GM}{4R}}\)
Subtopic:  Orbital velocity |
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A planet of mass \(m,\) moves in a circular orbit around the sun (mass: \(M,M\gg m\)); the angular momentum of the planet in its orbit being \(L.\) The speed of the planet in its orbit equals:
1. \(\dfrac{GMm}{2L}\) 2. \(\dfrac{GMm}{L}\)
3. \(\dfrac{2GMm}{L}\) 4. \(\dfrac{4GMm}{L}\)
Subtopic:  Orbital velocity |
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