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Q. No.A satellite is in a circular orbit around a planet, orbiting with a speed of \(2\) km/s. What is the minimum additional velocity that should be given to it, perpendicular to its motion, so that it escapes?
| 1. | \(2\) km/s | 2. | \(2\sqrt2\) km/s |
| 3. | \(2(\sqrt2-1)\) km/s | 4. | \(2(\sqrt2+1)\) km/s |
Subtopic: Â Escape velocity |
From NCERT
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What should be the mass of a uniform sphere of radius \(R\) so that the escape velocity from its surface equals \(c,\) the velocity of light in vacuum? (Assume Newton's theory of gravitation to hold true)
| 1. | \(\dfrac{Rc^2}{G}\) | 2. | \(\dfrac{Rc^2}{2G}\) |
| 3. | \(\dfrac{2Rc^2}{G}\) | 4. | \(\sqrt2\dfrac{Rc^2}{G}\) |
Subtopic: Â Escape velocity |
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From NCERT
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The escape velocity of a body on the earth's surface is \(11.2~\text{km/s}.\) If the same body is projected upward with a velocity \(22.4~\text{km/s},\) the velocity of this body at an infinite distance from the centre of the earth will be:
| 1. | \(11.2\sqrt2~\text{km/s}\) | 2. | zero |
| 3. | \(11.2~\text{km/s}\) | 4. | \(11.2\sqrt3~\text{km/s}\) |
Subtopic: Â Escape velocity |
From NCERT
NEET - 2023
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