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Q. No.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. \(\sqrt{\dfrac{GM}{4R}}\)
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: Â Orbital velocity |
From NCERT
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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: Â Orbital velocity |
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From NCERT
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