If the gravitational force between two objects were proportional to \(\frac{1}{R}\) (and not as\(\frac{1}{R^2}\)) where \(R\) is the separation between them, then a particle in circular orbit under such a force would have its orbital speed \(v\) proportional to:
1. \(\frac{1}{R^2}\)
2. \(R^{0}\)
3. \(R^{1}\)
4. \(\frac{1}{R}\)
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyFor the moon to cease as the earth's satellite, its orbital velocity has to be increased by a factor of:
1. | \(2\) | 2. | \(\sqrt{2}\) |
3. | \(1/\sqrt{2}\) | 4. | \(4\) |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyRohini satellite is at a height of \(500\) km and Insat-B is at a height of \(3600\) km from the surface of the earth. The relation between their orbital velocity (\(v_R,~v_i\)) is:
1. \(v_R>v_i\)
2. \(v_R<v_i\)
3. \(v_R=v_i\)
4. no specific relation
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyTwo satellites \(A\) and \(B\) go around the earth in circular orbits at heights of \(R_A ~\text{and}~R_B\) respectively from the surface of the earth. Assuming earth to be a uniform sphere of radius \(R_e\), the ratio of the magnitudes of their orbital velocities is:
1. \(\sqrt{\frac{R_{B}}{R_{A}}}\)
2. \(\frac{R_{B} + R_{e}}{R_{A} + R_{e}}\)
3. \(\sqrt{\frac{R_{B} + R_{e}}{R_{A} + R_{e}}}\)
4. \(\left(\frac{R_{A}}{R_{B}}\right)^{2}\)
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyThe radii of the circular orbits of two satellites \(A\) and \(B\) of the earth are \(4R\) and \(R,\) respectively. If the speed of satellite \(A\) is \(3v,\) then the speed of satellite \(B\) will be:
1. | \(3v/4\) | 2. | \(6v\) |
3. | \(12v\) | 4. | \(3v/2\) |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology