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Q. No.The speed of a satellite orbiting close to the Earth's surface is \(v.\) If the radius of the orbit becomes \(4\) times, then the orbital speed will be: (neglect air resistance)
| 1. | \(4v\) | 2. | \(2v\) |
| 3. | \(\dfrac{v}{2}\) | 4. | \(\dfrac{v}{4}\) |
Subtopic: Orbital velocity |
66%
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A planet of uniform density has a narrow frictionless tunnel \((AB)\) along its diameter (\(2R\)). The acceleration due to 'gravity' on the surface of the planet is \(g.\)
A particle is given a velocity \(v_0\) at the point \(A,\) perpendicular to \(OA,\) so that it circles the planet – close to its surface. What is its angular speed?
A particle is given a velocity \(v_0\) at the point \(A,\) perpendicular to \(OA,\) so that it circles the planet – close to its surface. What is its angular speed?
| 1. | \(\sqrt{\dfrac{g}{R}}\) | 2. | \(\sqrt{\dfrac{2g}{R}}\) |
| 3. | \(\sqrt{\dfrac{g}{2R}}\) | 4. | \(2\sqrt{\dfrac{g}{R}}\) |
Subtopic: Orbital velocity |
60%
From NCERT
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Q. No.
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